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

Abstract
HTML
Reference
Related

PDF

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

[1]	Zhi-Guo He , Xiao-Bo Jin , Bernd A. Kniehl , Rong Li . Next-to-leading-order relativistic and QCD corrections to prompt $ {\boldsymbol J/\boldsymbol\psi} $ pair photoproduction at future ${\boldsymbol e^{\bf +}\boldsymbol e^{\bf -}} $ colliders. Chinese Physics C, 2024, 48(8): 083107. doi: 10.1088/1674-1137/ad408f
[2]	Li-Ping Sun . J/ψ pair hadroproduction at next-to-leading order in nonrelativistic-QCD at CMS. Chinese Physics C, 2023, 47(9): 093105. doi: 10.1088/1674-1137/ace521
[3]	Feng Feng , Yu Jia . Next-to-leading-order QCD corrections to gluon fragmentation into ${ {}^{\bf 1}{\boldsymbol S}_{\bf 0}^{\bf(1,8)} }$ quarkonia. Chinese Physics C, 2023, 47(3): 033103. doi: 10.1088/1674-1137/aca1aa
[4]	Chun-Xuan Wang , Li-Sheng Geng , Bingwei Long . Renormalizability of leading order covariant chiral nucleon-nucleon interaction. Chinese Physics C, 2021, 45(5): 054101. doi: 10.1088/1674-1137/abe368
[5]	Long-Sheng Lu . Factorization of radiative leptonic D-meson decay with sub-leading power corrections. Chinese Physics C, 2021, 45(7): 073101. doi: 10.1088/1674-1137/abf5c9
[6]	Hua-Yu Jiang , Fu-Sheng Yu , Qin Qin , Hsiang-nan Li , Cai-Dian Lü . D⁰-D⁰ mixing parameter y in the factorization-assisted topological-amplitude approach. Chinese Physics C, 2018, 42(6): 063101. doi: 10.1088/1674-1137/42/6/063101
[7]	Pazilet Obul , Sayipjamal Dulat , Tie-Jiun Hou , Ablikim Tursun , Nijat Yalkun . Next-to-leading order QCD and electroweak corrections to Higgs-strahlung processes at the LHC. Chinese Physics C, 2018, 42(9): 093105. doi: 10.1088/1674-1137/42/9/093105
[8]	Qing-Feng Sun , An-Min Wang . Next-to-leading order QCD corrections to the decay of Higgs to vector meson and Z boson. Chinese Physics C, 2018, 42(3): 033105. doi: 10.1088/1674-1137/42/3/033105
[9]	Kai-Wen Li , Xiu-Lei Ren , Li-Sheng Geng , Bing-Wei Long . Leading order relativistic hyperon-nucleon interactions in chiral effective field theory. Chinese Physics C, 2018, 42(1): 014105. doi: 10.1088/1674-1137/42/1/014105
[10]	Xiu-Lei Ren , Kai-Wen Li , Li-Sheng Geng , Bingwei Long , Peter Ring , Jie Meng . Leading order relativistic chiral nucleon-nucleon interaction. Chinese Physics C, 2018, 42(1): 014103. doi: 10.1088/1674-1137/42/1/014103
[11]	Ai-Jun Ma , Ya Li , Wen-Fei Wang , Zhen-Jun Xiao . S-wave resonance contributions to B_(s)⁰→η_c(2S)π⁺π^-in the perturbative QCD factorization approach. Chinese Physics C, 2017, 41(8): 083105. doi: 10.1088/1674-1137/41/8/083105
[12]	Yun-Guo Jiang , Jia-Zhen Liu , Song He . Near integrability of kink lattice with higher order interactions. Chinese Physics C, 2017, 41(11): 113107. doi: 10.1088/1674-1137/41/11/113107
[13]	M. Mohsenzadeh , E. Yusofi . Higher order corrections to asymptotic-de Sitter inflation. Chinese Physics C, 2017, 41(8): 085101. doi: 10.1088/1674-1137/41/8/085101
[14]	Chao Zhou , Mao Song , Gang Li , Ya-Jin Zhou , Jian-You Guo . Next-to-leading order QCD corrections to Higgs boson decay to quarkonium plus a photon. Chinese Physics C, 2016, 40(12): 123105. doi: 10.1088/1674-1137/40/12/123105
[15]	Zi-qiang Zhang , Yan Wu , De-fu Hou . Melting temperature of heavy quarkonium with a holographic potential up to sub-leading order. Chinese Physics C, 2016, 40(6): 064101. doi: 10.1088/1674-1137/40/6/064101
[16]	BAI Wei , LIU Min , FAN Ying-Ying , WANG Wen-Fei , CHENG Shan , XIAO Zhen-Jun . Revisiting the Kπ puzzle in the pQCD factorization approach. Chinese Physics C, 2014, 38(3): 033101. doi: 10.1088/1674-1137/38/3/033101
[17]	FU Zi-Wen . Lattice calculation of the κ meson. Chinese Physics C, 2012, 36(6): 489-497 . doi: 10.1088/1674-1137/36/6/003
[18]	HE Yun-Cun , ZHANG Ben-Wei , WANG En-Ke . Jet production at next-to-leading order in p+Au collisions at the RHIC. Chinese Physics C, 2012, 36(11): 1077-1081. doi: 10.1088/1674-1137/36/11/007
[19]	CHU Shao-Xia , HOU De-Fu , REN Hai-Cang . On the Next-leading order Heavy-Quark Potential from AdS/CFT. Chinese Physics C, 2010, 34(9): 1355-1359. doi: 10.1088/1674-1137/34/9/041
[20]	Shen Yaosong , Ren Zhongzhou . Relativistic Mean-field Calculation on Λ Hypernuclei. Chinese Physics C, 1997, 21(S4): 47-54.

Access

Get Citation

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

RIS(for EndNote,Reference Manager,ProCite)

BibTex

Txt

Milestone

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

Article Metric

Article Views(2614)
PDF Downloads(556)
Cited by(0)

Policy on re-use

To reuse of subscription content published by CPC, the users need to request permission from CPC, unless the content was published under an Open Access license which automatically permits that type of reuse.

通讯作者: 陈斌, bchen63@163.com

1.
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.

HTML

Reference (1)

Next-to-leading-order calculation in k_T factorization

Abstract：

References

Access

Article Metrics

Metrics

通讯作者: 陈斌, bchen63@163.com

Email This Article

Next-to-leading-order calculation in k_T factorization

HTML

目录

Next-to-leading-order calculation in kT factorization

Abstract：

References

Access

Article Metrics

Metrics

通讯作者: 陈斌, bchen63@163.com

Email This Article

Next-to-leading-order calculation in kT factorization

HTML

目录

Next-to-leading-order calculation in k_T factorization

Next-to-leading-order calculation in k_T factorization