Probing the inverse moment of $B_s$-meson distribution amplitude via $B_s \to η_s$ form factors
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arXiv
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| Format: | Preprint |
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2024
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| _version_ | 1866913415258177536 |
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| author | Mandal, Rusa Patil, Praveen S Ray, Ipsita |
| author_facet | Mandal, Rusa Patil, Praveen S Ray, Ipsita |
| contents | 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 $B_s \to η_s$ 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 $B_s \to η_s$ 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 $\pm$ 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 $B_s \to D_s$ and $B_s \to K$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2402_16737 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Probing the inverse moment of $B_s$-meson distribution amplitude via $B_s \to η_s$ form factors Mandal, Rusa Patil, Praveen S Ray, Ipsita High Energy Physics - Phenomenology High Energy Physics - Experiment High Energy Physics - Lattice 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 $B_s \to η_s$ 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 $B_s \to η_s$ 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 $\pm$ 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 $B_s \to D_s$ and $B_s \to K$. |
| title | Probing the inverse moment of $B_s$-meson distribution amplitude via $B_s \to η_s$ form factors |
| topic | High Energy Physics - Phenomenology High Energy Physics - Experiment High Energy Physics - Lattice |
| url | https://arxiv.org/abs/2402.16737 |