Exclusive rare semileptonic decays of B and B_c mesons in the relativistic independent quark model

2024/10/09 by Dash, Kalpalata, Dash, P. C., Panda, R. N. +2
#FOS: Physical sciences #High Energy Physics - Phenomenology (hep-ph) #Nuclear Theory (nucl-th)

paper · doi:10.48550/arxiv.2410.06951

Abstract

We investigate the exclusive rare semileptonic decays: B(B_c)→ K(D_(s))ll/Σν_lν_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: q²_min≤ 0≤ q²_max. Our predicted branching fractions for B→ Kμ⁺μ^-/τ⁺τ^-(Σν_lν_l), B_c→ D(D_s)μ⁺μ^-, B_c→ D(D_s)τ⁺τ^- and B_c→ D(D_s)Σν_lν_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 ⟨ P_L(B→ Kμ⁺μ^-)⟩=-0.97, ⟨ P_L(B_c→ D_(s)μ⁺μ^-)⟩=-0.972, ⟨ P_L(B→ Kτ⁺τ^-)⟩=-0.224, ⟨ P_L(B_c→ Dτ⁺τ^-)⟩=-0.275 and ⟨ P_L(B_c→ D_sτ⁺τ^-)⟩=-0.194.

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