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

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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]

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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

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Received: 2007-04-25
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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.

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

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

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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