Form Factors for B(B<SUB>c</SUB>)→Dlν in Light-Cone Sum Rules with Chiral Current Correlator

HUANG Tao

Chinese Physics C> 2007, Vol. 31> Issue(9) : 849-856

Form Factors for B(B_c)→Dlν in Light-Cone Sum Rules with Chiral Current Correlator

HUANG Tao ^,

Institute of High Energy Physics, CAS, Beijing 100049, China

Abstract
HTML
Reference
Related

PDF

Abstract：
In this paper we calculate the weak form factors of the decays B(B_c)→Dlν by using the chiral current correlator within the framework of the QCD light-cone sum rules (LCSR). The expressions of the form factors only depend on the leading twist distribution amplitude (DA) of the D meson. Three models of the D-meson distribution amplitude are employed and the calculated form factors,F_B→D(0) and F_Bc→D(0) are given. In the velocity transfer region 1.142=0 to go effectively, the yielding behavior of form factor is in agreement with that extracted from the data on B(B_c)→Dlν, within the error. In the large recoil region 1.35B→D(0) is observed consistent with that of perturbative QCD (pQCD). The presented calculation can play a bridge role connecting those from the lattice QCD, heavy quark symmetry and pQCD to have an all-around understanding of B(B_c)→Dlν transitions. Our prediction for F_Bc→D(0), by using the D-meson distribution amplitude with the exponential suppression at the end points, is compatible with other approaches, and favors the three-points sum rules (3PSR) approach with the Coulumb corrections.

References

[1]

. Kurimoto T, LI H N, Sanda A I. Phys. Rev., 2002, D65:014007; L#220; C D, YANG M Z. Euro. Phys. J., 2003, C28:5152. HUANG T, LI Z H, WU X Y. Phys. Rev., 2001, D63:0949913. Bowler K C et al. Phys. Lett., 2000, B486: 1114. HUANG T, WU X G. Phys. Rev., 2005, D71: 0340185. Abe F et al(CDF Collaboration). Phys. Rev., 1998, D58:112004; Phys. Rev. Lett., 1998, 81: 24326. Acosta D et al(CDF Collaboration). hep-ex/05050767. Corcoran M D(CDF Collaboration). hep-ex/05060618. Lusignoli M, Masetti M. Z. Phys., 1991, C51: 5499. Kiselev V V. Mod. Phys. Lett., 1995, A10: 1049; KiselevV V. Int. J. Mod. Phys., 1994, A9: 498710. Bigi I. Phys. Lett., 1996, B371: 105; Beneke M, BuchallaG. Phys. Rev., 1996, D53: 499111. Colangelo P, Nardulli G, Paver N. Z. Phys., 1993, C57: 43;Bagan E et al. Z. Phys., 1994, C64: 5712. Kiselev V V, Likhoded A K, Tkabladze A V. Phys. Atom.Nucl., 1993, 56: 643; Yad. Fiz., 1993, 56: 128; Kiselev VV, Tkabladze A V. Phys. Rev., 1993, D48: 5208; KiselevV V, Likhoded A K, Onishchenko A I. Nucl. Phys., 2000,B569: 47313. ZUO F, LI Z H, HUANG T. Phys. Lett., 2006, B641: 17714. ZUO F, HUANG T. Chin. Phys. Lett., 2007, 24: 6115. Kurimoto T, LI H N, Sanda A I. Phys. Rev., 2003, D67:05402816. GUO X H, HUANG T. Phys. Rev., 1991, D43: 293117. Brodsky S J, HUANG T, Lepage G P. in Particles and Fields-2. Proceedings of the Ban Summer Institute. Ban ,Alberta, 1981. Edited by Capri A Z, Kamal A N. Plenum,New York, 1983. 143; Lepage G P, Brodsky S J, HUANGT et al. ibid. 83; HUANG T. in Proceedings of XXth InternationalConference on High Energy Physics. Madison,Wisconsin, 1980. Edited by Durand L, Pondrom L G. AIPConf. Proc. No. 69. AIP, New York, 1981. 100018. HUANG T, MA B Q, SHEN Q X. Phys. Rev., 1994, D49:149019. Isgur N, Wise M B. Phys. Lett., 1989, B232: 113; ibid.,1989, 237: 52720. Kiselev V V. hep-ph/021102121. Ivanov M A, Krner J G, Santorelli P. Phys. Rev., 2006,D73: 05402422. CHANG C H, CHEN Y Q. Phys. Rev., 1994, D49: 3399

[1]	Yan-Bing Wei , Run-Hui Li , Dan Luo , Cai-Dian Lü , Yue-Long Shen . Exclusive production of B_c mesons in e⁺e^- colliders. Chinese Physics C, 2018, 42(8): 083107. doi: 10.1088/1674-1137/42/8/083107
[2]	YUAN Xu-Hao , KE Hong-Wei , DING Yi-Bing , LI Xue-Qian . Re-study of the contribution of scalar potential and spectra of cc, bb and bc(bc) families. Chinese Physics C, 2012, 36(2): 117-126. doi: 10.1088/1674-1137/36/2/003
[3]	J.M. Flynn , E. Hernandez . Semileptonic bc to cc and bb to bc baryon decays and heavy quark spin symmetry. Chinese Physics C, 2010, 34(9): 1364-1367. doi: 10.1088/1674-1137/34/9/043
[4]	QI Bin , ZHANG Shang-Quan , WANG Shou-Yu , MENG Jie . Chiral Bands in Particle Rotor Model with Pairing Correlations. Chinese Physics C, 2006, 30(S2): 112-114.
[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]	XIAO Jun , CHENG Luan , WANG En-Ke . A Deduced Feynman Rule for Calculating Retarded and Advanced Green Function in Closed Time Path Formalism. Chinese Physics C, 2004, 28(7): 690-695.
[7]	HUANG Yi-Bin , YAN Mu-Lin , WANG Xiao-Jun . Resummation Study on Decay ρ→ππ in U(2)_L×U(2)_R Chiral Theory of Mesons. Chinese Physics C, 2004, 28(4): 340-344.
[8]	WU Qi , LIU Chun-Xiu . Contribution of the πNN Processes to Gottfried Sum Rule Violation. Chinese Physics C, 2003, 27(2): 138-141.
[9]	CHANG Chao-Hsi . B_c Meson Studies. Chinese Physics C, 2002, 26(S1): 1-10.
[10]	GOU Liang , DONG FangXiao , ZHOU XianJian . Analytical Helicity Amplitudes for Z→3γ and It's Related Processes and Discussion of Polarization Vectors. Chinese Physics C, 2000, 24(12): 1098-1105.
[11]	CAO ZeXin , HE HanXin . Tensor Charge of the Nucleon from the QCD Sum Rule with Unconventional Interpolating Field. Chinese Physics C, 2000, 24(7): 624-630.
[12]	Huang Mei , Zhung Pengfei . Chiral Singularity in Hadronization. Chinese Physics C, 1998, 22(8): 690-698.
[13]	Liu Jueping , Jin Yaping . Finite Temperature QCD Sum Rule and the ρ-Meson. Chinese Physics C, 1995, 19(12): 1108-1113.
[14]	WU Ji-Min . A Rigorous Calculation for the Radiator in e⁺e^－ Process. Chinese Physics C, 1993, 17(2): 146-151.
[15]	XU Xiao-Ming , QIU Xi-Jun . Deuteron Properties in the Chiral Quark-Soliton Model. Chinese Physics C, 1993, 17(1): 65-68.
[16]	ZHU Wei . Valence-Quark-Mixing Contribution to Gottfried Sum Rule. Chinese Physics C, 1993, 17(8): 714-716.
[17]	ZHANG Zhao-Xi , CHEN Yu-Qi . The Production of B_c⁽B_c) Meson Through Z⁰ Boson Decay. Chinese Physics C, 1992, 16(4): 335-339.
[18]	CHEN Tian-Lun , SUO Cun-Chuan , HUANG Wu-Qun . β FUNCTION FOR SU(3)×SU(3) CHIRAL MODEL ON 2-DIMENSIONAL RANDOM TRIANGLE LATTICE. Chinese Physics C, 1990, 14(8): 700-703.
[19]	MAO Nai-Feng , LI Zeng-Hai . SPLINE FUNCTION REPRESENTATION FOR TRANSFORMATION OF PHASE SPACE WITH ARBITRARY CONTOURS. Chinese Physics C, 1989, 13(5): 445-450.
[20]	Huang Chao-shang . THE LARGE MOMENTUM BEHAVIOR OF THE PION WAVE FUNCTION AND THE PION ELECTROMAGNETIC FORM FACTOR. Chinese Physics C, 1980, 4(6): 761-766.

Access

Get Citation

HUANG Tao. Form Factors for B(B_c)→Dlν in Light-Cone Sum Rules with Chiral Current Correlator[J]. Chinese Physics C, 2007, 31(9): 849-856.

HUANG Tao. Form Factors for B(B_c)→Dlν in Light-Cone Sum Rules with Chiral Current Correlator[J]. Chinese Physics C, 2007, 31(9): 849-856. shu

RIS(for EndNote,Reference Manager,ProCite)

BibTex

Txt

Milestone

Received: 2007-04-25
Revised: 1900-01-01

Article Metric

Article Views(3015)
PDF Downloads(677)
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

Form Factors for B(B_c)→Dlν in Light-Cone Sum Rules with Chiral Current Correlator

Corresponding author: HUANG Tao,

Institute of High Energy Physics, CAS, Beijing 100049, China

Received Date: 2007-04-25

Accepted Date: 1900-01-01

Available Online: 2007-09-05

Abstract: In this paper we calculate the weak form factors of the decays B(B_c)→Dlν by using the chiral current correlator within the framework of the QCD light-cone sum rules (LCSR). The expressions of the form factors only depend on the leading twist distribution amplitude (DA) of the D meson. Three models of the D-meson distribution amplitude are employed and the calculated form factors,F_B→D(0) and F_Bc→D(0) are given. In the velocity transfer region 1.142=0 to go effectively, the yielding behavior of form factor is in agreement with that extracted from the data on B(B_c)→Dlν, within the error. In the large recoil region 1.35B→D(0) is observed consistent with that of perturbative QCD (pQCD). The presented calculation can play a bridge role connecting those from the lattice QCD, heavy quark symmetry and pQCD to have an all-around understanding of B(B_c)→Dlν transitions. Our prediction for F_Bc→D(0), by using the D-meson distribution amplitude with the exponential suppression at the end points, is compatible with other approaches, and favors the three-points sum rules (3PSR) approach with the Coulumb corrections.

HTML

Reference (1)

Form Factors for B(B_c)→Dlν in Light-Cone Sum Rules with Chiral Current Correlator

Abstract：

References

Access

Article Metrics

Metrics

通讯作者: 陈斌, bchen63@163.com

Email This Article

Form Factors for B(B_c)→Dlν in Light-Cone Sum Rules with Chiral Current Correlator

Corresponding author: HUANG Tao,

HTML

目录

Form Factors for B(Bc)→Dlν in Light-Cone Sum Rules with Chiral Current Correlator

Abstract：

References

Access

Article Metrics

Metrics

通讯作者: 陈斌, bchen63@163.com

Email This Article

Form Factors for B(Bc)→Dlν in Light-Cone Sum Rules with Chiral Current Correlator

Corresponding author: HUANG Tao,

HTML

目录

Form Factors for B(B_c)→Dlν in Light-Cone Sum Rules with Chiral Current Correlator

Form Factors for B(B_c)→Dlν in Light-Cone Sum Rules with Chiral Current Correlator