Infrared Divergence and Twist-3 Wave Functions in QCD Factorization for B→PP Decays

DU Dong-Sheng

近期发现有不法分子冒充我刊与作者联系，借此进行欺诈等不法行为，请广大作者加以鉴别，如遇诈骗行为，请第一时间与我刊编辑部联系确认（《中国物理C》（英文）编辑部电话：010-88235947,010-88236950），并作报警处理。

本刊再次郑重声明：

（1）本刊官方网址为cpc.ihep.ac.cn和https://iopscience.iop.org/journal/1674-1137

（2）本刊采编系统作者中心是投稿的唯一路径，该系统为ScholarOne远程稿件采编系统，仅在本刊投稿网网址（https://mc03.manuscriptcentral.com/cpc）设有登录入口。本刊不接受其他方式的投稿，如打印稿投稿、E-mail信箱投稿等，若以此种方式接收投稿均为假冒。

（3）所有投稿均需经过严格的同行评议、编辑加工后方可发表，本刊不存在所谓的“编辑部内部征稿”。如果有人以“编辑部内部人员”名义帮助作者发稿，并收取发表费用，均为假冒。

《中国物理C》（英文）编辑部

2024年10月30日

Chinese Physics C> 2002, Vol. 26> Issue(S1) : 11-15

Infrared Divergence and Twist-3 Wave Functions in QCD Factorization for B→PP Decays

DU Dong-Sheng ^,

Institute of High Energy Physics of CAS, Beijing 100039, China

Abstract
HTML
Reference
Related

PDF

Abstract：
The problem of chirally enhanced corrections for B decays into two light pseudos- calars in QCD factorization scheme is discussed. We find that the infrared divergences of the vertex corrections cancel only if the twist-3 wave functions are symmetric. In that case chirally enhanced corrections can be included consistently. The divergences appeared in the hard spectator scattering are also discussed briefly.

References

[1]

Bauer M, Stech B. Phys. Lett.,1985, B152: 380; Z. Phys., 1987, 34: 1032 Fleischer R. Phys. Lett., 1994, B321: 259; Phys. Lett., 1994, B332: 419; Z. Phys. ,1994, C62: 81; Ali A, Kramer G, LU C D. Phys. Rev., 1999, D59: 014005; Phys. Rev., 1998, D58: 094009; CHEN Y H et al. Phys. Rev., 1999, D60: 094014 3 For a review, see Buchalla G, Buras A J, Lautenbacher M E. Rev. Mod. Phys., 1996, 68: 1125; Buras A J. Probing the Standard Model of Particle Interactions, hep–ph/98064714 Beneke M, Buchalla G, Neubert M et al. Phys. Rev. Lett., 1999, 83: 1914 5 Beneke M, Buchalla G, Neubert M et al. hep–ph/00072566 Beneke M. J. Phys., 2001, G27: 1069 7 Beneke M, Buchalla G, Neubert M et al. Nucl. Phys., 2001, B606: 2458 DUDS, YANG D S, ZHU G H. Phys. Rev., 2001, D64: 014036; Phys. Lett., 2001, B509: 263

[1]	SHI Yuan-Mei , PING Jia-Lun , HE Han-Xin . Two Renormalization Approaches for the Dyson-Schwinger Equations in the Infrared. Chinese Physics C, 2006, 30(9): 833-837.
[2]	LU Gong-Ru , SU Fang , YANG Ya-Dong , HAO Hong-Jun . Probe the Strength of Annihilation In B_S→π^＋π^－ Decays Within QCD Factorization. Chinese Physics C, 2006, 30(6): 501-506.
[3]	JIANG Jun-Qin . Mass Gap and Glueball Wave Function for U(1) Improved Lattice Gauge Theory in Three-Dimensions. Chinese Physics C, 2005, 29(2): 115-118.
[4]	LU GoNG-Ru , WANG Ru-Min , YANG Ya-Dong . Analysis of the Annihilation Decays B0s,d→J/ψ γ with QCD Factorization. Chinese Physics C, 2005, 29(3): 232-236.
[5]	WU Xing-Hua , ZHOU Ming-Zhen , HUANG Tao . Normalization Constants of the Twist-3 Distribution Amplitudes of the Pion and Kaon From the QCD Sum Rules. Chinese Physics C, 2005, 29(8): 727-730.
[6]	LI Xin-Qiang , LU Gong-Ru , YANG Ya-Dong . Study of Two-Body Non-leptonic Charmless Bs→vv Decays within QCD Factorization. Chinese Physics C, 2004, 28(12): 1248-1255.
[7]	ZHOU Ming-Zhen , WU Xing-Hua , HUANG Tao . Twist-3 Distribution Amplitudes in the B→π Transition Form Factor. Chinese Physics C, 2004, 28(9): 927-930.
[8]	WAN Ling-De , CAO Jun-Jie . Infrared Divergence in Loop Functions. Chinese Physics C, 2003, 27(5): 381-385.
[9]	YANG Mao-Zhi , YANG Ya-Dong . Two-Body B Decays to Pseudoscalar and Vector Mesons in QCD Factorization Approach. Chinese Physics C, 2002, 26(S1): 34-40.
[10]	LI Jie-Ming , JIANG Jun-Qin . Calculation of the Vacuum Wave Function for (2+1) Dimensional Lattice QCD. Chinese Physics C, 2001, 25(7): 617-620.
[11]	Hul Ping . (2+1)-D SU(3)0⁺⁺ Glueball Wavefunction. Chinese Physics C, 1999, 23(4): 340-346.
[12]	Dong Yubing . Polarized Structure Functions in the Resoance Region andHigher-Twist Effects. Chinese Physics C, 1998, 22(8): 713-717.
[13]	Chen Xiangjun , Liu Lianshou . Regularization of Infrared Divergences in the Vacuum Graphs of Massless Field at Finite Temperature. Chinese Physics C, 1997, 21(5): 425-432.
[14]	Chen Xiangjun , Liu Lianshou . Regularization of Angular Infrared Divergence of Massless Theory at Finite Temperature. Chinese Physics C, 1995, 19(10): 907-910.
[15]	Chen Qizhou , Li Zhibing , Li Lei , Guo Shuohong . Infrared Vacuum Wavefunction of (2+1)-Dimensional SU(2) Gauge Field. Chinese Physics C, 1994, 18(1): 37-42.
[16]	LI Guang-Hua , HE Hui-Yong . Calculating on Wavefunctions of the Ground State Band for the Strong Coupling SU(3) Limit in IBM4. Chinese Physics C, 1992, 16(3): 278-284.
[17]	SHEN Qi-Xing , WU Ji-Min , SONG Xiao-Tong , DU Jian-Guo , ZHANG Hong-Xian . QCD PREDICTIONS FOR THE SEA QUARK DISTRIBUTION FUNCTION IN HADRONS. Chinese Physics C, 1989, 13(7): 607-613.
[18]	WU Ji-Min , SHEN Qi-Xing , SONG Xiao-Tong , ZHANG Hong-Xian , DU Jian-Guo . THE QCD PREDICTIONS FOR THE GLUON DISTRIBUTION FUNCTION IN HADRONS. Chinese Physics C, 1989, 13(6): 494-502.
[19]	WU Ji-Min . QCD PREDICTIONS FOR WEAK NEUTRAL CURRENT STRUCTURE FUNCTIONS. Chinese Physics C, 1987, 11(4): 558-562.
[20]	SHEN Qi-Xing , WU Ji-Min , LU Jing-Xian , ZHAO Pei-Ying . THE QCD BEHAVIOURS OF THE XF₃ (X, Q²) UP TO THE LEADING LOG IN THE NEUTRINO DEEPINELASTIC PROCESSES. Chinese Physics C, 1983, 7(3): 309-315.

Access

Get Citation

DU Dong-Sheng. Infrared Divergence and Twist-3 Wave Functions in QCD Factorization for B→PP Decays[J]. Chinese Physics C, 2002, 26(S1): 11-15.

DU Dong-Sheng. Infrared Divergence and Twist-3 Wave Functions in QCD Factorization for B→PP Decays[J]. Chinese Physics C, 2002, 26(S1): 11-15. shu

RIS(for EndNote,Reference Manager,ProCite)

BibTex

Txt

Milestone

Received: 1900-01-01
Revised: 1900-01-01

Article Metric

Article Views(2919)
PDF Downloads(617)
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

Infrared Divergence and Twist-3 Wave Functions in QCD Factorization for B→PP Decays

DU Dong-Sheng ^,

Corresponding author: DU Dong-Sheng,

Institute of High Energy Physics of CAS, Beijing 100039, China

Received Date: 1900-01-01
Accepted Date: 1900-01-01
Available Online: 2002-06-24

Abstract: The problem of chirally enhanced corrections for B decays into two light pseudos- calars in QCD factorization scheme is discussed. We find that the infrared divergences of the vertex corrections cancel only if the twist-3 wave functions are symmetric. In that case chirally enhanced corrections can be included consistently. The divergences appeared in the hard spectator scattering are also discussed briefly.