Abstract
We begin a systematic investigation of the anomalous dimension of subleading power N-jet operators in view of resummation of logarithmically enhanced terms in partonic cross sections beyond leading power. We provide an explicit result at the one-loop order for fermion-number two N-jet operators at the second order in the power expansion parameter of soft-collinear effective theory.
Article PDF
Similar content being viewed by others
Avoid common mistakes on your manuscript.
References
S. Catani, The Singular behavior of QCD amplitudes at two loop order, Phys. Lett. B 427 (1998) 161 [hep-ph/9802439] [INSPIRE].
Ø. Almelid, C. Duhr and E. Gardi, Three-loop corrections to the soft anomalous dimension in multileg scattering, Phys. Rev. Lett. 117 (2016) 172002 [arXiv:1507.00047] [INSPIRE].
S. Moch, J.A.M. Vermaseren and A. Vogt, The Quark form-factor at higher orders, JHEP 08 (2005) 049 [hep-ph/0507039] [INSPIRE].
F. E. Low, Bremsstrahlung of very low-energy quanta in elementary particle collisions, Phys. Rev. 110 (1958) 974.
T.H. Burnett and N.M. Kroll, Extension of the Low soft photon theorem, Phys. Rev. Lett. 20 (1968) 86.
A. Strominger, Asymptotic Symmetries of Yang-Mills Theory, JHEP 07 (2014) 151 [arXiv:1308.0589] [INSPIRE].
E. Laenen, G. Stavenga and C.D. White, Path integral approach to eikonal and next-to-eikonal exponentiation, JHEP 03 (2009) 054 [arXiv:0811.2067] [INSPIRE].
E. Laenen, L. Magnea, G. Stavenga and C.D. White, Next-to-eikonal corrections to soft gluon radiation: a diagrammatic approach, JHEP 01 (2011) 141 [arXiv:1010.1860] [INSPIRE].
V. Del Duca, High-energy Bremsstrahlung Theorems for Soft Photons, Nucl. Phys. B 345 (1990) 369.
A.J. Larkoski, D. Neill and I.W. Stewart, Soft Theorems from Effective Field Theory, JHEP 06 (2015) 077 [arXiv:1412.3108] [INSPIRE].
C.W. Bauer, S. Fleming, D. Pirjol and I.W. Stewart, An Effective field theory for collinear and soft gluons: Heavy to light decays, Phys. Rev. D 63 (2001) 114020 [hep-ph/0011336] [INSPIRE].
C.W. Bauer, D. Pirjol and I.W. Stewart, Soft collinear factorization in effective field theory, Phys. Rev. D 65 (2002) 054022 [hep-ph/0109045] [INSPIRE].
M. Beneke, A.P. Chapovsky, M. Diehl and T. Feldmann, Soft collinear effective theory and heavy to light currents beyond leading power, Nucl. Phys. B 643 (2002) 431 [hep-ph/0206152] [INSPIRE].
M. Beneke and T. Feldmann, Multipole expanded soft collinear effective theory with non-abelian gauge symmetry, Phys. Lett. B 553 (2003) 267 [hep-ph/0211358] [INSPIRE].
R.J. Hill, T. Becher, S.J. Lee and M. Neubert, Sudakov resummation for subleading SCET currents and heavy-to-light form-factors, JHEP 07 (2004) 081 [hep-ph/0404217] [INSPIRE].
M. Beneke and D. Yang, Heavy-to-light B meson form-factors at large recoil energy: Spectator-scattering corrections, Nucl. Phys. B 736 (2006) 34 [hep-ph/0508250] [INSPIRE].
S.M. Freedman and R. Goerke, Renormalization of Subleading Dijet Operators in Soft-Collinear Effective Theory, Phys. Rev. D 90 (2014) 114010 [arXiv:1408.6240] [INSPIRE].
R. Goerke and M. Inglis-Whalen, Renormalization of Dijet Operators at Order 1/Q 2 in Soft-Collinear Effective Theory, arXiv:1711.09147 [INSPIRE].
D. Bonocore, E. Laenen, L. Magnea, L. Vernazza and C.D. White, The method of regions and next-to-soft corrections in Drell-Yan production, Phys. Lett. B 742 (2015) 375 [arXiv:1410.6406] [INSPIRE].
D. Bonocore, E. Laenen, L. Magnea, S. Melville, L. Vernazza and C.D. White, A factorization approach to next-to-leading-power threshold logarithms, JHEP 06 (2015) 008 [arXiv:1503.05156] [INSPIRE].
D. Bonocore, E. Laenen, L. Magnea, L. Vernazza and C.D. White, Non-abelian factorisation for next-to-leading-power threshold logarithms, JHEP 12 (2016) 121 [arXiv:1610.06842] [INSPIRE].
V. Del Duca, E. Laenen, L. Magnea, L. Vernazza and C.D. White, Universality of next-to-leading power threshold effects for colourless final states in hadronic collisions, arXiv:1706.04018 [INSPIRE].
I. Moult, L. Rothen, I.W. Stewart, F.J. Tackmann and H.X. Zhu, Subleading Power Corrections for N-Jettiness Subtractions, Phys. Rev. D 95 (2017) 074023 [arXiv:1612.00450] [INSPIRE].
R. Boughezal, X. Liu and F. Petriello, Power Corrections in the N-jettiness Subtraction Scheme, JHEP 03 (2017) 160 [arXiv:1612.02911] [INSPIRE].
R. Boughezal, C. Focke, X. Liu and F. Petriello, W-boson production in association with a jet at next-to-next-to-leading order in perturbative QCD, Phys. Rev. Lett. 115 (2015) 062002 [arXiv:1504.02131] [INSPIRE].
J. Gaunt, M. Stahlhofen, F.J. Tackmann and J.R. Walsh, N-jettiness Subtractions for NNLO QCD Calculations, JHEP 09 (2015) 058 [arXiv:1505.04794] [INSPIRE].
A.A. Penin, High-Energy Limit of Quantum Electrodynamics beyond Sudakov Approximation, Phys. Lett. B 745 (2015) 69 [arXiv:1412.0671] [INSPIRE].
T. Liu and A.A. Penin, High-Energy Limit of QCD beyond Sudakov Approximation, arXiv:1709.01092 [INSPIRE].
T. Becher and M. Neubert, Infrared singularities of scattering amplitudes in perturbative QCD, Phys. Rev. Lett. 102 (2009) 162001 [arXiv:0901.0722] [INSPIRE].
T. Becher and M. Neubert, On the Structure of Infrared Singularities of Gauge-Theory Amplitudes, JHEP 06 (2009) 081 [arXiv:0903.1126] [INSPIRE].
M. Beneke, F. Campanario, T. Mannel and B.D. Pecjak, Power corrections to \( \overline{B}\to {X}_u\ell \overline{\nu}\left({X}_s\upgamma \right) \) decay spectra in the ‘shape-function’ region, JHEP 06 (2005) 071 [hep-ph/0411395] [INSPIRE].
I. Feige, D.W. Kolodrubetz, I. Moult and I.W. Stewart, A Complete Basis of Helicity Operators for Subleading Factorization, arXiv:1703.03411 [INSPIRE].
T. Becher, A. Broggio and A. Ferroglia, Introduction to Soft-Collinear Effective Theory, Lect. Notes Phys. 896 (2015) 1 [arXiv:1410.1892] [INSPIRE].
A. Broggio, C. Gnendiger, A. Signer, D. Stöckinger and A. Visconti, SCET approach to regularization-scheme dependence of QCD amplitudes, JHEP 01 (2016) 078 [arXiv:1506.05301] [INSPIRE].
C. Marcantonini and I.W. Stewart, Reparameterization Invariant Collinear Operators, Phys. Rev. D 79 (2009) 065028 [arXiv:0809.1093] [INSPIRE].
Open Access
This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0), which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited.
Author information
Authors and Affiliations
Corresponding author
Additional information
ArXiv ePrint: 1712.04416
Rights and permissions
Open Access This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made.
The images or other third party material in this article are included in the article’s Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article’s Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder.
To view a copy of this licence, visit https://creativecommons.org/licenses/by/4.0/.
About this article
Cite this article
Beneke, M., Garny, M., Szafron, R. et al. Anomalous dimension of subleading-power N-jet operators. J. High Energ. Phys. 2018, 1 (2018). https://doi.org/10.1007/JHEP03(2018)001
Received:
Revised:
Accepted:
Published:
DOI: https://doi.org/10.1007/JHEP03(2018)001