Abstract
Abstract
We present the first application of QCD light-cone sum rules (LCSRs) with B(s)-meson distribution amplitudes to the $$ {B}_{(s)}\to {D}_{(s)0}^{\ast } $$
B
s
→
D
s
0
∗
form factors, where $$ {D}_{(s)0}^{\ast } $$
D
s
0
∗
is a charmed scalar meson. We consider two scenarios for the $$ {D}_0^{\ast } $$
D
0
∗
spectrum. In the first one, we follow the Particle Data Group and consider a single broad resonance $$ {D}_0^{\ast }(2300) $$
D
0
∗
2300
. In the second one, we assume the existence of two scalar resonances, $$ {D}_0^{\ast }(2105) $$
D
0
∗
2105
and $$ {D}_0^{\ast }(2451) $$
D
0
∗
2451
, as follows from a recent theoretically motivated analysis of B → Dππ decays. The $$ B\to {D}_0^{\ast } $$
B
→
D
0
∗
form factors are calculated in both scenarios, also taking into account the large total width of $$ {D}_0^{\ast }(2300) $$
D
0
∗
2300
. Furthermore, we calculate the $$ {B}_s\to {D}_{s0}^{\ast } $$
B
s
→
D
s
0
∗
form factors, considering in this case only the one-resonance scenario with Ds0(2317). In this LCSRs calculation, the c-quark mass is kept finite and the s-quark mass is taken into account. We also include contributions of the two- and three-particle distribution amplitudes up to twist-four. Our predictions for semileptonic $$ B\to {D}_0^{\ast}\ell {\nu}_{\ell } $$
B
→
D
0
∗
ℓ
ν
ℓ
and $$ {B}_s\to {D}_{s0}^{\ast}\ell {\nu}_{\ell } $$
B
s
→
D
s
0
∗
ℓ
ν
ℓ
branching ratios are compared with the available data and HQET-based predictions. As a byproduct, we also obtain the $$ {D}_0^{\ast } $$
D
0
∗
- and $$ {D}_{s0}^{\ast } $$
D
s
0
∗
-meson decay constants and predict the lepton flavour universality ratios $$ R\left({D}_0^{\ast}\right) $$
R
D
0
∗
and $$ R\left({D}_{s0}^{\ast}\right) $$
R
D
s
0
∗
.
Publisher
Springer Science and Business Media LLC
Subject
Nuclear and High Energy Physics
Cited by
1 articles.
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1. A guide to the QCD light-cone sum rules for b-quark decays;The European Physical Journal Special Topics;2023-12-11