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Journal articles on the topic 'NNLO calculation'

Author: Grafiati

Published: 9 March 2023

Last updated: 31 July 2025

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1

FERROGLIA, ANDREA. "QCD CORRECTIONS TO THE RADIATIVE DECAY $\bar{B}\to X_s\gamma$." Modern Physics Letters A 23, no. 37 (2008): 3123–40. http://dx.doi.org/10.1142/s021773230802879x.

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In this short review, the calculation of the next-to-next-to-leading order QCD corrections to the inclusive radiative decay [Formula: see text] is described. We summarize the salient features of the calculational framework adopted, discuss the results obtained in the last few years, and indicate the technical tools that made the NNLO calculations possible. We conclude by comparing the current NNLO theoretical estimate for the branching ratio with the experimental measurement and by briefly discussing the size and origin of the residual theoretical uncertainty.

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2

Giménez, Vicent, Leonardo Giusti, Guido Martinelli, and Federico Rapuano. "NNLO unquenched calculation of the b quark mass." Journal of High Energy Physics 2000, no. 03 (2000): 018. http://dx.doi.org/10.1088/1126-6708/2000/03/018.

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3

GimenÃ©z, V. "NNLO unquenched calculation of the b quark mass." Nuclear Physics B - Proceedings Supplements 83-84, no. 1-3 (2000): 286–88. http://dx.doi.org/10.1016/s0920-5632(00)00254-1.

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4

Giménez, V., L. Giusti, F. Rapuano, and G. Martinelli. "NNLO unquenched calculation of the b quark mass." Nuclear Physics B - Proceedings Supplements 83-84 (April 2000): 286–88. http://dx.doi.org/10.1016/s0920-5632(00)91649-9.

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5

Contogouris, A. P., and G. Grispos. "Approximate calculation of corrections at NLO and NNLO." Nuclear Physics B - Proceedings Supplements 96, no. 1-3 (2001): 94–97. http://dx.doi.org/10.1016/s0920-5632(01)01115-x.

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6

WANG, JIAN, GUOMING CHEN, and WEIMIN WU. "THE IMPACT OF LO, NLO AND NNLO FOR THE HIGGS SEARCHING AT $\sqrt{s} = 7$ TeV OF LHC." Modern Physics Letters A 25, no. 36 (2010): 3027–31. http://dx.doi.org/10.1142/s0217732310034146.

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Most of current Monte Carlo studies on the Higgs searching are based on LO, or NLO calculation. However, in recent years, the next-to-next-to-leading order (NNLO) corrections have been computed for some physics process, and found that the cross section increases the kinematics changes. As the results, the analysis results could be impacted by these high order QCD corrections. We use standard Monte Carlo generator for LO, as well as MC@NLO for NLO and ResBos for NNLO at 7 TeV of LHC to evaluate this impact for physics channel of the Higgs, mass at 165 GeV, to WW, then W decay to lepton and neut

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7

Santiago, J., та F. J. Ynduráin. "Calculation of electroproduction to NNLO and precision determination of αs". Nuclear Physics B 563, № 1-2 (1999): 45–62. http://dx.doi.org/10.1016/s0550-3213(99)00441-1.

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8

HARLANDER, ROBERT, and WILLIAM KILGORE. "HIGGS PRODUCTION IN GLUON FUSION TO ${\mathcal O} (\alpha^4_s)$." International Journal of Modern Physics A 16, supp01a (2001): 305–7. http://dx.doi.org/10.1142/s0217751x01006760.

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The calculation of the NNLO QCD corrections to the partonic process gg → H is outlined. For the coupling of the Higgs boson to the gluons we use an effective Lagrangian in the limit of a heavy top quark. The focus is on the evaluation of the virtual two-loop corrections. It is shown that the leading ole terms are in agreement with general formula by Catani.

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9

Canko, D. D., A. Kardos, C. G. Papadopoulos, A. V. Smirnov, N. Syrrakos, and C. Wever. "Progress on Feynman Integrals for 2 → 3 scattering at NNLO." Journal of Physics: Conference Series 2105, no. 1 (2021): 012009. http://dx.doi.org/10.1088/1742-6596/2105/1/012009.

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Abstract We present recent results on two-loop five-point Feynman Integrals with one off-shell leg that are relevant to the study of many 2 → 3 scattering processes of interest at the LHC, especially for the leading-colour W + 2 jets production. The calculation is based on the Simplified Differential Equations approach.

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10

Ferrera, Giancarlo, Massimiliano Grazzini, and Francesco Tramontano. "Associated ZH production at hadron colliders: The fully differential NNLO QCD calculation." Physics Letters B 740 (January 2015): 51–55. http://dx.doi.org/10.1016/j.physletb.2014.11.040.

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11

Su, Nan. "Recent progress in hard-thermal-loop QCD thermodynamics and collective excitations." International Journal of Modern Physics A 30, no. 09 (2015): 1530025. http://dx.doi.org/10.1142/s0217751x15300252.

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I review recent developments in QCD thermodynamics and collective excitations from the hard-thermal-loop effective theory. I begin by motivating the discussion with open questions from heavy-ion collisions. I then discuss a finite-temperature and density calculation of QCD thermodynamics at NNLO from the hard-thermal-loop perturbation theory. Finally, I discuss a recent exploration of generalizing the hard-thermal-loop framework to the (chromo)magnetic scale g2T, from which a novel massless mode is uncovered.

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12

Bondarenko, S., and S. Pozdnyakov. "NNLO classical solution for Lipatov’s effective action for reggeized gluons." International Journal of Modern Physics A 34, no. 20 (2019): 1950111. http://dx.doi.org/10.1142/s0217751x19501112.

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We consider the formalism of small-[Formula: see text] effective action for reggeized gluons[Formula: see text] and, following the approach developed in Refs. 11–17, calculate the classical gluon field to NNLO precision with fermion loops included. It is demonstrated that for each perturbative order, the self-consistency of the equations of motion is equivalent to the transversality conditions applied to the solution of the equations, these conditions allow to construct the general recursive scheme for the solution’s calculation. The one fermion loop contribution to the classical solutions and

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13

Rana, Narayan. "Mixed QCD-EW two-loop amplitudes for neutral current Drell-Yan production." Journal of Physics: Conference Series 2438, no. 1 (2023): 012145. http://dx.doi.org/10.1088/1742-6596/2438/1/012145.

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Abstract We present the mixed QCD-EW two-loop virtual amplitudes for the neutral current Drell-Yan production. The evaluation of the two-loop amplitudes is one of the bottlenecks for the complete calculation of the NNLO mixed QCD-EW corrections. We present the computational details, especially the evaluation of all the relevant two-loop Feynman integrals using analytical and semi-analytical methods. We perform the subtraction of universal infrared singularities and present the numerical evaluation of the hard function.

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14

Fan, Zhouyou, Rui Zhang, and Huey-Wen Lin. "Nucleon gluon distribution function from 2 + 1 + 1-flavor lattice QCD." International Journal of Modern Physics A 36, no. 13 (2021): 2150080. http://dx.doi.org/10.1142/s0217751x21500809.

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The parton distribution functions (PDFs) provide process-independent information about the quarks and gluons inside hadrons. Although the gluon PDF can be obtained from a global fit to experimental data, it is not constrained well in the large-[Formula: see text] region. Theoretical gluon-PDF studies are much fewer than those of the quark PDFs. In this work, we present the first lattice-QCD results that access the [Formula: see text]-dependence of the gluon unpolarized PDF of the nucleon. The lattice calculation is carried out with nucleon momenta up to 2.16 GeV, lattice spacing [Formula: see

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15

Eskola, K. J., V. J. Kolhinen, P. V. Ruuskanen, and R. L. Thews. "Effects of Shadowing on Drell–Yan Dilepton Production in High Energy Nuclear Collisions." International Journal of Modern Physics E 12, no. 02 (2003): 197–209. http://dx.doi.org/10.1142/s0218301303001260.

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We compute cross sections for the Drell–Yan process in nuclear collisions at next-to-leading order (NLO) in αs. The effects of shadowing on the normalization and on the mass and rapidity dependence of these cross sections are presented. An estimate of higher order corrections is obtained from next-to-next-to-leading order (NNLO) calculation of the rapidity-integrated mass distribution. Variations in these predictions resulting from choices of parton distributions sets are discussed. Numerical results for mass distributions at NLO are presented for RHIC and LHC energies, using appropriate rapid

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16

SALAM, GAVIN P. "DEVELOPMENTS IN PERTURBATIVE QCD." International Journal of Modern Physics A 21, no. 08n09 (2006): 1778–91. http://dx.doi.org/10.1142/s0217751x06032757.

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A brief review of key recent developments and ongoing projects in perturbative QCD theory, with emphasis on conceptual advances that have the potential for impact on LHC studies. Topics covered include: twistors and new recursive calculational techniques; automation of one-loop predictions; developments concerning NNLO calculations; the status of Monte Carlo event generators and progress in matching to fixed order; analytical resummation including the push to NNLL, automation and gap between jets processes; and progress in the understanding of saturation at small x.

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17

Santiago, J., та F. J. Ynduráin. "Improved calculation of F2 in electroproduction and xF3 in neutrino scattering to NNLO and determination of αs". Nuclear Physics B 611, № 1-3 (2001): 447–66. http://dx.doi.org/10.1016/s0550-3213(01)00328-5.

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18

Ocalan, Kadir. "Accurate prediction of the Drell-Yan ϕη* distribution in wide dilepton mass and rapidity ranges in pp collisions through NNLO+N³LL". Physica Scripta 96, № 12 (2021): 125323. http://dx.doi.org/10.1088/1402-4896/ac3e19.

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Abstract This paper presents high-accuracy predictions for the differential cross ss as a function of the key observable ϕ η * of the neutral-current Drell-Yan (DY) dilepton production in proton-proton (pp) collisions. The differential distributions for the ϕ η * are presented by using the state-of-the-art predictions from the combined calculations of fixed-order perturbative quantum chromodynamics (QCD) corrections at next-to-next-to-leading order (NNLO) accuracy and resummation of large logarithmic terms at next-to-next-to-leading logarithmic (NNLL) and next-to-NNLL (N3LL) accuracies, i.e.,

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19

Santiago, J., and F. J. Ynduráin. "NNLO calculation of DIS; Precision determination of the strong coupling constant, extraction of the gluon density, and comments on “hidden” gluinos." Nuclear Physics B - Proceedings Supplements 86, no. 1-3 (2000): 69–73. http://dx.doi.org/10.1016/s0920-5632(00)00544-2.

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20

Becher, Thomas, та Matthias Neubert. "Toward a NNLO calculation of the B¯→Xsγ decay rate with a cut on photon energy: I. Two-loop result for the soft function". Physics Letters B 633, № 6 (2006): 739–47. http://dx.doi.org/10.1016/j.physletb.2006.01.006.

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21

Becher, Thomas, та Matthias Neubert. "Toward a NNLO calculation of the B¯→Xsγ decay rate with a cut on photon energy: II. Two-loop result for the jet function". Physics Letters B 637, № 4-5 (2006): 251–59. http://dx.doi.org/10.1016/j.physletb.2006.04.046.

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22

BEDNYAKOV, A. V. "ON THE TWO-LOOP DECOUPLING CORRECTIONS TO τ-LEPTON AND b-QUARK RUNNING MASSES IN THE MSSM". International Journal of Modern Physics A 25, № 12 (2010): 2437–56. http://dx.doi.org/10.1142/s0217751x10048494.

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Masses of heavy Standard Model (SM) fermions (top-quark, bottom-quark and tau-lepton) play an important role in the analysis of theories beyond the SM. They serve as low-energy input and reduce the parameter space of such theories. In this paper Minimal supersymmetric extension of the SM is considered and two-loop relations between known SM values of fermion masses and running parameters of the MSSM are studied within the effective theory approach. Both b-quark and τ-lepton have the same quantum numbers with respect to SU(2) group and in the MSSM acquire their masses due to interactions with t

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23

KIDONAKIS, NIKOLAOS. "A UNIFIED APPROACH TO NNLO SOFT AND VIRTUAL CORRECTIONS IN ELECTROWEAK, HIGGS, QCD, AND SUSY PROCESSES." International Journal of Modern Physics A 19, no. 11 (2004): 1793–821. http://dx.doi.org/10.1142/s0217751x04018294.

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I present a unified approach to calculating the next-to-next-to-leading order (NNLO) soft and virtual QCD corrections to cross-sections for electroweak, Higgs, QCD, and SUSY processes. I derive master formulas that can be used for any of these processes in hadron–hadron and lepton–hadron collisions. The formulas are based on a unified threshold resummation formalism and can be applied to both total and differential cross-sections for processes with either simple or complex color flows and for various factorization schemes and kinematics. As a test of the formalism, I rederive known NNLO result

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24

Alioli, Simone, Alessandro Broggio, Alessandro Gavardi, et al. "Precise predictions for photon pair production matched to parton showers in GENEVA." Journal of High Energy Physics 2021, no. 4 (2021). http://dx.doi.org/10.1007/jhep04(2021)041.

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Abstract We present a new calculation for the production of isolated photon pairs at the LHC with $$ {\mathrm{NNLL}}_{{\mathcal{T}}_0}^{\prime } $$ NNLL T 0 ′ +NNLO accuracy. This is the first implementation within the Geneva Monte Carlo framework of a process with a nontrivial Born-level definition which suffers from QED singularities. Throughout the computation we use a smooth-cone isolation algorithm to remove such divergences. The higher-order resummation of the 0-jettiness resolution variable $$ {\mathcal{T}}_0 $$ T 0 is based on a factorisation formula derived within Soft-Collinear Effec

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25

Alioli, Simone, Alessandro Broggio, Alessandro Gavardi, et al. "Resummed predictions for hadronic Higgs boson decays." Journal of High Energy Physics 2021, no. 4 (2021). http://dx.doi.org/10.1007/jhep04(2021)254.

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Abstract We present the NNLL′ resummed 2-jettiness distribution for decays of the Standard Model Higgs boson to a b$$ \overline{b} $$ b ¯ -quark pair and to gluons. The calculation exploits a factorisation formula derived using Soft-Collinear Effective Theory, in which large logarithms of the 2-jettiness are resummed by renormalisation group evolution of the hard, soft and jet contributions to the differential decay rate. We match the resummed predictions to the fixed-order NNLO result using the Geneva framework, extending the validity of the results to all values of the resolution variable an

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26

Lombardi, Daniele, Marius Wiesemann та Giulia Zanderighi. "Advancing MıNNLOPS to diboson processes: Zγ production at NNLO+PS". Journal of High Energy Physics 2021, № 6 (2021). http://dx.doi.org/10.1007/jhep06(2021)095.

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Abstract We consider Zγ production in hadronic collisions and present the first computation of next-to-next-to-leading order accurate predictions consistently matched to parton showers (NNLO+PS). Spin correlations, interferences and off-shell effects are included by calculating the full process pp → ℓ+ℓ−γ. We extend the recently developed MiNNLOPS method to genuine 2 → 2 hard scattering processes at the LHC, which paves the way for NNLO+PS simulations of all diboson processes. This is the first 2 → 2 NNLO+PS calculation that does not require an a-posteriori multi-differential reweighting. We f

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27

Campbell, John, Tobias Neumann, and Zack Sullivan. "Single-top-quark production in the t-channel at NNLO." Journal of High Energy Physics 2021, no. 2 (2021). http://dx.doi.org/10.1007/jhep02(2021)040.

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Abstract We present a calculation of t-channel single-top-quark production and decay in the five-flavor scheme at NNLO. Our results resolve a disagreement between two previous calculations of this process that found a difference in the inclusive cross section at the level of the NNLO coefficient itself. We compare in detail with the previous calculations at the inclusive, differential and fiducial level including b-quark tagging at a fixed scale μ = mt. In addition, we advocate the use of double deep inelastic scattering (DDIS) scales (μ2 = Q2 for the light-quark line and μ2 = Q2 + $$ {m}_t^2

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28

Mondini, Roberto, and Ciaran Williams. "Bottom-induced contributions to Higgs plus jet at next-to-next-to-leading order." Journal of High Energy Physics 2021, no. 5 (2021). http://dx.doi.org/10.1007/jhep05(2021)045.

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Abstract We present a next-to-next-to-leading order (NNLO) QCD calculation of the bottom-induced contributions to the production of a Higgs boson plus a jet, i.e. the process pp → H + j to $$ \mathcal{O}\left({y}_b^2{\alpha}_s^3\right) $$ O y b 2 α s 3 . We work in the five-flavor scheme (5FS) in which the bottom quark mass is retained only in the coupling to the Higgs boson. Our calculation uses N-jettiness slicing to regulate infrared divergences, allowing for fully-differential predictions for collider observables. After extensively validating the methodology, we present results for the 13

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29

Gehrmann, T., E. W. N. Glover, and M. Marcoli. "The colourful antenna subtraction method." Journal of High Energy Physics 2024, no. 3 (2024). http://dx.doi.org/10.1007/jhep03(2024)114.

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Abstract We present a general subtraction scheme for NNLO calculations in massless QCD: the colourful antenna subtraction method. It is a reformulation of the antenna subtraction approach designed to address some of the limitations of the traditional framework, especially aiming at high-multiplicity processes. In the context of the new formalism, structures needed to locally subtract the infrared-divergent behaviour of real emission corrections are systematically inferred from virtual subtraction terms, relying on the cancellation of infrared singularities and on the correspondence between int

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30

Gavardi, Alessandro, Matthew A. Lim, Simone Alioli, and Frank J. Tackmann. "NNLO+PS W+W− production using jet veto resummation at NNLL′." Journal of High Energy Physics 2023, no. 12 (2023). http://dx.doi.org/10.1007/jhep12(2023)069.

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Abstract We construct a novel event generator for the process $$ pp\to {\ell}^{-}{\overline{\nu}}_{\ell }{\ell^{\prime}}^{+}{\nu}_{\ell^{\prime }} $$ pp → ℓ − ν ¯ ℓ ℓ ′ + ν ℓ ′ , which matches fixed-order predictions at next-to-next-to-leading order in the strong coupling to a parton shower program. The matching is achieved using the Geneva method, in this case exploiting a resummed calculation for the hardest jet transverse momentum at next-to-next-to-leading logarithmic accuracy obtained via soft-collinear effective theory and implemented in the C++ library SCETlib. This choice of resolution

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31

Bell, Guido, Kevin Brune, Goutam Das, Ding Yu Shao, and Marcel Wald. "The NNLO gluon beam function for jet-veto resummation." Journal of High Energy Physics 2024, no. 7 (2024). http://dx.doi.org/10.1007/jhep07(2024)014.

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Abstract We compute the gluon beam function for jet-veto resummation to next-to-next-to-leading order (NNLO) in the strong-coupling expansion. Our calculation is based on an automated framework that was previously used for the computation of the respective quark beam function, and which we significantly extended for the present calculation. In particular, the perturbative matching kernels are directly calculated in momentum space, without the need to perform an additional Mellin transform. We present results for both gluon and quark-initiated processes, which we cross-checked with an independe

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32

Alioli, Simone, Georgios Billis, Alessandro Broggio, et al. "Refining the GENEVA method for Higgs boson production via gluon fusion." Journal of High Energy Physics 2023, no. 5 (2023). http://dx.doi.org/10.1007/jhep05(2023)128.

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Abstract We describe a number of improvements to the Geneva method for matching NNLO calculations to parton shower programs. In particular, we detail changes to the resummed calculation used in the matching procedure, including disentangling the cross section dependence on factorisation and beam scales, and an improved treatment of timelike logarithms. We also discuss modifications in the implementation of the splitting functions which serve to make the resummed calculation differential in the higher multiplicity phase space. These changes improve the stability of the numerical cancellation of

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33

Biello, Christian, Javier Mazzitelli, Aparna Sankar, Marius Wiesemann, and Giulia Zanderighi. "Higgs boson production in association with massive bottom quarks at NNLO+PS." Journal of High Energy Physics 2025, no. 4 (2025). https://doi.org/10.1007/jhep04(2025)088.

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Abstract We study the production of a Higgs boson in association with a bottom-quark pair $$ \left(b\overline{b}H\right) $$ b b ¯ H at hadron colliders. Our calculation is performed in the four-flavour scheme with massive bottom quarks. This work presents the first computation of next-to-next-to-leading-order (NNLO) QCD corrections to this process, and we combine them with all-order radiative corrections from a parton shower simulation (NNLO+PS). The calculation is exact, except for the two-loop amplitude, which is evaluated in the small quark mass expansion, which is an excellent approximatio

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34

Bell, Guido, Kevin Brune, Goutam Das, and Marcel Wald. "The NNLO quark beam function for jet-veto resummation." Journal of High Energy Physics 2023, no. 1 (2023). http://dx.doi.org/10.1007/jhep01(2023)083.

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Abstract We consider the quark beam function that describes collinear initial-state radiation that is constrained by a veto on reconstructed jets. As the veto is imposed on the transverse momenta of the jets, the beam function is subject to rapidity divergences, and we use the collinear-anomaly framework to extract the perturbative matching kernels to next-to-next-to-leading order (NNLO) in the strong-coupling expansion. Our calculation is based on a novel framework that automates the computation of beam functions in Mellin space and it provides the ingredients to extend jet-veto resummations

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35

Broggio, A., T. Engel, A. Ferroglia, et al. "Muon-electron scattering at NNLO." Journal of High Energy Physics 2023, no. 1 (2023). http://dx.doi.org/10.1007/jhep01(2023)112.

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Abstract We present the first calculation of the complete set of NNLO QED corrections for muon-electron scattering. This includes leptonic, non-perturbative hadronic, and photonic contributions. All fermionic corrections as well as the photonic subset that only corrects the electron or the muon line are included with full mass dependence. The genuine four-point two-loop topologies are computed as an expansion in the small electron mass, taking into account both, logarithmically enhanced as well as constant mass effects using massification. A fast and stable implementation of the numerically de

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36

Lombardi, Daniele, Marius Wiesemann, and Giulia Zanderighi. "W+W− production at NNLO+PS with MINNLOPS." Journal of High Energy Physics 2021, no. 11 (2021). http://dx.doi.org/10.1007/jhep11(2021)230.

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Abstract We consider W+W− production in hadronic collisions and present the computation of next-to-next-to-leading order accurate predictions consistently matched to parton showers (NNLO+PS) using the MiNNLOPS method. Spin correlations, interferences and off-shell effects are included by calculating the full process pp → e+νeμ−$$ \overline{\nu} $$ ν ¯ μ. This is the first NNLO+PS calculation for W+W− production that does not require an a-posteriori multi-differential reweighting. The evaluation time of the two-loop contribution has been reduced by more than one order of magnitude through a fou

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37

Poncelet, Rene, and Andrei Popescu. "NNLO QCD study of polarised W+W− production at the LHC." Journal of High Energy Physics 2021, no. 7 (2021). http://dx.doi.org/10.1007/jhep07(2021)023.

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Abstract Longitudinal polarisation of the weak bosons is a direct consequence of Electroweak symmetry breaking mechanism providing an insight into its nature, and is instrumental in searches for physics beyond the Standard Model. We perform a polarisation study of the diboson production in the pp →$$ {\mathrm{e}}^{+}{v}_{\mathrm{e}}{\mu}^{-}{\overline{v}}_{\mu } $$ e + v e μ − v ¯ μ process at NNLO QCD in the fiducial setup inspired by experimental measurements at ATLAS. This is the first polarisation study at NNLO. We employ the double-pole approximation framework for the polarised calculatio

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38

Bell, Guido, Bahman Dehnadi, Tobias Mohrmann, and Rudi Rahn. "The NNLO soft function for N-jettiness in hadronic collisions." Journal of High Energy Physics 2024, no. 7 (2024). http://dx.doi.org/10.1007/jhep07(2024)077.

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Abstract We compute the N-jettiness soft function in hadronic collisions to next-to-next-to-leading order (NNLO) in the strong-coupling expansion. Our calculation is based on an extension of the SoftSERVE framework to soft functions that involve an arbitrary number of lightlike Wilson lines. We present numerical results for 1-jettiness and 2-jettiness, and illustrate that our formalism carries over to a generic number of jets by calculating a few benchmark points for 3-jettiness. We also perform a detailed analytic study of the asymptotic behaviour of the soft-function coefficients at the edge

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39

Fox, Elliot, Nigel Glover, and Matteo Marcoli. "Generalised antenna functions for higher-order calculations." Journal of High Energy Physics 2024, no. 12 (2024). https://doi.org/10.1007/jhep12(2024)225.

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Abstract In this paper we discuss the definition, the construction and the implementation of generalised antenna functions for final-state radiation up to Next-to-Next-to-Leading Order (NNLO) in QCD. Generalised antenna functions encapsulate the singular behaviour of unresolved emissions when these occur within multiple hard radiators and not just two of them, as for traditional antenna functions. The construction of such objects is possible thanks to the recently proposed algorithm for building idealised antenna functions from a target set of infrared limits. Generalised antenna functions bri

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40

Chen, X., T. Gehrmann, E. W. N. Glover, and J. Mo. "Antenna subtraction for jet production observables in full colour at NNLO." Journal of High Energy Physics 2022, no. 10 (2022). http://dx.doi.org/10.1007/jhep10(2022)040.

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Abstract We describe the details of the calculation of the full colour NNLO QCD corrections to jet production observables at the LHC with antenna subtraction. All relevant matrix elements for the process pp → jj at NNLO in full colour are colour-decomposed and given in a Nc and nf expansion, making identification of leading and subleading colour contributions transparent. The colour-ordered antenna subtraction method has previously successfully been used to construct the NNLO subtraction terms for processes with up to five partons or in the leading colour approximation. However, it is challeng

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41

Sotnikov, Vasily. "Double Virtual Contributions for Massless 2 -> 3 Scattering in NNLO QCD." SciPost Physics Proceedings, no. 7 (June 20, 2022). http://dx.doi.org/10.21468/scipostphysproc.7.002.

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We review the recent advances in the calculation of two-loop QCD corrections for massless five-point scattering that paved the way for their broad phenomenological applications in calculation of NNLO QCD predictions. We first discuss the construction of a transcendental function basis which facilitates derivation of compact analytic representations for two-loop amplitudes and enables their fast and stable numerical evaluation over physical phase space. We then present the recent calculations of the leading-color two-loop corrections for hadroproduction of three photons and three jets.

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42

Bell, Guido, Kevin Brune, Goutam Das, and Marcel Wald. "NNLO beam functions for angularity distributions." Journal of High Energy Physics 2025, no. 3 (2025). https://doi.org/10.1007/jhep03(2025)088.

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Abstract The popular class of angularity event shapes provides a wealth of information on the hadronic final-state distribution in collider events. While initially proposed for e + e − collisions, angularities have more recently attracted considerable interest as a jet substructure observable at hadron colliders. Moreover, angularities can be measured as a global event shape in deep inelastic electron-nucleon scattering (DIS), and the respective factorisation theorem contains a beam function that parametrises the collinear initial-state radiation. In the present work, we compute the quark and

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Czakon, Michał, Terry Generet, Alexander Mitov, and Rene Poncelet. "B-hadron production in NNLO QCD: application to LHC t$$ \overline{t} $$ events with leptonic decays." Journal of High Energy Physics 2021, no. 10 (2021). http://dx.doi.org/10.1007/jhep10(2021)216.

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Abstract We calculate, for the first time, the NNLO QCD corrections to identified heavy hadron production at hadron colliders. The calculation is based on a flexible numeric framework which allows the calculation of any distribution of a single identified heavy hadron plus jets and non-QCD particles. As a first application we provide NNLO QCD predictions for several differential distributions of B hadrons in t$$ \overline{t} $$ t ¯ events at the LHC. Among others, these predictions are needed for the precise determination of the top quark mass. The extension of our results to other processes,

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Chawdhry, Herschel A., Michał Czakon, Alexander Mitov, and Rene Poncelet. "NNLO QCD corrections to diphoton production with an additional jet at the LHC." Journal of High Energy Physics 2021, no. 9 (2021). http://dx.doi.org/10.1007/jhep09(2021)093.

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Abstract We calculate the NNLO QCD corrections to diphoton production with an additional jet at the LHC. Our calculation represents the first NNLO-accurate prediction for the transverse momentum distribution of the diphoton system. The improvement in the accuracy of the theoretical prediction is significant, by a factor of up to four relative to NLO QCD as estimated through scale variations. Our calculation is exact except for the finite remainder of the two-loop amplitude which is included at leading color. The numerical impact of this approximated contribution is small. The results of this w

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Isaacson, Joshua, Yao Fu, and C. P. Yuan. "Improving resbos for the precision needs of the LHC." Physical Review D 110, no. 7 (2024). http://dx.doi.org/10.1103/physrevd.110.073002.

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The resummation calculation (esos) is a widely used tool for the simulation of single vector boson production at colliders. In this work, we develop a significant improvement over the esos code by increasing the accuracy from NNLL+NLO to N3LL+NNLO and release the esos v2.0 code. Furthermore, we propose a new nonperturbative function that includes information about the rapidity of the system (IFY). The IFY functional form was fitted to data from fixed target experiments, the Tevatron, and the LHC. We find that the nonperturbative function has mild rapidity dependence based on the results of the

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Alvarez, Manuel, Josu Cantero, Michal Czakon, Javier Llorente, Alexander Mitov, and Rene Poncelet. "NNLO QCD corrections to event shapes at the LHC." Journal of High Energy Physics 2023, no. 3 (2023). http://dx.doi.org/10.1007/jhep03(2023)129.

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Abstract In this work we perform the first ever calculation of jet event shapes at hadron colliders at next-to-next-to leading order (NNLO) in QCD. The inclusion of higher order corrections removes the shape difference observed between data and next-to-leading order predictions. The theory uncertainty at NNLO is comparable to, or slightly larger than, existing measurements. Except for narrow kinematical ranges where all-order resummation becomes important, the NNLO predictions for the event shapes considered in the present work are reliable. As a prime application of the results derived in thi

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Ji, Xiangdong, Yizhuang Liu, and Yushan Su. "Threshold resummation for computing large-x parton distribution through large-momentum effective theory." Journal of High Energy Physics 2023, no. 8 (2023). http://dx.doi.org/10.1007/jhep08(2023)037.

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Abstract Parton distribution functions (PDFs) at large x are poorly constrained by high-energy experimental data, but extremely important for probing physics beyond standard model at colliders. We study the calculation of PDFs at large-x through large-momentum Pz expansion of the lattice quasi PDFs. Similar to deep-inelastic scattering, there are two distinct perturbative scales in the threshold limit where the matching coefficient can be factorized into a space-like jet function at scale Pz|1 − y| and a pair of heavy-light Sudakov form factors at scale Pz. The matching formula allows us to de

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Engel, T., F. Hagelstein, M. Rocco, V. Sharkovska, A. Signer, and Y. Ulrich. "Impact of NNLO QED corrections on lepton-proton scattering at MUSE." European Physical Journal A 59, no. 11 (2023). http://dx.doi.org/10.1140/epja/s10050-023-01153-x.

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AbstractWe present the complete next-to-next-to-leading order (NNLO) pure pointlike QED corrections to lepton-proton scattering, including three-photon-exchange contributions, and investigate their impact in the case of the MUSE experiment. These corrections are computed with no approximation regarding the energy of the emitted photons and taking into account lepton-mass effects. We contrast the NNLO QED corrections to known next-to-leading order corrections, where we include the elastic two-photon exchange (TPE) through a simple hadronic model calculation with a dipole ansatz for the proton e

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Becker, Kathrin, Fabrizio Caola, Andrea Massironi, et al. "Precise predictions for boosted Higgs production." SciPost Physics Core 7, no. 1 (2024). http://dx.doi.org/10.21468/scipostphyscore.7.1.001.

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Inclusive Higgs boson production at large transverse momentum is induced by different production channels. We focus on the leading production mechanism through gluon fusion, and perform a consistent combination of the state of the art calculations obtained in the infinite-top-mass effective theory at next-to-next-to-leading order (NNLO) and in the full Standard Model (SM) at next-to-leading order (NLO). We thus present approximate QCD predictions for this process at NNLO, and a study of the corresponding perturbative uncertainties. This calculation is then compared with those obtained with com

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Catani, Stefano, Simone Devoto, Massimiliano Grazzini, Stefan Kallweit, and Javier Mazzitelli. "Bottom-quark production at hadron colliders: fully differential predictions in NNLO QCD." Journal of High Energy Physics 2021, no. 3 (2021). http://dx.doi.org/10.1007/jhep03(2021)029.

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Abstract We report on the first fully differential calculation of the next-to-next-to-leading-order (NNLO) QCD radiative corrections to the production of bottom-quark pairs at hadron colliders. The calculation is performed by using the qT subtraction formalism to handle and cancel infrared singularities in real and virtual contributions. The computation is implemented in the Matrix framework, thereby allowing us to efficiently compute arbitrary infrared-safe observables in the four-flavour scheme. We present selected predictions for bottom-quark production at the Tevatron and at the LHC at dif

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