Abstract
We investigate the inverse moment of the Bs-meson light-cone distribution amplitude (LCDA), denoted as \( {\lambda}_{B_s} \) and defined within the heavy quark effective theory, through the calculation of Bs → ηs form factors. The presence of the s-quark inside the Bs-meson dictates a notable departure of approximately 20% in the \( {\lambda}_{B_s} \) value compared to the non-strange case \( {\lambda}_{B_q} \), as computed within the QCD sum rule approach, albeit with significant uncertainty. First, we compute the decay constant of the ηs-meson utilizing two-point sum rules while retaining finite s-quark mass contributions. Next, we constrain the parameter \( {\lambda}_{B_s} \) by calculating Bs → ηs form factors within the light-cone sum rule approach, using Bs-meson LCDAs, and leveraging Lattice QCD estimates at zero momentum transfer from the HPQCD collaboration. Our findings yield \( {\lambda}_{B_s} \) = 480 ± 92 MeV when expressing the Bs-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 \( {\lambda}_{B_s} \) value, with earlier analyses for other channels such as Bs → Ds and Bs → K.
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Acknowledgments
R.M. acknowledges SERB Grant SPG/2022/001238 for the support. I.R.’s work receives support from the IIT Gandhinagar Research and Development Grant IP/IITGN//PHY/RM/2223/11.
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Mandal, R., Patil, P.S. & Ray, I. Probing the inverse moment of Bs-meson distribution amplitude via Bs → ηs form factors. J. High Energ. Phys. 2024, 212 (2024). https://doi.org/10.1007/JHEP06(2024)212
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DOI: https://doi.org/10.1007/JHEP06(2024)212