Model independent evolution of transverse momentum dependent distribution functions (TMDs) at NNLL

European Physical Journal C

Volumn 73, Issue 12, 2013, Pages 1-15

  Echevarría, Miguel G ^a   Idilbi, Ahmad ^b   Schäfer, Andreas ^c   Scimemi, Ignazio ^a  

^a UNIVERSIDAD COMPLUTENSE DE MADRID   (Spain)

^b ECT   (Italy)

^c UNIVERSITY OF REGENSBURG   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 84887537602     PISSN: 14346044     EISSN: 14346052     Source Type: Journal    
DOI: 10.1140/epjc/s10052-013-2636-y     Document Type: Article

References (42)

1. A. Accardi, J. L. Albacete, M. Anselmino, N. Armesto, E. C. Aschenauer et al., Electron Ion Collider: the next QCD frontier-understanding the glue that binds us all. arXiv: 1212. 1701 [nucl-ex] (2012).
2. D. W. Sivers, Single spin production asymmetries from the hard scattering of point-like constituents. Phys. Rev. D 41, 8 (1990).
3. J. C. Collins, Fragmentation of transversely polarized quarks probed in transverse momentum distributions. Nucl. Phys. B 396, 161-182 (1993). arXiv: hep-ph/9208213 [hep-ph].
4. V. Barone, F. Bradamante, A. Martin, Transverse-spin and transverse-momentum effects in high-energy processes. Prog. Part. Nucl. Phys. 65, 267-333 (2010). arXiv: 1011. 0909 [hep-ph].
5. S. Mert Aybat, T. C. Rogers, TMD parton distribution and fragmentation functions with QCD evolution. Phys. Rev. D 83, 114042 (2011). arXiv: 1101. 5057 [hep-ph].
6. S. Mert Aybat, J. C. Collins, J.-W. Qiu, T. C. Rogers, The QCD evolution of the Sivers function. Phys. Rev. D 85, 034043 (2012). arXiv: 1110. 6428 [hep-ph].
7. S. Mert Aybat, A. Prokudin, T. C. Rogers, Calculation of TMD evolution for transverse single spin asymmetry measurements. Phys. Rev. Lett. 108, 242003 (2012). arXiv: 1112. 4423 [hep-ph].
8. Z.-B. Kang, B.-W. Xiao, F. Yuan, QCD resummation for single spin asymmetries. Phys. Rev. Lett. 107, 152002 (2011). arXiv: 1106. 0266 [hep-ph].
9. M. Anselmino, M. Boglione, S. Melis, A strategy towards the extraction of the Sivers function with TMD evolution. Phys. Rev. D 86, 014028 (2012). arXiv: 1204. 1239 [hep-ph].
10. P. Sun, B.-W. Xiao, F. Yuan, Gluon distribution functions and Higgs boson production at moderate transverse momentum. Phys. Rev. D 84, 094005 (2011). arXiv: 1109. 1354 [hep-ph].
11. B. U. Musch, P. Hägler, M. Engelhardt, J. W. Negele, A. Schäfer, Sivers and Boer-Mulders observables from lattice QCD. Phys. Rev. D 85, 094510 (2012). arXiv: 1111. 4249 [hep-lat].
12. M. G. Echevarria, A. Idilbi, I. Scimemi, Soft and collinear factorization and transverse momentum dependent parton distribution functions. arXiv: 1211. 1947 [hep-ph] (2012).
13. T and transverse momentum distributions on-the-light-cone. J. High Energy Phys. 1207, 002 (2012). arXiv: 1111. 4996 [hep-ph].
14. M. G. Echevarria, A. Idilbi, I. Scimemi, Definition and evolution of transverse momentum distributions. Int. J. Mod. Phys. Conf. Ser. 20, 92-108 (2012). arXiv: 1209. 3892 [hep-ph].
15. J. Collins, Foundations of Perturbative QCD. Cambridge Monographs on Particle Physics, Nuclear Physics and Cosmology, vol. 32 (2011).
16. J. C. Collins, T. C. Rogers, Equality of two definitions for transverse momentum dependent parton distribution functions. Phys. Rev. D 87, 034018 (2013). arXiv: 1210. 2100 [hep-ph].
17. J. C. Collins, D. E. Soper, Parton distribution and decay functions. Nucl. Phys. B 194, 445 (1982).
18. J. C. Collins, D. E. Soper, Back-to-back jets in QCD. Nucl. Phys. B 193, 381 (1981).
19. J. C. Collins, D. E. Soper, G. F. Sterman, Transverse momentum distribution in Drell-Yan pair and W and Z boson production. Nucl. Phys. B 250, 199 (1985).
20. A. V. Konychev, P. M. Nadolsky, Universality of the Collins-Soper-Sterman nonperturbative function in gauge boson production. Phys. Lett. B 633, 710-714 (2006). arXiv: hep-ph/0506225 [hep-ph].
21. A. V. Manohar, I. W. Stewart, The zero-bin and mode factorization in quantum field theory. Phys. Rev. D 76, 074002 (2007). arXiv: hep-ph/0605001 [hep-ph].
22. P. J. Mulders, R. D. Tangerman, The complete tree level result up to order 1/Q for polarized deep inelastic leptoproduction. Nucl. Phys. B 461, 197-237 (1996). arXiv: hep-ph/9510301 [hep-ph].
23. D. Boer, P. J. Mulders, Time reversal odd distribution functions in leptoproduction. Phys. Rev. D 7, 5780-5786 (1998). arXiv: hep-ph/9711485 [hep-ph].
24. A. Idilbi, I. Scimemi, Singular and regular gauges in soft collinear effective theory: the introduction of the new Wilson line T. Phys. Lett. B 695, 463-468 (2011). arXiv: 1009. 2776 [hep-ph].
25. M. Garcia-Echevarria, A. Idilbi, I. Scimemi, SCET, light-cone gauge and the T-Wilson lines. Phys. Rev. D 84, 011502 (2011). arXiv: 1104. 0686 [hep-ph].
26. A. Idilbi, X.-d. Ji, F. Yuan, Resummation of threshold logarithms in effective field theory for DIS, Drell-Yan and Higgs production. Nucl. Phys. B 753, 42-68 (2006). arXiv: hep-ph/0605068 [hep-ph].
27. S. Moch, J. A. M. Vermaseren, A. Vogt, The quark form-factor at higher orders. J. High Energy Phys. 0508, 049 (2005). arXiv: hep-ph/0507039 [hep-ph].
28. S. Moch, J. A. M. Vermaseren, A. Vogt, The three loop splitting functions in QCD: the nonsinglet case. Nucl. Phys. B 688, 101-134 (2004). arXiv: hep-ph/0403192 [hep-ph].
29. T, transverse parton distributions and the collinear anomaly. Eur. Phys. J. C 71, 1665 (2011). arXiv: 1007. 4005 [hep-ph].
30. A. Grozin, Decoupling in QED and QCD. Int. J. Mod. Phys. A 28, 1350015 (2013). arXiv: 1212. 5144 [hep-ph].
31. 3. Nucl. Phys. B 438, 278-306 (1995). arXiv: hep-ph/9411260 [hep-ph].
32. 3) and their connection to low-energy theorems. Nucl. Phys. B 510, 61-87 (1998). arXiv: hep-ph/9708255 [hep-ph].
33. K. G. Chetyrkin, J. H. Kühn, M. Steinhauser, RunDec: a Mathematica package for running and decoupling of the strong coupling and quark masses. Comput. Phys. Commun. 133, 43-65 (2000). arXiv: hep-ph/0004189 [hep-ph].
34. K. G. Chetyrkin, J. H. Kühn, C. Sturm, QCD decoupling at four loops. Nucl. Phys. B 744, 121-135 (2006). arXiv: hep-ph/0512060 [hep-ph].
35. Y. Schroder, M. Steinhauser, Four-loop decoupling relations for the strong coupling. J. High Energy Phys. 0601, 051 (2006). arXiv: hep-ph/0512058 [hep-ph].
36. M. Anselmino, M. Boglione, U. D'Alesio, A. Kotzinian, F. Murgia et al., The role of Cahn and Sivers effects in deep inelastic scattering. Phys. Rev. D 71, 074006 (2005). arXiv: hep-ph/0501196 [hep-ph].
37. P. Schweitzer, T. Teckentrup, A. Metz, Intrinsic transverse parton momenta in deeply inelastic reactions. Phys. Rev. D 81, 094019 (2010). arXiv: 1003. 2190 [hep-ph].
38. J. C. Collins, A. V. Efremov, K. Goeke, S. Menzel, A. Metz et al., Sivers effect in semi-inclusive deeply inelastic scattering. Phys. Rev. D 73, 014021 (2006). arXiv: hep-ph/0509076 [hep-ph].
39. M. Anselmino, M. Boglione, U. D'Alesio, A. Kotzinian, S. Melis et al., Sivers effect for pion and kaon production in semi-inclusive deep inelastic scattering. Eur. Phys. J. A 39, 89-100 (2009). arXiv: 0805. 2677 [hep-ph].
40. A. D. Martin, W. J. Stirling, R. S. Thorne, G. Watt, Parton distributions for the LHC. Eur. Phys. J. C 63, 189-285 (2009). arXiv: 0901. 0002 [hep-ph].
41. P. J. Mulders, J. Rodrigues, Transverse momentum dependence in gluon distribution and fragmentation functions. Phys. Rev. D 63, 094021 (2001). arXiv: hep-ph/0009343 [hep-ph].
42. F. Landry, R. Brock, P. M. Nadolsky, C. P. Yuan, Tevatron run-1 Z boson data and Collins-Soper-Sterman resummation formalism. Phys. Rev. D 67, 073016 (2003). arXiv: hep-ph/0212159 [hep-ph].