Higgs boson decay to the pair of S- and P-wave $B_c$ mesons

TL;DR

This paper studies the rare decay of the Higgs boson into pairs of S- and P-wave B_c mesons, incorporating relativistic effects and quark motion to improve decay width predictions within the Standard Model.

Contribution

It introduces a relativistic quark model approach with projection operators to accurately calculate Higgs decay amplitudes into B_c mesons, including relativistic corrections.

Findings

Decay widths depend significantly on relativistic corrections.

Relativistic effects are numerically evaluated within the quark model.

The method enhances precision in Higgs decay predictions to heavy mesons.

Abstract

We investigate the rare production of the pair of $S-$ and $P-$ wave $B_c$-meson in the Higgs boson decay in the perturbative Standard Model and relativistic quark model. Relativistic amplitudes and decay widths are constructed with the account of the relative motion of heavy quarks forming $B_c$ mesons. When constructing the Higgs boson decay amplitudes, the method of projection operators on the $S-$ and $P-$wave states of quarks is used. Relativistic corrections are expressed in terms of special relativistic parameters and are calculated numerically in the quark model. The dependence of the decay widths of the Higgs boson on various sources of relativistic corrections is investigated.