Relevant bibliographies by topics / NNLO calculation

Academic literature on the topic 'NNLO calculation'

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Published: 9 March 2023
Last updated: 10 March 2023

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Journal articles on the topic "NNLO calculation"

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FERROGLIA, ANDREA. "QCD CORRECTIONS TO THE RADIATIVE DECAY $\bar{B}\to X_s\gamma$." Modern Physics Letters A 23, no. 37 (December 7, 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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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 (March 13, 2000): 018. http://dx.doi.org/10.1088/1126-6708/2000/03/018.

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

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

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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 (November 30, 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 neutrino as the final states. We found the signal rate could be effected by ratio of 1:2.6:3.4 for LO, NLO and NNLO using the same standard H→WW→lνlν searching analysis process.6
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Santiago, J., and F. J. Ynduráin. "Calculation of electroproduction to NNLO and precision determination of αs." Nuclear Physics B 563, no. 1-2 (December 1999): 45–62. http://dx.doi.org/10.1016/s0550-3213(99)00441-1.

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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 (November 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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HARLANDER, ROBERT, and WILLIAM KILGORE. "HIGGS PRODUCTION IN GLUON FUSION TO ${\mathcal O} (\alpha^4_s)$." International Journal of Modern Physics A 16, supp01a (October 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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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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Dissertations / Theses on the topic "NNLO calculation"

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ROCCO, MARCO. "Power corrections in a transverse-momentum cut for colour-singlet production at NLO and NNLO in QCD." Doctoral thesis, Università degli Studi di Milano-Bicocca, 2021. http://hdl.handle.net/10281/301980.

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La tesi si occupa delle correzioni di potenza calcolate su un parametro-soglia di momento trasverso che interessano calcoli perturbativi di ordine superiore nella costante di accoppiamento forte. In particolare, si impone un parametro-soglia di momento trasverso, qt_cut, su uno stato finale bianco e si calcolano le correzioni di potenza sul parametro-soglia, fino alla quarta potenza, per la sezione d'urto inclusiva al primo ordine sottodominante in QCD. Inoltre, si considera lo stesso processo al secondo ordine sottodominante in QCD, limitandosi al contributo reale-virtuale, e si calcolano le correzioni di potenza per la sezione d'urto inclusiva sino alla seconda potenza sul parametro-soglia. Lo studio della dipendenza della sezione d'urto dal parametro-soglia permette di approfondire il comportamento della prima nei limiti dello spazio delle fasi, dando indizi sulla struttura a tutti gli ordini nella costante di accoppiamento forte e sull'identificazione di caratteristiche universali. La conoscenza delle correzioni di potenza è poi un ingrediente fondamentale per ridurre la dipendenza delle sezioni d'urto di QCD dal parametro-soglia quando viene applicato un metodo slicing come la sottrazione-qt. Si presentano, quindi, risultati analitici per la produzione di un bosone vettore e per la produzione di un bosone di Higgs al primo ordine sottodominante in QCD, e per la parte reale-virtuale del canale qg per la produzione di un bosone vettore al secondo ordine. Nel dettaglio, si illustra una procedura generale per il calcolo delle correzioni di potenza sul parametro-soglia. Per mostrare l'impatto numerico di tali correzioni, si presentano dei risultati numerici e si discute di come la dipendenza residuale da qt_cut interessi la sezione d'urto totale della produzione di un bosone Z o di un bosone di Higgs presso LHC. La seconda parte della tesi, complementare alla prima, è dedicata allo sviluppo di un'interfaccia tra MadGraph5_aMC@NLO e POWHEG BOX, al fine di coniugare la flessibilità di MadGraph quando genera gli elementi di matrice per processi del Modello Standard o di sue estensioni, con tutte le caratteristiche di POWHEG BOX. Tra di esse, la possibilità di generare eventi con peso positivo è fondamentale e rende POWHEG uno dei metodi più usati quando sono necessari campioni molto numerosi. Al fine di testare l'interfaccia, si studia la produzione di un bosone di spin 0 assieme a due getti, con accoppiamenti che violano CP. Si discutono delle distribuzioni che caratterizzano le proprietà del bosone e alcuni risultati ottenuti con la funzione di ripesamento di POWHEG BOX. Infine, si presentano alcune distribuzioni ottenute con il metodo MiNLO.
The thesis deals with the power corrections in a transverse-momentum cutoff that affect perturbative calculations at higher orders in the strong coupling constant. In particular, we impose a transverse-momentum cutoff, qt_cut, on a colourless final state and we compute the power corrections for the inclusive QCD next-to-leading-order cross section in the cutoff, up to the fourth power. We also consider the same production process at next-to-next-to-leading order in QCD, restricting ourselves to the real-virtual contribution, and we compute the power corrections up to the second power in the cutoff for the inclusive cross section. The study of the dependence of the cross section on qt_cut allows for an understanding of its behaviour at the boundaries of the phase space, giving hints on the structure at all orders in the strong coupling constant and on the identification of universal patterns. The knowledge of such power corrections is also a required ingredient in order to reduce the dependence on the transverse-momentum cutoff of the QCD cross sections at higher orders, when the qt-subtraction method, i.e. a slicing scheme, is applied. We present analytic results for both Drell-Yan vector-boson and Higgs-boson production in gluon fusion at next-to-leading order in QCD, and for the real-virtual part of the qg-initiated channel of vector-boson production at NNLO in QCD. In particular, we illustrate a process-independent procedure for the calculation of the all-order power corrections in the cutoff. In order to show the impact of the power-correction terms, we present selected numerical results and discuss how the residual dependence on qt_cut affects the total cross section for Drell-Yan Z production and Higgs boson production via gluon fusion at the Large Hadron Collider. A second and complementary part of the thesis is devoted to the development of an interface between MadGraph5_aMC@NLO and the POWHEG BOX framework, in order to match the flexibility of MadGraph for the generation of matrix elements for Standard-Model processes and for several of its extensions, to all features of the POWHEG BOX framework. Among those, it is essential the possibility, via the POWHEG method, to generate events with positive weights, which makes it the method of choice when large samples of events are needed. As a proof of concept, we provide a phenomenological study for the production of a spin-0 Higgs-like boson, in association with up to two jets, with CP-violating couplings. We discuss a few distributions able to characterise the spin-0 boson CP properties, and discuss a few results obtained using the POWHEG BOX reweighting feature. We also present a few distributions obtained with the MiNLO method.
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Currie, James Richard. "Antenna subtraction for NNLO calculations at the LHC." Thesis, Durham University, 2012. http://etheses.dur.ac.uk/4942/.

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In this thesis the task of computing higher order corrections to QCD scattering processes for the LHC is considered, specifically Next-to Leading Order (NLO) and Next-toNext-to Leading Order (NNLO) perturbative QCD corrections. The infrared (IR) divergent behaviour of the cross section is isolated using the antenna subtrac- tion formalism. This method has previously been used at NNLO in the calculation of jet production in the context of e+e− annihilation and for the leading colour contribution to dijet production via pure gluon scattering. The research presented in this thesis extends the formalism to include scattering processes involving quarks with initial-state partons. General formulae, including sub-leading colour contributions, are presented for the isolation and cancellation of IR and singularities when calculating the production of colourless final-states at the LHC at NLO and NNLO accuracy. The leading colour NNLO correction to the sub-process qq ̄ → gg is calculated and numerical results are presented to demonstrate the convergence of the physical cross section and the subtraction terms in the various unresolved limits. The calculations are organised with the aid of convenient quantities, referred to as integrated antenna strings. Using these quantities, the full calculation displays a clear and predictive structure, in particular at the double virtual level where the structures presented are new.
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Larsen, Kasper J. "Maximal Unitarity at Two Loops : A New Method for Computing Two-Loop Scattering Amplitudes." Doctoral thesis, Uppsala universitet, Teoretisk fysik, 2012. http://urn.kb.se/resolve?urn=urn:nbn:se:uu:diva-179203.

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The study of scattering amplitudes beyond one loop is necessary for precision phenomenology for the Large Hadron Collider and may also provide deeper insights into the theoretical foundations of quantum field theory. In this thesis we develop a new method for computing two-loop amplitudes, based on unitarity rather than Feynman diagrams. In this approach, the two-loop amplitude is first expanded in a linearly independent basis of integrals. The process dependence thereby resides in the coefficients of the integrals. These expansion coefficients are then the object of calculation. Our main results include explicit formulas for a subset of the integral coefficients, expressing them as products of tree-level amplitudes integrated over specific contours in the complex plane. We give a general selection principle for determining these contours. This principle is then applied to obtain the coefficients of integrals with the topology of a double box. We show that, for four-particle scattering, each double-box integral in the two-loop basis is associated with a uniquely defined complex contour, referred to as its master contour. We provide a classification of the solutions to setting all propagators of the general double-box integral on-shell. Depending on the number of external momenta at the vertices of the graph, these solutions are given as a chain of pointwise intersecting Riemann spheres, or a torus. This classification is needed to define master contours for amplitudes with arbitrary multiplicities. We point out that a basis of two-loop integrals with as many infrared finite elements as possible allows substantial technical simplications, in terms of obtaining the coefficients of the integrals, as well as for the analytic evaluation of the integrals themselves. We compute two such integrals at four points, obtaining remarkably compact expressions. Finally, we provide a check on a recently developed recursion relation for the all-loop integrand of the amplitudes of N=4 supersymmetric Yang-Mills theory, examining the two-loop six-gluon MHV amplitude and finding agreement. The validity of the approach to two-loop amplitudes developed in this thesis extends to all four-dimensional gauge theories, in particular QCD. The approach is suited for obtaining compact analytical expressions as well as for numerical implementations.
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Lim, Matthew Alexander. "Quantum chromodynamics and the precision phenomenology of heavy quarks." Thesis, University of Cambridge, 2019. https://www.repository.cam.ac.uk/handle/1810/285109.

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In this thesis we consider the phenomenology of the theory of strong interactions, Quantum Chromodynamics (QCD), with particular reference to the ongoing experimental program at the Large Hadron Collider in CERN. The current progress in precision measurement of Standard Model processes at the LHC experiments must be matched with corresponding precision in theoretical predictions, and to this end we present calculations at next-to-next-to-leading order in perturbation theory of observable quantities involving quarks and gluons, the strongly interacting particles of the SM. Such calculations form the most important class of corrections to observables and are vital if we are to untangle signals of New Physics from LHC data. We consider in particular the amplitudes for five parton interactions at 1- and 2-loop order and present full (in the 1-loop case) and partial (in the 2-loop case) analytic results in terms of rational functions of kinematic invariants multiplying a basis of master integrals. We address the problem of the solution of a system of integration-by-parts identities for Feynman integrals and demonstrate how some current difficulties may be overcome. We consider also the properties of the top quark, and present the NNLO, real-virtual contributions to the calculation of its decay rate. The results are presented as helicity amplitudes so that the full behaviour of the top spin is retained. These amplitudes constitute a necessary ingredient in the complete calculation of top quark pair production and decay at NNLO which will be an important theoretical input to many experimental analyses. Turning to a more phenomenological study, we consider the extraction of two important SM parameters, the top mass and the strong coupling constant, from measurements of top pair production at the ATLAS and CMS experiments. We compare with NNLO theory predictions and use a least-squares method to extract the values of the parameters simultaneously. We find best fit values of the parameters which are compatible with previous extractions performed using top data with the current world averages published by the Particle Data Group. We consider the issue of PDF choice and the circumstances in which a heavy quark can be considered a constituent of the proton. In particular, we look at the production of a Higgs boson in association with bottom quarks in four and five flavour schemes, in which the b may or may not be included in the initial state. We show that theoretical predictions in both schemes are well-motivated and appropriate in different scenarios, and moreover that results in the schemes are consistent provided a judicious choice of the renormalisation and factorisation scales is made. We suggest a typical scale choice motivated by considerations of consistency and find it to be somewhat lower than the typical hard scale of the process.
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Herren, Florian [Verfasser], and M. [Akademischer Betreuer] Steinhauser. "Precision Calculations for Higgs Boson Physics at the LHC - Four-Loop Corrections to Gluon-Fusion Processes and Higgs Boson Pair-Production at NNLO / Florian Herren ; Betreuer: M. Steinhauser." Karlsruhe : KIT-Bibliothek, 2020. http://d-nb.info/1221186914/34.

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Book chapters on the topic "NNLO calculation"

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Glover, E. W. N. "Progress in NNLO Calculations for Scattering Processes." In Hadron Collider Physics 2002, 87–94. Berlin, Heidelberg: Springer Berlin Heidelberg, 2003. http://dx.doi.org/10.1007/978-3-642-55524-4_9.

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Conference papers on the topic "NNLO calculation"

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Das, Goutam, Guido Bell, Kevin Brune, and Marcel Wald. "Automated Calculation of Beam Functions at NNLO." In Loops and Legs in Quantum Field Theory. Trieste, Italy: Sissa Medialab, 2022. http://dx.doi.org/10.22323/1.416.0026.

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Weinzierl, Stefan, Sven Moch, and Peter Uwer. "Steps towards the QCD calculation for $e^+e^- \rightarrow 3$ jets at NNLO." In International Europhysics Conference on High Energy Physics. Trieste, Italy: Sissa Medialab, 2001. http://dx.doi.org/10.22323/1.007.0004.

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Filin, Arseniy, V. Baru, E. Epelbaum, C. Hanhart, H. Krebs, and F. Myrher. "Pion production in nucleon-nucleon collisions near threshold: complete NNLO calculation in chiral EFT." In The 8th International Workshop on Chiral Dynamics. Trieste, Italy: Sissa Medialab, 2016. http://dx.doi.org/10.22323/1.253.0099.

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Kardos, Adam, Gabor Somogyi, and Zoltan Tulipant. "NNLO QCD calculations with CoLoRFulNNLO." In 13th International Symposium on Radiative Corrections (Applications of Quantum Field Theory to Phenomenology). Trieste, Italy: Sissa Medialab, 2018. http://dx.doi.org/10.22323/1.290.0018.

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Klasen, Michael. "Status Report of NNLO QCD Calculations." In DEEP INELASTIC SCATTERING: 13th International Workshop on Deep Inelastic Scattering; DIS 2005. AIP, 2005. http://dx.doi.org/10.1063/1.2122129.

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Röntsch, Raoul. "Nested soft-collinear subtractions for NNLO calculations." In 13th International Symposium on Radiative Corrections (Applications of Quantum Field Theory to Phenomenology). Trieste, Italy: Sissa Medialab, 2018. http://dx.doi.org/10.22323/1.290.0031.

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Pelliccioli, Giovanni. "Local analytic sector subtraction for NNLO QCD calculations." In XXVII International Workshop on Deep-Inelastic Scattering and Related Subjects. Trieste, Italy: Sissa Medialab, 2019. http://dx.doi.org/10.22323/1.352.0130.

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Wormald, J., M. Zerkle, and J. Holmes. "Comparative Critical Mass Calculations for NNL and ENDF/B-VIII.0 Zirconium Hydride Thermal Scattering Laws [Slides]." In International Conference on Physics of Reactors 2022 (PHYSOR 2022), Pittsburgh, PA (United States), 15-20 May 2022. US DOE, 2022. http://dx.doi.org/10.2172/1886330.

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You might also be interested in the extended bibliographies on the topic 'NNLO calculation' for particular source types:
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