Exclusive rare semileptonic decays of $B$ and $B_c$ mesons in the relativistic independent quark model
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2024
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| _version_ | 1866914969027608576 |
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| author | Dash, Kalpalata Dash, P. C. Panda, R. N. Kar, Susmita Barik, N. |
| author_facet | Dash, Kalpalata Dash, P. C. Panda, R. N. Kar, Susmita Barik, N. |
| contents | We investigate the exclusive rare semileptonic decays: $B(B_c)\to K(D_{(s)})l\bar{l}/Σν_l\bar{ν_l}$ ($l=μ, τ$) in the framework of relativistic independent quark (RIQ) model based on an average flavor independent confining potential in equally mixed scalar-vector harmonic form. The invariant weak form factors, parametrising the matrix elements between participating meson states are calculated in the parent meson rest frame. The momentum transfer dependence of the form factors is reliably determined in the whole accessible kinematical range: $q^2_{min}\leq 0\leq q^2_{max}$. Our predicted branching fractions for $B\to Kμ^+μ^-/τ^+τ^-(Σν_l\bar{ν_l})$, $B_c\to D(D_s)μ^+μ^-$, $B_c\to D(D_s)τ^+τ^-$ and $B_c\to D(D_s)Σν_l\bar{ν_l}$, obtained in order of $10^{-7}(10^{-6})$, $10^{-9}(10^{-7})$, $10^{-9}(10^{-8})$ and $10^{-8}(10^{-7})$, respectively are in reasonable agreement with other Standard Model predictions and Lattice QCD results. The averaged values of the lepton polarization asymmetries for decay modes are obtained as $\langle P_L(B\to Kμ^+μ^-)\rangle$=-0.97, $\langle P_L(B_c\to D_{(s)}μ^+μ^-)\rangle$=-0.972, $\langle P_L(B\to Kτ^+τ^-)\rangle$=-0.224, $\langle P_L(B_c\to Dτ^+τ^-)\rangle$=-0.275 and $\langle P_L(B_c\to D_sτ^+τ^-)\rangle$=-0.194. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2410_06951 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Exclusive rare semileptonic decays of $B$ and $B_c$ mesons in the relativistic independent quark model Dash, Kalpalata Dash, P. C. Panda, R. N. Kar, Susmita Barik, N. High Energy Physics - Phenomenology Nuclear Theory We investigate the exclusive rare semileptonic decays: $B(B_c)\to K(D_{(s)})l\bar{l}/Σν_l\bar{ν_l}$ ($l=μ, τ$) in the framework of relativistic independent quark (RIQ) model based on an average flavor independent confining potential in equally mixed scalar-vector harmonic form. The invariant weak form factors, parametrising the matrix elements between participating meson states are calculated in the parent meson rest frame. The momentum transfer dependence of the form factors is reliably determined in the whole accessible kinematical range: $q^2_{min}\leq 0\leq q^2_{max}$. Our predicted branching fractions for $B\to Kμ^+μ^-/τ^+τ^-(Σν_l\bar{ν_l})$, $B_c\to D(D_s)μ^+μ^-$, $B_c\to D(D_s)τ^+τ^-$ and $B_c\to D(D_s)Σν_l\bar{ν_l}$, obtained in order of $10^{-7}(10^{-6})$, $10^{-9}(10^{-7})$, $10^{-9}(10^{-8})$ and $10^{-8}(10^{-7})$, respectively are in reasonable agreement with other Standard Model predictions and Lattice QCD results. The averaged values of the lepton polarization asymmetries for decay modes are obtained as $\langle P_L(B\to Kμ^+μ^-)\rangle$=-0.97, $\langle P_L(B_c\to D_{(s)}μ^+μ^-)\rangle$=-0.972, $\langle P_L(B\to Kτ^+τ^-)\rangle$=-0.224, $\langle P_L(B_c\to Dτ^+τ^-)\rangle$=-0.275 and $\langle P_L(B_c\to D_sτ^+τ^-)\rangle$=-0.194. |
| title | Exclusive rare semileptonic decays of $B$ and $B_c$ mesons in the relativistic independent quark model |
| topic | High Energy Physics - Phenomenology Nuclear Theory |
| url | https://arxiv.org/abs/2410.06951 |