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

  • In this paper we calculate the weak form factors of the decays B(Bc)→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,FB→D(0) and FBc→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(Bc)→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(Bc)→Dlν transitions. Our prediction for FBc→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.
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  • [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
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HUANG Tao. Form Factors for B(Bc)→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(Bc)→Dlν in Light-Cone Sum Rules with Chiral Current Correlator[J]. Chinese Physics C, 2007, 31(9): 849-856. shu
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Received: 2007-04-25
Revised: 1900-01-01
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Form Factors for B(Bc)→Dlν in Light-Cone Sum Rules with Chiral Current Correlator

    Corresponding author: HUANG Tao,
  • Institute of High Energy Physics, CAS, Beijing 100049, China

Abstract: In this paper we calculate the weak form factors of the decays B(Bc)→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,FB→D(0) and FBc→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(Bc)→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(Bc)→Dlν transitions. Our prediction for FBc→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.

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