Using Heavy Quark Spin Symmetry in Semileptonic $B_c$ Decays

TL;DR

This paper utilizes heavy quark spin symmetry to relate form factors in B_c semileptonic decays, computes them using a relativistic potential model, and discusses experimental tests of the symmetry.

Contribution

It introduces a method to relate form factors via heavy quark spin symmetry and provides quantitative predictions for B_c decay modes using a relativistic potential model.

Findings

Form factors related through heavy quark spin symmetry.

Predictions for semileptonic and non-leptonic B_c decays.

Discussion of experimental tests for the symmetry.

Abstract

The form factors parameterizing the B_c semileptonic matrix elements can be related to a few invariant functions if the decoupling of the spin of the heavy quarks in B_c and in the mesons produced in the semileptonic decays is exploited. We compute the form factors as overlap integral of the meson wave-functions obtained using a QCD relativistic potential model, and give predictions for semileptonic and non-leptonic B_c decay modes. We also discuss possible experimental tests of the heavy quark spin symmetry in B_c decays.