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Journal articles on the topic 'Renormalon'

Author: Grafiati

Published: 9 March 2023

Last updated: 10 March 2023

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1

LOEWE, M., and C. VALENZUELA. "THERMAL RENORMALONS IN SCALAR FIELD THEORY." Modern Physics Letters A 15, no. 18 (June 14, 2000): 1181–90. http://dx.doi.org/10.1142/s0217732300001481.

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In the framework of the scalar theory gϕ4, we explore the occurrence of thermal renormalons, i.e. temperature-dependent singularities in the Borel plane. The discussion of a particular renormalon type diagram at finite temperature, using Thermofield Dynamics, allows us to establish that these singularities actually get a temperature dependence. This dependence appears in the residues of the poles, the positions of the poles remain unchanged with temperature.

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2

Benitez-Rathgeb, Miguel A., Diogo Boito, André H. Hoang, and Matthias Jamin. "Reconciling the FOPT and CIPT Predictions for τ Hadronic Spectral Function Moments." EPJ Web of Conferences 274 (2022): 06005. http://dx.doi.org/10.1051/epjconf/202227406005.

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Recently it has been clarified by Hoang and Regner that the longstanding discrepancy between the CIPT and FOPT expansion approaches in αs determinations from the τ hadronic spectral function moments has been caused by an inconsistency of CIPT with the standard OPE approach. This inconsistency arises in the presence of IR renormalons in the underlying Adler function and is numerically dominated by the dimension-4 gluon condensate renormalon. In this talk we report on an approach to reconcile the CIPT based on a perturbative definition of a renormalon-free and scale-invariant gluon condensate scheme, called RF GC scheme. The scheme implies perturbative subtractions which eliminate the CIPT inconsistency for all practical applications of the τ hadronic spectral function moments. The scheme depends on the gluon condensate renormalon norm Ng as an independent input and on an IR subtraction scale R. We discuss three different approaches to determine Ng which yield consistent results and we apply the RF GC scheme in two full-fledged phenomenological αs determinations based on the truncated OPE and the duality violation model approach. In the RF GC scheme the long-standing CIPT-FOPT discrepancy problem is gone and the CIPT and FOPT αs determinations can be consistently combined.

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3

LEE, TAEKOON. "THE NATURE OF POWER CORRECTIONS IN LARGE-β0 APPROXIMATION." Modern Physics Letters A 19, no. 31 (October 10, 2004): 2371–76. http://dx.doi.org/10.1142/s0217732304015300.

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We investigate the nature of power corrections and infrared renormalon singularities in large-β0 approximation. We argue that the power correction associated with a renormalon pole singularity should appear at O(1), in contrast to the renormalon ambiguity appearing at O(1/β0), and give an explanation why the leading order renormalon singularities are generically poles.

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4

Takaura, Hiromasa. "Determination of HQET nonperturbative matrix elements with renormalon subtraction using Fourier transform." EPJ Web of Conferences 274 (2022): 03003. http://dx.doi.org/10.1051/epjconf/202227403003.

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As higher order perturbative series are available, it is becoming necessary to include nonperturbative effects in QCD calculations using the OPE. In order to systematically determine nonperturbative effects and to incorporate them into theoretical calculations, the renormalon problem should be resolved. We use a renormalon subtraction method utilizing Fourier transform to determine nonperturbative matrix elements of HQET, ⊼ and μ2π. This is the first determination performed with subtraction of the u = 1 renormalon.

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5

Vainshtein, A. I., and V. I. Zakharov. "Ultraviolet renormalon reexamined." Physical Review D 54, no. 6 (September 15, 1996): 4039–48. http://dx.doi.org/10.1103/physrevd.54.4039.

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6

Martinelli, Guido, Matthias Neubert, and Chris T. Sachrajda. "The invisible renormalon." Nuclear Physics B 461, no. 1-2 (February 1996): 238–58. http://dx.doi.org/10.1016/0550-3213(95)00613-3.

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7

Vainshtein, A. I., and V. I. Zakharov. "Ultraviolet-Renormalon Calculus." Physical Review Letters 73, no. 9 (August 29, 1994): 1207–10. http://dx.doi.org/10.1103/physrevlett.73.1207.

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8

Vainshtein, A. I., and V. I. Zakharov. "Ultraviolet-Renormalon Calculus." Physical Review Letters 75, no. 19 (November 6, 1995): 3588. http://dx.doi.org/10.1103/physrevlett.75.3588.

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9

Gambino, Paolo, and Alberto Sirlin. "Renormalon contributions to Δϱ." Physics Letters B 355, no. 1-2 (July 1995): 295–300. http://dx.doi.org/10.1016/0370-2693(95)00741-3.

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10

DI CECIO, G., and G. PAFFUTI. "SOME PROPERTIES OF RENORMALONS IN GAUGE THEORIES." International Journal of Modern Physics A 10, no. 10 (April 20, 1995): 1449–63. http://dx.doi.org/10.1142/s0217751x95000693.

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We find the explicit operatorial form of renormalon type singularities in Abelian gauge theory. Local operators of dimension six take care of the first UV renormalon; nonlocal operators are needed for IR singularities. In the effective Lagrangian constructed with these operators nonlocal imaginary parts appearing in the usual perturbative expansion at large orders are canceled.

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11

SUZUKI, HIROSHI. "RENORMALON'S CONTRIBUTION TO EFFECTIVE COUPLINGS." Modern Physics Letters A 13, no. 31 (October 10, 1998): 2551–58. http://dx.doi.org/10.1142/s0217732398002710.

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When an asymptotically non-free theory possesses a mass parameter independent of the Λ parameter, the uv renormalon gives rise to nonperturbative contributions, to dimension-four operators and dimensionless couplings, thus has a "dual" effect of the instanton. We illustrate this phenomenon in O(N) symmetric massive λϕ4 model in the 1/N expansion. This effect of uv renormalon is briefly compared with nonperturbative corrections in the magnetic picture of the Seiberg–Witten theory.

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12

Akhoury, R., and V. I. Zakharov. "Physics of the ultraviolet renormalon." Nuclear Physics B - Proceedings Supplements 64, no. 1-3 (May 1998): 350–55. http://dx.doi.org/10.1016/s0920-5632(97)01087-6.

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13

KATAEV, A. L. "DEEP INELASTIC SUM RULES AT THE BOUNDARIES BETWEEN PERTURBATIVE AND NONPERTURBATIVE QCD." Modern Physics Letters A 20, no. 27 (September 7, 2005): 2007–22. http://dx.doi.org/10.1142/s0217732305018165.

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The basis of renormalon calculus is briefly discussed. This method is applied to study the QCD predictions for three different sum rules of deep-inelastic scattering, namely for the Gross–Llewellyn Smith, Bjorken polarized and unpolarized sum rules. It is shown that the renormalon structures of these a posteriori different physical quantities are closely related. These properties give us the hint that theoretical expressions of these three sum rules are similar both in the perturbative and nonperturbative sectors. Some phenomenological consequences of the new relations are discussed.

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14

Cvetič, Gorazd. "Renormalon-based resummation for QCD observables." Nuclear and Particle Physics Proceedings 309-311 (January 2020): 87–92. http://dx.doi.org/10.1016/j.nuclphysbps.2019.11.015.

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15

Contreras, C., G. Cvetič, and P. Gaete. "Bottonium mass — Evaluation using renormalon cancellation." Nuclear Physics B - Proceedings Supplements 152, no. 1 (February 2006): 140–43. http://dx.doi.org/10.1016/j.nuclphysbps.2005.08.026.

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16

Faleev, S. V., and P. G. Silvestrov. "High order corrections to the renormalon." Nuclear Physics B 507, no. 1-2 (December 1997): 379–95. http://dx.doi.org/10.1016/s0550-3213(97)00565-8.

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17

Beneke, M., and V. I. Zakharov. "The first infrared renormalon in QED." Physics Letters B 312, no. 3 (August 1993): 340–44. http://dx.doi.org/10.1016/0370-2693(93)91090-a.

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18

Duncan, A., and S. Pernice. "Nonperturbative renormalon structure of infrared unstable theories." Physical Review D 51, no. 4 (February 15, 1995): 1956–67. http://dx.doi.org/10.1103/physrevd.51.1956.

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19

Webber, B. R. "Renormalon phenomena in jets and hard processes." Nuclear Physics B - Proceedings Supplements 71, no. 1-3 (March 1999): 66–75. http://dx.doi.org/10.1016/s0920-5632(98)00325-9.

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20

VERBAARSCHOT, J. J. M., and P. WEST. "RENORMALONS IN SUPERSYMMETRIC THEORIES." International Journal of Modern Physics A 06, no. 13 (May 30, 1991): 2361–74. http://dx.doi.org/10.1142/s0217751x91001167.

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Supersymmetric theories are shown to possess singularities of the renormalon type unless the theories are finite. However, the Landau pole found in λϕ4 and QED is replaced by a cut singularity. It is argued that the Wess-Zumino model is trivial.

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21

Kiselev, V. V. "A Gluon Condensate Term in a Heavy Quark Mass." Modern Physics Letters A 18, no. 25 (August 20, 2003): 1735–41. http://dx.doi.org/10.1142/s0217732303011496.

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We investigate a connection between a renormalon ambiguity of heavy quark mass and the gluon condensate contribution into the quark dispersion law related to a virtuality defining a displacement of the heavy quark from the perturbative mass-shell, which happens inside a hadron.

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22

CVETIČ, G., and JI-YOUNG YU. "NONPERTURBATIVE DISPERSIVE SECTOR IN STRONG (QUASI-)ABELIAN FIELDS." International Journal of Modern Physics A 16, no. 01 (January 10, 2001): 57–82. http://dx.doi.org/10.1142/s0217751x01002853.

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In strong (quasi-)Abelian fields, even at the one-loop level of the coupling constant, quantum fluctuations of fermions induce an effective Lagrangian density whose imaginary (absorptive) part is purely nonperturbative and known to be responsible for the fermion–antifermion pair creation. On the other hand, the induced real (dispersive) part has perturbative and nonperturbative contributions. In the one-loop case, we argue how to separate the two contributions from each other for any strength of the field. We show numerically that the nonperturbative contributions are in general comparable with or larger than the induced perturbative ones. We arrive at qualitatively similar conclusions also for the induced energy density. Further, we investigate numerically the quasianalytic continuation of the perturbative results into the nonperturbative sector, by employing (modified) Borel–Padé. It turns out that in the case at hand, we have to integrate over renormalon singularities, but there is no renormalon ambiguity involved.

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23

Hayashi, Y., Y. Sumino, and H. Takaura. "New method for renormalon subtraction using Fourier transform." Physics Letters B 819 (August 2021): 136414. http://dx.doi.org/10.1016/j.physletb.2021.136414.

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24

Penin, A. A., and A. A. Pivovarov. "Numerical analysis of renormalon technique in quantum mechanics." Physics Letters B 401, no. 3-4 (May 1997): 294–300. http://dx.doi.org/10.1016/s0370-2693(97)00383-3.

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25

Lovett-Turner, C. N., and C. J. Maxwell. "All-orders renormalon resummations for some QCD observablest." Nuclear Physics B 452, no. 1-2 (October 1995): 188–212. http://dx.doi.org/10.1016/0550-3213(95)00383-4.

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26

Kataev, A. L., and V. S. Molokoedov. "On the relation between pole and running heavy quark masses beyond the four-loop approximation." EPJ Web of Conferences 191 (2018): 04005. http://dx.doi.org/10.1051/epjconf/201819104005.

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The effective charges motivated method is applied to the relation between pole and M̅S̅-scheme heavy quark masses to study high order perturbative QCD corrections in the observable quantities proportional to the running quark masses. The non-calculated five- and six-loop perturbative QCD coefficients are estimated. This approach predicts for these terms the sign-alternating expansion in powers of number of lighter flavors nl, while the analyzed recently infrared renormalon asymptotic expressions do not reproduce the same behavior. We emphasize that coefficients of the quark mass relation contain proportional to π2 effects, which result from analytical continuation from the Euclidean region, where the scales of the running masses and QCD coupling constant are initially fixed, to the Minkowskian region, where the pole masses and the running QCD parameters are determined. For the t-quark the asymptotic nature of the non-resummed PT mass relation does not manifest itself at six-loops, while for the b-quark the minimal PT term appears at the probed by direct calculations four-loop level. The recent infrared renormalon based studies support these conclusions.

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27

Lee, Taekoon. "Flavor dependence of normalization constant for an infrared renormalon." Physics Letters B 742 (March 2015): 327–29. http://dx.doi.org/10.1016/j.physletb.2015.02.002.

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28

Vasim, Nahid, and Raktim Abir. "Infrared renormalon contributions in gluon TMD at small-x." Nuclear Physics B 953 (April 2020): 114961. http://dx.doi.org/10.1016/j.nuclphysb.2020.114961.

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29

Gardi, Einan, and Georges Grunberg. "Power corrections and renormalon resummation for the average thrust." Nuclear Physics B - Proceedings Supplements 86, no. 1-3 (June 2000): 426–29. http://dx.doi.org/10.1016/s0920-5632(00)00599-5.

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30

Stein, E., M. Meyer-Hermann, L. Mankiewicz, and A. Schäfer. "IR-renormalon contribution to the longitudinal structure function FL." Physics Letters B 376, no. 1-3 (May 1996): 177–85. http://dx.doi.org/10.1016/0370-2693(96)00275-4.

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31

Meyer-Hermann, M., M. Maul, L. Mankiewicz, E. Stein, and A. Schäfer. "IR-renormalon contribution to the polarized structure function g1." Physics Letters B 383, no. 4 (September 1996): 463–69. http://dx.doi.org/10.1016/0370-2693(96)00771-x.

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32

Grunberg, G. "Conjectured solution to the Landau ghost and renormalon problems." Nuclear Physics B - Proceedings Supplements 39, no. 2-3 (March 1995): 303–5. http://dx.doi.org/10.1016/0920-5632(95)00091-m.

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33

Maxwell, C. J., and D. G. Tonge. "RS-invariant all-orders renormalon resummations for some QCD observables." Nuclear Physics B 481, no. 3 (December 1996): 681–703. http://dx.doi.org/10.1016/s0550-3213(96)00532-9.

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34

Mikhailov, S. V. "Renormalon chain contributions to non-singlet evolution kernels in QCD." Physics Letters B 431, no. 3-4 (July 1998): 387–94. http://dx.doi.org/10.1016/s0370-2693(98)00585-1.

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35

Neubert, Matthias, and Chris T. Sachrajda. "Cancellation of renormalon ambiguities in the heavy quark effective theory." Nuclear Physics B 438, no. 1-2 (March 1995): 235–60. http://dx.doi.org/10.1016/0550-3213(95)00032-n.

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36

Takaura, H., T. Kaneko, Y. Kiyo, and Y. Sumino. "Determination of α from static QCD potential with renormalon subtraction." Physics Letters B 789 (February 2019): 598–602. http://dx.doi.org/10.1016/j.physletb.2018.12.060.

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37

Kiyo, Y., and Y. Sumino. "quarkonium 1S spectrum in large-β0 approximation and renormalon cancellation." Physics Letters B 496, no. 1-2 (December 2000): 83–88. http://dx.doi.org/10.1016/s0370-2693(00)01282-x.

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38

Grunberg, G. "A proposal to solve the Landau ghost and renormalon problems." Physics Letters B 349, no. 4 (April 1995): 469–76. http://dx.doi.org/10.1016/0370-2693(95)00263-k.

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39

Ayala, César, Gorazd Cvetič, and Diego Teca. "Determination of α_s value from tau decays with a renormalon-motivated approach." EPJ Web of Conferences 274 (2022): 03007. http://dx.doi.org/10.1051/epjconf/202227403007.

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We apply Borel-Laplace sum rules to the data of the semihadronic tau decay rate. For the higher order terms of the Adler function in the leadingtwist (D = 0) contribution we use a renormalon-motivated model, where the correct leading anomalous dimensions are taken into account in the IR u = 3 (and u = 2) renormalon contributions. In the evaluation of D = 0 contribution of the sum rules we apply two methods: (a) fixed order perturbation theory (FO) and (b) Borel resummation of the singular part with the Principal Value prescription (PV). We use as data the ALEPH data for the (V+A)-channel, and a combined set of data for the V-channel. In the D = 6 OPE term of the Adler function we account for the leading nonzero (and noninteger) anomalous dimension. In the OPE for the Adler function we include terms with dimension up to D = 10 for the (V+A)-channel, and up to D = 14 for the V-channel. In such cases, the extracted values of the coupling αs and of the condensates show a reasonably good convergence under the increase of OPE terms. In order to suppress the quark-hadron duality violations, our sum rules are doubly-pinched in the Minkowskian point. We obtain the averaged extracted values of the coupling αs(m2τ) = 0.3169+0.0070-0.0096, corresponding to αs(M2Z) = 0.1183+0.0009-0.0012.

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40

Ahmadov, A. I., C. Aydin, R. Myrzakulov, and O. Uzun. "Higher-twist mechanism and inclusive gluon production in pion–proton collisions." International Journal of Modern Physics A 30, no. 36 (December 30, 2015): 1550217. http://dx.doi.org/10.1142/s0217751x1550219x.

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We calculate the contribution of the higher-twist Feynman diagrams to the large-[Formula: see text] inclusive gluon production cross-section in [Formula: see text] collisions in case of the running coupling and frozen coupling approaches within perturbative and holographic QCD. The structure of infrared renormalon singularities of the higher-twist subprocess cross-section is obtained and the resummed higher-twist cross-sections (Borel sum) with the ones obtained in the framework of the frozen coupling approach and leading-twist cross-section are compared and analyzed.

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41

Kataev, A. L. "Constraints on nonsinglet polarized parton densities from the infrared-renormalon model." Journal of Experimental and Theoretical Physics Letters 77, no. 9 (May 2003): 458–60. http://dx.doi.org/10.1134/1.1591968.

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42

Neubert, Matthias. "Exploring the invisible renormalon: Renormalization of the heavy-quark kinetic energy." Physics Letters B 393, no. 1-2 (February 1997): 110–18. http://dx.doi.org/10.1016/s0370-2693(96)01600-0.

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43

Belitsky, A. V., and A. Schäfer. "Higher orders and infrared renormalon phenomenology in deeply virtual Compton scattering." Nuclear Physics B 527, no. 1-2 (August 1998): 235–63. http://dx.doi.org/10.1016/s0550-3213(98)00308-3.

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44

Andersen, Jeppe R. "Renormalon model of twist-4 corrections to the pion distribution amplitude." Physics Letters B 475, no. 1-2 (February 2000): 141–46. http://dx.doi.org/10.1016/s0370-2693(00)00052-6.

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45

Meyer-Hermann, M., and A. Schäfer. "The renormalon contribution to the current product j μ5 j S." European Physical Journal A 5, no. 1 (May 1999): 91–95. http://dx.doi.org/10.1007/s100500050261.

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46

MAMEDOVA, YEGANA V. "INFRARED RENORMALON EFFECTS ON LIGHT MESONS ELECTROMAGNETIC TRANSITION FORM FACTOR FMγ*(Q2, ω)." International Journal of Modern Physics A 18, no. 07 (March 20, 2003): 1023–50. http://dx.doi.org/10.1142/s0217751x03013806.

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The light pseudoscalar π0, η and η′ mesons electromagnetic transition γ* + γ* → M form factors FMγ*(Q2,ω) are calculated, applying the perturbative QCD factorization formula and the frozen coupling constant approximation. In the computations the O(αS) order expression for FMγ*(Q2,ω) and the mesons' infrared renormalon corrected distribution amplitudes are used. In the case of the η and η′ mesons, the SUf(3) ordinary octet-singlet mixing scheme is utilized. Comparisons are made with the results obtained, employing the mesons' ordinary distribution amplitudes and with γ + γ* → M transition form factors.

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47

Wang, Xiang-Peng. "QCD static force in gradient flow." EPJ Web of Conferences 274 (2022): 04009. http://dx.doi.org/10.1051/epjconf/202227404009.

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We review our recent study on the QCD static force using gradient flow at next-to-leading order in the strong coupling. The QCD static force has the advantage of being free of the O(ΛQCD) renormalon appearing in the static potential but suffers from poor convergence in the lattice QCD computations. It is expected that the gradient flow formalism can improve the convergence. Based on our next-to-leading-order calculations, we explore the properties of the static force for arbitrary flow time t, as well as in the limit t → 0, which may be useful for lattice QCD simulations.

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48

Pineda, Antonio. "The static potential: lattice versus perturbation theory in a renormalon-based approach." Journal of Physics G: Nuclear and Particle Physics 29, no. 2 (January 10, 2003): 371–85. http://dx.doi.org/10.1088/0954-3899/29/2/313.

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49

Kneur, Jean-Loic, and Damien Reynaud. "Renormalon cancellation and Borel summability of the Gross-Neveu model mass gap." Journal of High Energy Physics 2003, no. 01 (January 9, 2003): 014. http://dx.doi.org/10.1088/1126-6708/2003/01/014.

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50

Lovett-Turner, C. N., and C. J. Maxwell. "Renormalon singularities of the QCD vacuum polarization function to leading order in." Nuclear Physics B 432, no. 1-2 (December 1994): 147–62. http://dx.doi.org/10.1016/0550-3213(94)90597-5.

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