Effect of heavy quark symmetry on the mass difference of B-system in minimal left right symmetric model

Abstract

An estimation of the mass difference of B0d - B̄0d system with heavy quark symmetry formalism is presented. The effective Hamiltonian describing the transition h̄d↔hd̄ (where h = b for B0d-system) is considered in a manifest left right symmetric (MLRS) model along with contribution from neutral Higgs boson. We use the spin and flavor symmetry for heavy quarks to obtain the transition matrix element 〈B0d|ℋeff(x)|B̄0d in terms of Isgur-Wise function. Assuming that B0d and B̄0d states are at rest, we find that Isgur-Wise function turns out to be unity. However using the experimental values of ΔMK and ΔMB, as input, we find that MR = 835 GeV and MH ≥ 2·9 TeV.