$|V_{cb}|$ from the semileptonic decay $B\to D \ell \bar{\nu}_{\ell}$ and the properties of the $D$ meson distribution amplitude - INSPIRE

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$|V_{cb}|$ from the semileptonic decay $B\to D \ell \bar{\nu}_{\ell}$ and the properties of the $D$ meson distribution amplitude

Hai-Bing Fu
(
- Chongqing U.
)
,
Xing-Gang Wu
(
- Chongqing U.
)
,
Hua-Yong Han
(
- Chongqing U.
)
,
Yang Ma
(
- Chongqing U.
)
,
Tao Zhong
(
- Beijing, Inst. High Energy Phys.
)

Sep 23, 2013

21 pages

Published in:

Nucl.Phys.B 884 (2014) 172-192

Published: Jul, 2014

e-Print:

1309.5723 [hep-ph]

DOI:

10.1016/j.nuclphysb.2014.04.021

View in:

ADS Abstract Service

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Abstract: (Elsevier)

The improved QCD light-cone sum rule (LCSR) provides an effective way to deal with the heavy-to-light transition form factors (TFFs). Firstly, we adopt the improved LCSR approach to deal with the B→D TFF f+(q2) up to twist-4 accuracy. Due to the elimination of the most uncertain twist-3 contribution and the large suppression of the twist-4 contribution, the obtained LCSR shall provide us a good platform for testing the D -meson leading-twist DA. For the purpose, we suggest a new model for the D -meson leading-twist DA ( ϕ3D ), whose longitudinal behavior is dominantly determined by a parameter B . Moreover, we find its second Gegenbauer moment a2D∼B . Varying B within certain region, one can conveniently mimic the D -meson DA behavior suggested in the literature. Inversely, by comparing the estimations with the experimental data on the D -meson involved processes, one can get a possible range for the parameter B and a determined behavior for the D -meson DA. Secondly, we discuss the B→D TFF at the maximum recoil region and present a detailed comparison of it with the pQCD estimation and the experimental measurements. Thirdly, by applying the LCSR on f+(q2) , we study the CKM matrix element |Vcb| together with its uncertainties by adopting two types of processes, i.e. the B0/B¯0 -type and the B± -type. It is noted that a smaller B≾0.20 shows a better agreement with the experimental value on |Vcb| . For example, for the case of B=0.00 , we obtain |Vcb|(B0/B¯0−type)=(41.28−4.82+5.68−1.16+1.13)×10−3 and |Vcb|(B±−type)=(40.44−4.72+5.56 −1.00+0.98)×10−3 , whose first (second) uncertainty comes from the squared average of the mentioned theoretical (experimental) uncertainties.

Note:

13 pages, 10 figures. Reference updated and discussion improved. To be published in Nucl.Phys.B

D: distribution amplitude
quantum chromodynamics: light cone
form factor: transition
sum rule: light cone
current: chiral
B: semileptonic decay
moment
recoil
CKM matrix
twist: 4

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