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

• Fulltext

https://www.ias.ac.in/article/fulltext/pram/046/01/0041-0050

• Keywords

Left right symmetry; gauge bosons

• Abstract

An estimation of the mass difference of$$B_d^0 - \bar B_d^0$$ system with heavy quark symmetry formalism is presented. The effective Hamiltonian describing the transition$$\bar hd \leftrightarrow h\bar d$$ (whereh=b forBd0-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 〈Bd0|ℋeff(x)|$$\bar B_d^0$$d0〉 in terms of Isgur-Wise function. Assuming thatBd0 and$$\bar B_d^0$$ states are at rest, we find that Isgur-Wise function turns out to be unity. However using the experimental values of ΔMK and$$\Delta M_{B_4 }$$ as input, we find thatMR=835 GeV andMH⩾2·9 TeV.

• Author Affiliations

1. Physics Department, Utkal University, Bhubaneswar - 751 004, India

• Pramana – Journal of Physics

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Volume 93 | Issue 5
November 2019

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Posted on July 25, 2019