Generalized double-logarithmic large-x resummation in inclusive deep-inelastic scattering

Journal of High Energy Physics

Volumn 2011, Issue 3, 2011, Pages

  Almasy, A A ^a   Soar, G ^a   Vogt, A ^a  

^a UNIVERSITY OF LIVERPOOL   (United Kingdom)

Author keywords

Deep inelastic scattering; QCD; Renormalization group

Indexed keywords

EID: 80053137518     PISSN: 11266708     EISSN: 10298479     Source Type: Journal    
DOI: 10.1007/JHEP03(2011)030     Document Type: Article

References (82)

1. Particle Data Group collaboration, K. Nakamura et al., Review of particle physics, J. Phys. G 37 (2010) 075021 [SPIRES].
2. S.A. Larin, F.V. Tkachev and J.A.M. Vermaseren, The α3s correction to the Bjorken sum rule, Phys. Rev. Lett. 66 (1991) 862 [SPIRES].
3. S.A. Larin and J.A.M. Vermaseren, The α3 S corrections to the Bjorken sum rule for polarized electroproduction and to the Gross-Llewellyn Smith sum rule, Phys. Lett. B 259 (1991) 345 [SPIRES].
4. S.A. Larin, F.V. Tkachov and J.A.M. Vermaseren, The O(α3 S) QCD correction to the lowest moment of the longitudinal structure function in deep inelastic electron-nucleon scattering, Phys. Lett. B 272 (1991) 121 [SPIRES].
5. S.A. Larin, T. van Ritbergen and J.A.M. Vermaseren, The Next next-to-leading QCD approximation for nonsinglet moments of deep inelastic structure functions, Nucl. Phys. B 427 (1994) 41 [SPIRES].
6. S.A. Larin, P. Nogueira, T. van Ritbergen and J.A.M. Vermaseren, The 3-loop QCD calculation of the moments of deep inelastic structure functions, Nucl. Phys. B 492 (1997) 338 [hep-ph/9605317] [SPIRES].
7. A. Retey and J.A.M. Vermaseren, Some higher moments of deep inelastic structure functions at next-to-next-to leading order of perturbative QCD, Nucl. Phys. B 604 (2001) 281 [hep-ph/0007294] [SPIRES].
8. S. Moch, J.A.M. Vermaseren and A. Vogt, The three-loop splitting functions in QCD: The non-singlet case, Nucl. Phys. B 688 (2004) 101 [hep-ph/0403192] [SPIRES].
9. A. Vogt, S. Moch and J.A.M. Vermaseren, The three-loop splitting functions in QCD: The singlet case, Nucl. Phys. B 691 (2004) 129 [hep-ph/0404111] [SPIRES].
10. S. Moch, J.A.M. Vermaseren and A. Vogt, The Longitudinal Structure Function at the Third Order, Phys. Lett. B 606 (2005) 123 [hep-ph/0411112] [SPIRES].
11. J.A.M. Vermaseren, A. Vogt and S. Moch, The third-order QCD corrections to deep-inelastic scattering by photon exchange, Nucl. Phys. B 724 (2005) 3 [hep-ph/0504242] [SPIRES].
12. S. Moch, J.A.M. Vermaseren and A. Vogt, Third-order QCD corrections to the charged-current structure function F3, Nucl. Phys. B 813 (2009) 220 [arXiv:0812.4168] [SPIRES].
13. G.P. Korchemsky, Asymptotics of the Altarelli-Parisi-Lipatov Evolution Kernels of Parton Distributions, Mod. Phys. Lett. A 4 (1989) 1257 [SPIRES].
14. Y.L. Dokshitzer, G. Marchesini and G.P. Salam, Revisiting parton evolution and the large-x limit, Phys. Lett. B 634 (2006) 504 [hep-ph/0511302] [SPIRES].
15. A. Vogt, Leading logarithmic large-x resummation of off-diagonal splitting functions and coefficient functions, Phys. Lett. B 691 (2010) 77 [arXiv:1005.1606] [SPIRES].
16. A. Daleo, A. Gehrmann-De Ridder, T. Gehrmann and G. Luisoni, Antenna subtraction at NNLO with hadronic initial states: initial-final configurations, JHEP 01 (2010) 118 [arXiv:0912.0374] [SPIRES].
17. G. Soar, S. Moch, J.A.M. Vermaseren and A. Vogt, On Higgs-exchange DIS, physical evolution kernels and fourth-order splitting functions at large x, Nucl. Phys. B 832 (2010) 152 [arXiv:0912.0369] [SPIRES].
18. G.F. Sterman, Summation of Large Corrections to Short Distance Hadronic Cross-Sections, Nucl. Phys. B 281 (1987) 310 [SPIRES].
19. L. Magnea, All Order Summation And Two Loop Results For The Drell-Yan Cross-Section, Nucl. Phys. B 349 (1991) 703 [SPIRES].
20. S. Catani and L. Trentadue, Resummation of the QCD Perturbative Series for Hard Processes, Nucl. Phys. B 327 (1989) 323 [SPIRES].
21. S. Catani and L. Trentadue, Comment on QCD exponentiation at large x, Nucl. Phys. B 353 (1991) 183 [SPIRES].
22. H. Contopanagos, E. Laenen and G.F. Sterman, Sudakov factorization and resummation, Nucl. Phys. B 484 (1997) 303 [hep-ph/9604313] [SPIRES].
23. S. Catani, M.L. Mangano, P. Nason and L. Trentadue, The Resummation of Soft Gluon in Hadronic Collisions, Nucl. Phys. B 478 (1996) 273 [hep-ph/9604351] [SPIRES].
24. A. Vogt, Next-to-next-to-leading logarithmic threshold resummation for deep-inelastic scattering and the Drell-Yan process, Phys. Lett. B 497 (2001) 228 [hep-ph/0010146] [SPIRES].
25. S. Moch, J.A.M. Vermaseren and A. Vogt, Non-singlet structure functions at three loops: Fermionic contributions, Nucl. Phys. B 646 (2002) 181 [hep-ph/0209100] [SPIRES].
26. S. Moch, J.A.M. Vermaseren and A. Vogt, Higher-order corrections in threshold resummation, Nucl. Phys. B 726 (2005) 317 [hep-ph/0506288] [SPIRES].
27. P.A. Baikov and K.G. Chetyrkin, New four loop results in QCD, Nucl. Phys. Proc. Suppl. 160 (2006) 76 [SPIRES].
28. A. Vogt, Parton Distributions: Progress and Challenges, proceedings of DIS 07, Munich Germany, April 2007 [arXiv:0707.4106] [SPIRES].
29. 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] [SPIRES].
30. R. Akhoury, M.G. Sotiropoulos and G.F. Sterman, An operator expansion for the elastic limit, Phys. Rev. Lett. 81 (1998) 3819 [hep-ph/9807330] [SPIRES].
31. R. Akhoury and M.G. Sotiropoulos, The large-x factorization of the longitudinal structure function, hep-ph/0304131 [SPIRES].
32. E. Laenen, L. Magnea and G. Stavenga, On next-to-eikonal corrections to threshold resummation for the Drell-Yan and DIS cross sections, Phys. Lett. B 669 (2008) 173 [arXiv:0807.4412] [SPIRES].
33. 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] [SPIRES].
34. E. Gardi, E. Laenen, G. Stavenga and C.D. White, Webs in multiparton scattering using the replica trick, JHEP 11 (2010) 155 [arXiv:1008.0098] [SPIRES].
35. 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] [SPIRES].
36. G. Grunberg, Threshold resummation to any order in (1 - x), arXiv:0710.5693 [SPIRES].
37. G. Grunberg and V. Ravindran, On threshold resummation beyond leading 1 - x order, JHEP 10 (2009) 055 [arXiv:0902.2702] [SPIRES].
38. G. Grunberg, Large-x structure of physical evolution kernels in Deep Inelastic Scattering, Phys. Lett. B 687 (2010) 405 [arXiv:0911.4471] [SPIRES].
39. S. Moch and A. Vogt, Threshold Resummation of the Structure Function FL, JHEP 04 (2009) 081 [arXiv:0902.2342] [SPIRES].
40. S. Moch and A. Vogt, On non-singlet physical evolution kernels and large-x coefficient functions in perturbative QCD, JHEP 11 (2009) 099 [arXiv:0909.2124] [SPIRES].
41. W.L. van Neerven and A. Vogt, Non-singlet structure functions beyond the next-to-next-to leading order, Nucl. Phys. B 603 (2001) 42 [hep-ph/0103123] [SPIRES].
42. A. Vogt, G. Soar, S. Moch and J.A.M Vermaseren, On higher-order flavour-singlet splitting and coefficient functions at large x, Nucl. Phys. Proc. Suppl. 205-206 (2010) 250 [arXiv:1008.0952 [SPIRES].
43. W. Furmanski and R. Petronzio, Lepton-Hadron Processes Beyond Leading Order in Quantum Chromodynamics, Zeit. Phys. C 11 (1982) 293 [SPIRES].
44. S. Catani, Physical anomalous dimensions at small x, Z. Phys. C 75 (1997) 665 [hep-ph/9609263] [SPIRES].
45. J. Blumlein, V. Ravindran and W.L. van Neerven, On the Drell-Levy-Yan relation to O(α2s ), Nucl. Phys. B 586 (2000) 349 [hep-ph/0004172] [SPIRES].
46. J.A.M. Vermaseren, New features of FORM, math-ph/0010025 [SPIRES].
47. M. Tentyukov and J.A.M. Vermaseren, The multithreaded version of FORM, Comput. Phys. Commun. 181 (2010) 1419 [hep-ph/0702279] [SPIRES].
48. W.L. van Neerven and E.B. Zijlstra, Order α2 S contributions to the deep inelastic Wilson coefficient, Phys. Lett. B 272 (1991) 127 [SPIRES].
49. E.B. Zijlstra and W.L. van Neerven, Contribution of the second order gluonic Wilson coefficient to the deep inelastic structure function, Phys. Lett. B 273 (1991) 476 [SPIRES].
50. E.B. Zijlstra and W.L. van Neerven, Order α2 S QCD corrections to the deep inelastic proton structure functions F2 and F(L), Nucl. Phys. B 383 (1992) 525 [SPIRES].
51. S. Moch and J.A.M. Vermaseren, Deep inelastic structure functions at two loops, Nucl. Phys. B 573 (2000) 853 [hep-ph/9912355] [SPIRES].
52. T. Kinoshita, Mass singularities of Feynman amplitudes, J. Math. Phys. 3 (1962) 650 [SPIRES].
53. T.D. Lee and M. Nauenberg, Degenerate Systems and Mass Singularities, Phys. Rev. B 133 (1964) 1549 [SPIRES].
54. H. Kluberg-Stern and J.B. Zuber, Ward Identities and Some Clues to the Renormalization of Gauge Invariant Operators, Phys. Rev. D 12 (1975) 467 [SPIRES].
55. J.C. Collins, A. Duncan and S.D. Joglekar, Trace and Dilatation Anomalies in Gauge Theories, Phys. Rev. D 16 (1977) 438 [SPIRES].
56. S. Moch, J.A.M. Vermaseren and A. Vogt, The quark form factor at higher orders, JHEP 08 (2005) 049 [hep-ph/0507039] [SPIRES].
57. S. Moch, J.A.M. Vermaseren and A. Vogt, Three-loop results for quark and gluon form factors, Phys. Lett. B 625 (2005) 245 [hep-ph/0508055] [SPIRES].
58. S. Moch and A. Vogt, Higher-order threshold resummation for semi-inclusive e+e- annihilation, Phys. Lett. B 680 (2009) 239 [arXiv:0908.2746] [SPIRES].
59. T. Matsuura and W.L. van Neerven, Second order logarithmic corrections to the Drell-Yan cross-section , Z. Phys. C 38 (1988) 623 [SPIRES].
60. T. Matsuura, S.C. van der Marck and W.L. van Neerven, The Calculation of the Second Order Soft and Virtual Contributions to the Drell-Yan Cross-Section, Nucl. Phys. B 319 (1989) 570 [SPIRES].
61. P.A. Baikov, K.G. Chetyrkin, A.V. Smirnov, V.A. Smirnov and M. Steinhauser, Quark and gluon form factors to three loops, Phys. Rev. Lett. 102 (2009) 212002 [arXiv:0902.3519] [SPIRES].
62. R.N. Lee, A.V. Smirnov and V.A. Smirnov, Analytic Results for Massless Three-Loop Form Factors, JHEP 04 (2010) 020 [arXiv:1001.2887] [SPIRES].
63. T. Gehrmann, E.W.N. Glover, T. Huber, N. Ikizlerli and C. Studerus, Calculation of the quark and gluon form factors to three loops in QCD, JHEP 06 (2010) 094 [arXiv:1004.3653] [SPIRES].
64. T. Gehrmann, E.W.N. Glover, T. Huber, N. Ikizlerli and C. Studerus, The quark and gluon form factors to three loops in QCD through to O(eps2), JHEP 11 (2010) 102 [arXiv:1010.4478] [SPIRES].
65. N.H. Christ, B. Hasslacher and A.H. Mueller, Light cone behavior of perturbation theory, Phys. Rev. D 6 (1972) 3543 [SPIRES].
66. A.J. Buras, Asymptotic Freedom in Deep Inelastic Processes in the Leading Order and Beyond, Rev. Mod. Phys. 52 (1980) 199 [SPIRES].
67. E. Reya, Perturbative Quantum Chromodynamics, Phys. Rept. 69 (1981) 195 [SPIRES].
68. M. Abramowitz and I.A. Stegun, Handbook of Mathematical Functions, Dover, New York U.S.A. (1965).
69. D. Braodhurst, private communication.
70. L. Mankiewicz, M. Maul and E. Stein, Perturbative part of the non-singlet structure function F2 in the large-N(F) limit, Phys. Lett. B 404 (1997) 345 [hep-ph/9703356] [SPIRES].
71. P.A. Baikov, K.G. Chetyrkin and J.H. Kühn, Adler Function, Bjorken Sum Rule and the Crewther Relation to Order α4s in a General Gauge Theory, Phys. Rev. Lett. 104 (2010) 132004 [arXiv:1001.3606] [SPIRES].
72. W.L. van Neerven and A. Vogt, NNLO evolution of deep-inelastic structure functions: The singlet case, Nucl. Phys. B 588 (2000) 345 [hep-ph/0006154] [SPIRES].
73. W.L. van Neerven and A. Vogt, Improved approximations for the three-loop splitting functions in QCD, Phys. Lett. B 490 (2000) 111 [hep-ph/0007362] [SPIRES].
74. P.J. Rijken and W.L. van Neerven, O(α2s ) Contributions to the longitudinal fragmentation function in e+ e- annihilation, Phys. Lett. B 386 (1996) 422 [hep-ph/9604436] [SPIRES].
75. P.J. Rijken and W.L. van Neerven, Higher order QCD corrections to the transverse and longitudinal fragmentation functions in electron positron annihilation, Nucl. Phys. B 487 (1997) 233 [hep-ph/9609377] [SPIRES].
76. A. Mitov, S. Moch and A. Vogt, Next-to-next-to-leading order evolution of non-singlet fragmentation functions, Phys. Lett. B 638 (2006) 61 [hep-ph/0604053] [SPIRES].
77. S. Moch and A. Vogt, On Third-Order Timelike Splitting Functions and Top-Mediated Higgs Decay into Hadrons, Phys. Lett. B 659 (2008) 290 [arXiv:0709.3899] [SPIRES].
78. A. Almasy, S. Moch and A. Vogt, in preparation.
79. A.V. Manohar, Deep inelastic scattering as x → 1 using soft-collinear effective theory, Phys. Rev. D 68 (2003) 114019 [hep-ph/0309176] [SPIRES].
80. J. Chay and C. Kim, Deep inelastic scattering near the endpoint in soft- collinear effective theory, Phys. Rev. D 75 (2007) 016003 [hep-ph/0511066] [SPIRES].
81. A. Idilbi, X.-d. Ji and F. Yuan, Resummation of Threshold Logarithms in Effective Field Theory For DIS, Drell-Yan and Higgs Production, Nucl. Phys. B 753 (2006) 42 [hep-ph/0605068] [SPIRES].
82. T. Becher, M. Neubert and B.D. Pecjak, Factorization and momentum-space resummation in deep-inelastic scattering, JHEP 01 (2007) 076 [hep-ph/0607228] [SPIRES].