Abstract
We resum the leading logarithms α n s ln2n − 1(1 − z), n = 1, 2, . . . near the kine-matic threshold z = Q2/ŝ → 1 of the Drell-Yan process at next-to-leading power in the expansion in (1 − z). The derivation of this result employs soft-collinear effective theory in position space and the anomalous dimensions of subleading-power soft functions, which are computed. Expansion of the resummed result leads to the leading logarithms at fixed loop order, in agreement with exact results at NLO and NNLO and predictions from the physical evolution kernel at N3LO and N4LO, and to new results at the five-loop order and beyond.
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References
G.F. Sterman, Summation of large corrections to short distance hadronic cross-sections, Nucl. Phys. B 281 (1987) 310 [INSPIRE].
S. Catani and L. Trentadue, Resummation of the QCD perturbative series for hard processes, Nucl. Phys. B 327 (1989) 323 [INSPIRE].
T. Becher, M. Neubert and G. Xu, Dynamical threshold enhancement and resummation in Drell-Yan production, JHEP 07 (2008) 030 [arXiv:0710.0680] [INSPIRE].
G.P. Korchemsky and G. Marchesini, Resummation of large infrared corrections using Wilson loops, Phys. Lett. B 313 (1993) 433 [INSPIRE].
S. Moch and A. Vogt, Higher-order soft corrections to lepton pair and Higgs boson production, Phys. Lett. B 631 (2005) 48 [hep-ph/0508265] [INSPIRE].
D. Bonocore et al., The method of regions and next-to-soft corrections in Drell-Yan production, Phys. Lett. B 742 (2015) 375 [arXiv:1410.6406] [INSPIRE].
C. Anastasiou et al., Higgs boson gluonffusion production beyond threshold in N 3 LO QCD, JHEP 03 (2015) 091 [arXiv:1411.3584] [INSPIRE].
N. Bahjat-Abbas, J. Sinninghe Damsté, L. Vernazza and C.D. White, On next-to-leading power threshold corrections in Drell-Yan production at N 3 LO, JHEP 10 (2018) 144 [arXiv:1807.09246] [INSPIRE].
D. Bonocore et al., A factorization approach to next-to-leading-power threshold logarithms, JHEP 06 (2015) 008 [arXiv:1503.05156] [INSPIRE].
D. Bonocore et al., Non-abelian factorisation for next-to-leading-power threshold logarithms, JHEP 12 (2016) 121 [arXiv:1610.06842] [INSPIRE].
V. Del Duca et al., Universality of next-to-leading power threshold effects for colourless final states in hadronic collisions, JHEP 11 (2017) 057 [arXiv:1706.04018] [INSPIRE].
M. Beneke, A. Broggio, S. Jaskiewicz and L. Vernazza, in preparation.
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 nonAbelian gauge symmetry, Phys. Lett. B 553 (2003) 267 [hep-ph/0211358] [INSPIRE].
J. Chay and C. Kim, Threshold factorization redux, Phys. Rev. D 97 (2018) 094024 [arXiv:1710.02284] [INSPIRE].
M. Beneke, M. Garny, R. Szafron and J. Wang, Anomalous dimension of subleading-power N-jet operators, JHEP 03 (2018) 001 [arXiv:1712.04416] [INSPIRE].
M. Beneke, F. Campanario, T. Mannel and B.D. Pecjak, Power corrections to \( \overline{B}\to {X}_ul\overline{\nu}\left({X}_s\gamma \right) \) decay spectra in the ‘shape-function’ region, JHEP 06 (2005) 071 [hep-ph/0411395] [INSPIRE].
K.S.M. Lee and I.W. Stewart, Factorization for power corrections to B → X s γ and \( B\to {X}_ul\overline{\nu} \), Nucl. Phys. B 721 (2005) 325 [hep-ph/0409045] [INSPIRE].
S.W. Bosch, M. Neubert and G. Paz, Subleading shape functions in inclusive B decays, JHEP 11 (2004) 073 [hep-ph/0409115] [INSPIRE].
I. Moult, I.W. Stewart, G. Vita and H.X. Zhu, First subleading power resummation for event shapes, JHEP 08 (2018) 013 [arXiv:1804.04665] [INSPIRE].
V. Del Duca, High-energy Bremsstrahlung theorems for soft photons, Nucl. Phys. B 345 (1990) 369 [INSPIRE].
M. Beneke, M. Garny, R. Szafron and J. Wang, Anomalous dimension of subleading-power N -jet operators. Part II, JHEP 11 (2018) 112 [arXiv:1808.04742] [INSPIRE].
T. Becher and G. Bell, The gluon jet function at two-loop order, Phys. Lett. B 695 (2011) 252 [arXiv:1008.1936] [INSPIRE].
R. Hamberg, W.L. van Neerven and T. Matsuura, A complete calculation of the order α 2 s correction to the Drell-Yan K factor, Nucl. Phys. B 359 (1991) 343 [Erratum ibid. B 644 (2002) 403] [INSPIRE].
M. Krämer, E. Laenen and M. Spira, Soft gluon radiation in Higgs boson production at the LHC, Nucl. Phys. B 511 (1998) 523 [hep-ph/9611272] [INSPIRE].
N. Kidonakis, Collinear and soft gluon corrections to Higgs production at NNNLO, Phys. Rev. D 77 (2008) 053008 [arXiv:0711.0142] [INSPIRE].
D. de Florian, J. Mazzitelli, S. Moch and A. Vogt, Approximate N 3 LO Higgs-boson production cross section using physical-kernel constraints, JHEP 10 (2014) 176 [arXiv:1408.6277] [INSPIRE].
T. Liu and A.A. Penin, High-energy limit of QCD beyond the Sudakov approximation, Phys. Rev. Lett. 119 (2017) 262001 [arXiv:1709.01092] [INSPIRE].
T. Liu and A. Penin, High-energy limit of mass-suppressed amplitudes in gauge theories, JHEP 11 (2018) 158 [arXiv:1809.04950] [INSPIRE].
R.A. Brandt, F. Neri and M.-a. Sato, Renormalization of loop functions for all loops, Phys. Rev. D 24 (1981) 879 [INSPIRE].
G.P. Korchemsky and A.V. Radyushkin, Renormalization of the Wilson loops beyond the leading order, Nucl. Phys. B 283 (1987) 342 [INSPIRE].
I.A. Korchemskaya and G.P. Korchemsky, On lightlike Wilson loops, Phys. Lett. B 287 (1992) 169 [INSPIRE].
Y. Li, S. Mantry and F. Petriello, An exclusive soft function for Drell-Yan at next-to-next-to-leading order, Phys. Rev. D 84 (2011) 094014 [arXiv:1105.5171] [INSPIRE].
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ArXiv ePrint: 1809.10631
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Beneke, M., Broggio, A., Garny, M. et al. Leading-logarithmic threshold resummation of the Drell-Yan process at next-to-leading power. J. High Energ. Phys. 2019, 43 (2019). https://doi.org/10.1007/JHEP03(2019)043
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DOI: https://doi.org/10.1007/JHEP03(2019)043