Role of the Right-Handed Neutrino in B_c⁺ → B_sμ⁺ν_μ Decay

¹ Malaviya National Institute of Technology Jaipur, Jaipur 302017 Rajasthan, India
² Department of Physics, University of Rajasthan, Jaipur 302004 Rajasthan, India

^* e-mail: 2020rpy9601@mnit.ac.in
^** e-mail: dineshsuman09@gmail.com
^*** e-mail: kavita.phy@mnit.ac.in

Published online: 20 November 2024

Abstract

We perform a model-independent study of c → sµν mediated transitions to analyze the new physics effects in the presence of right-handed neutrinos. We have adopted the effective field theory approach and write the lowenergy effective Hamiltonian including all possible dimension-six operators. The Wilson coefficients introduced through low energy effective Hamiltonian encode all New Physics that can enter in c → s transition at the dimension-six operator level. These Wilson coefficients are determined through a χ² fit by using the Miniut package to available experimental data of leptonic D_s⁺ → µ⁺ν_µ and semileptonic decays D⁰ → K⁻µ⁺ν_µ, D⁺ → K¯0µ⁺ν_µ and D⁰ → K^∗−µ⁺ν_µ, D⁺ → K¯∗0µ⁺ν_µ, D_s⁺ → φµ⁺ν_µ. The differential decay width of B_c⁺ → B_sµ⁺ν_µ is derived to investigate the role of right-handed neutrinos in the search for new physics through the three-body decay process. We also make the predictions of q² spectra for the mode B_c⁺ → B_sμ⁺ν_μ to inspect the effect of the allowed new physics in c → s sector through right-handed neutrinos to motivate the future measurements.