Probing the inverse moment of Bs-meson distribution amplitude via Bs→ ηs form factors

A bstract We investigate the inverse moment of the B s -meson light-cone distribution amplitude (LCDA), denoted as λ B s and defined within the heavy quark effective theory, through the calculation of B s → η s form factors. The presence of the s -quark inside the B s -meson dictates a notable depar...

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Bibliographic Details
Published in:	The journal of high energy physics Vol. 2024; no. 6; p. 212
Main Authors:	Mandal, Rusa, Patil, Praveen S, Ray, Ipsita
Format:	Journal Article
Language:	English
Published:	Berlin/Heidelberg Springer Berlin Heidelberg 28-06-2024 Springer Nature B.V
Subjects:	Amplitudes Classical and Quantum Gravitation Collaboration Decay rate Elementary Particles Estimates Form factors Light Momentum transfer Numerical analysis Physics Physics and Astronomy Quantum chromodynamics Quantum Field Theories Quantum Field Theory Quantum Physics Quarks Regular Article - Theoretical Physics Relativity Theory String Theory Sum rules Uncertainty Hadronic Matrix Elements and Weak Decays Lattice QCD Bottom Quarks Semi-Leptonic Decays
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Summary:	A bstract We investigate the inverse moment of the B s -meson light-cone distribution amplitude (LCDA), denoted as λ B s and defined within the heavy quark effective theory, through the calculation of B s → η s form factors. The presence of the s -quark inside the B s -meson dictates a notable departure of approximately 20% in the λ B s value compared to the non-strange case λ B q , as computed within the QCD sum rule approach, albeit with significant uncertainty. First, we compute the decay constant of the η s -meson utilizing two-point sum rules while retaining finite s -quark mass contributions. Next, we constrain the parameter λ B s by calculating B s → η s form factors within the light-cone sum rule approach, using B s -meson LCDAs, and leveraging Lattice QCD estimates at zero momentum transfer from the HPQCD collaboration. Our findings yield λ B s = 480 ± 92 MeV when expressing the B s -meson LCDAs in the Exponential model, consistent with previous QCD sum rule estimate yet exhibiting a 1.5-fold improvement in uncertainty. Furthermore, we compare the form factor predictions, based on the extracted λ B s value, with earlier analyses for other channels such as B s → D s and B s → K .
ISSN:	1029-8479 1029-8479
DOI:	10.1007/JHEP06(2024)212