Next-to-leading-order calculation in k<SUB>T</SUB> factorization

LI Hsiang-Nan

doi:10.1088/1674-1137/33/6/012

Chinese Physics C> 2009, Vol. 33> Issue(6) : 463-468 DOI: 10.1088/1674-1137/33/6/012

Next-to-leading-order calculation in k_T factorization

LI Hsiang-Nan

Institute of Physics, Academia Sinica, Taipei 115, China

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Abstract：
We explain the framework for calculating next-to-leading-order (NLO) corrections to exclusive processes in the k_T factorization theorem, taking πγ*→γ as an example. Partons off-shell by k_T² are considered in both the quark diagrams from full QCD and the effective diagrams for the pion wave function. The gauge dependences in the above two sets of diagrams cancel, when deriving the k_T-dependent hard kernel as their difference. The light-cone singularities in the k_T-dependent pion wave function are regularized by rotating the Wilson lines away from the light cone. Both the large double logarithms ln²k_T and ln² x, x being a parton momentum fraction, arise from the loop correction to the virtual photon vertex, the former being absorbed into the pion wave function, and the latter into a jet function.

References

[1]

. Catani S, Ciafaloni M, Hautmann F. Phys. Lett. B, 1990,242: 97; Nucl. Phys. B, 1991, 366: 1352. Collins J C, Ellis R K. Nucl. Phys. B, 1991, 360: 33. Levin E M, Ryskin M G, Shabelskii Yu M, Shuvaev A G.Sov. J. Nucl. Phys., 1991, 53: 6574. Botts J, Sterman G. Nucl. Phys. B, 1989, 325: 625. LI H N, Sterman G. Nucl. Phys. B, 1992, 381: 1296. HUANG T, SHEN Q X. Z. Phys. C, 1991, 50: 139; Ral-ston J P, Pire B. Phys. Rev. Lett., 1990, 65: 2343; JakobR, Kroll P. Phys. Lett. B, 1993, 315: 463; E, 1993, 319:5457. Nagashima M, LI H N. Phys. Rev. D, 2003, 67: 0340018. LI H N, YU H L. Phys. Rev. Lett., 1995, 74: 4388; Phys.Lett. B, 1995, 353: 301; Phys. Rev. D, 1996, 53: 24809. CHANG C H, LI H N. Phys. Rev. D, 1997, 55: 557710. Yeh T W, LI H N. Phys. Rev. D, 1997, 56: 161511. Keum Y Y, LI H N, Sanda A I. Phys. Lett. B, 2001, 504:6; Phys. Rev. D, 2001, 63: 054008; Keum Y Y, LI H N.Phys. Rev. D, 2001, 63: 07400612. LU C D, Ukai K, YANG M Z. Phys. Rev. D, 2001, 63:07400913. Lepage G P, Brodsky S J. Phys. Lett. B, 1979, 87: 359;Phys. Rev. D, 1980, 22: 215714. Efremov A V, Radyushkin A V. Phys. Lett. B, 1980, 94:24515. Chernyak V L, Zhitnitsky A R, Serbo V G. JETP Lett.,1977, 26: 59416. Chernyak V L, Zhitnitsky A R. Sov. J. Nucl. Phys., 1980,31: 544; Phys. Rep., 1984, 112: 17317. Beneke M, Buchalla Neubert G M, Sachrajda C T. Phys.Rev. Lett., 1914, 83: 1914; Nucl. Phys. B, 2000, 591: 31318. Bauer C W, Fleming S, Pirjol D, Stewart I W. Phys. Rev.D, 2001, 63: 11402019. LI H N. Prog. Part. Nucl. Phys., 2003, 51: 85; Czech. J.Phys., 2003, 53: 65720. Collins J C. Acta. Phys. Polon. B, 2003, 34: 310321. Kurimoto T, LI H N, Sanda A I. Phys. Rev. D, 2002, 65:01400722. CHEN C H, Keum Y Y, LI H N. Phys. Rev. D, 2001, 64:11200223. LI H N. Phys. Rev. D, 201, 64: 014019; Nagashima M, LIH N. Eur. Phys. J. C, 2005, 40: 39524. JI X, YUAN F. Phys. Lett. B, 2002, 543: 66; Belitsky AV, JI X, YUAN F. Nucl. Phys. B, 2003, 656: 16525. LI H N. hep-ph/980320226. Nandi S, LI H N. Phys. Rev. D, 2007, 76: 03400827. Collins J C, Soper D E. Nucl. Phys. B, 1981, 193: 38128. del Aguila F, Chase M K. Bucl. Phys. B, 1981, 193: 517;Braaten E. Phys. Rev. D, 1983, 28: 524; Kadantseva E P,Mikhailov S V, Radyushkin A V. Yad. Fiz., 1986, 44: 507;[Sov. J. Nucl. Phys., 1986, 44: 326]29. Ahkoury R, Sterman G, Yao Y P. Phys. Rev. D, 1994, 50:35830. LI H N. Phys. Rev. D, 2002, 66: 094010; Ukai K, LI H N.Phys. Lett. B, 2003, 555: 19731. LI H N. Phys. Rev. D, 1997, 55: 10532. MA J P, WANG Q. Phys. Rev. D, 2007, 75: 014014

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LI Hsiang-Nan. Next-to-leading-order calculation in k_T factorization[J]. Chinese Physics C, 2009, 33(6): 463-468. doi: 10.1088/1674-1137/33/6/012

LI Hsiang-Nan. Next-to-leading-order calculation in k_T factorization[J]. Chinese Physics C, 2009, 33(6): 463-468. doi: 10.1088/1674-1137/33/6/012 shu

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Received: 2008-07-24
Revised: 2008-08-31

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通讯作者: 陈斌, bchen63@163.com

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沈阳化工大学材料科学与工程学院沈阳 110142

Next-to-leading-order calculation in k_T factorization

Institute of Physics, Academia Sinica, Taipei 115, China

Received Date: 2008-07-24

Accepted Date: 2008-08-31

Available Online: 2009-06-05

Abstract:

We explain the framework for calculating next-to-leading-order (NLO) corrections to exclusive processes in the k_T factorization theorem, taking πγ*→γ as an example. Partons off-shell by k_T² are considered in both the quark diagrams from full QCD and the effective diagrams for the pion wave function. The gauge dependences in the above two sets of diagrams cancel, when deriving the k_T-dependent hard kernel as their difference. The light-cone singularities in the k_T-dependent pion wave function are regularized by rotating the Wilson lines away from the light cone. Both the large double logarithms ln²k_T and ln² x, x being a parton momentum fraction, arise from the loop correction to the virtual photon vertex, the former being absorbed into the pion wave function, and the latter into a jet function.

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