Semileptonic decays $B \to D^{(*)} l\nu$ in the perturbative QCD factorization approach

Fan, Ying-Ying; Wang, Wen-Fei; Cheng, Shan; Xiao, Zhen-Jun

doi:10.1007/s11434-013-0049-9

Semileptonic decays $B \to D^{(*)} l\nu$ in the perturbative QCD factorization approach

Jan, 2013

12 pages

Published in:

Chin.Sci.Bull. 59 (2014) 125-132

e-Print:

1301.6246 [hep-ph]

DOI:

10.1007/s11434-013-0049-9

View in:

ADS Abstract Service

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Abstract: (arXiv)

In this paper, we study the

B \to D^{(*)} l^- \bar{\nu}_{\rm l}

semileptonic decays and calculate the branching ratios

{\cal B}(B \to D^{(*)} l^- \bar{\nu}_{\rm l})

and the ratios

R(D^{(*)})

and

R_{\rm D}^{\rm l,\tau}

by employing the perturbative QCD (pQCD) factorization approach. We find that (a) for

R(D)

and

R(D^*)

ratios, the pQCD predictions are

R(D)=0.430^{+0.021}_{-0.026}

,

R(D^*)=0.301 \pm 0.013

and agree well with BaBar's measurements of

R(D^{(*)})

; (b) for the newly defined

R_{\rm D}^{\rm l}

and

R_{\rm D}^{\rm \tau}

ratios, the pQCD predictions are

R_{\rm D}^{\rm l} = 0.450^{+0.064}_{-0.051}

and

R_{\rm D}^{\rm \tau} =0.642^{+0.081}_{-0.070}

, which may be more sensitive to the QCD dynamics of the considered semileptonic decays than

R(D^{(*)})

and should be tested by experimental measurements.

Note:

13 pages, 2 ps figures, 3 tables. Final version published in Chinese Science Bulletin

12.38.Bx
13.25.Hw
14.40.Nd
quantum chromodynamics: perturbation theory
B: semileptonic decay
factorization
BaBar
numerical calculations
B: branching ratio
form factor

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Semileptonic decays B→D(∗)lνB \to D^{(*)} l\nuB→D(∗)lν in the perturbative QCD factorization approach

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Semileptonic decays $B \to D^{(*)} l\nu$ in the perturbative QCD factorization approach