https://doi.org/10.1140/epja/s10050-021-00660-z
Regular Article - Theoretical Physics
Higgs boson decay to the pair of S- and P-wave 
mesons
1
Institute of Cybernetics and Informatics in Education, FRC CSC RAS, Moscow, Russia
2
Samara University, Samara, Russia
Received:
12
October
2021
Accepted:
27
December
2021
Published online:
13
January
2022
We investigate rare production of the pair of S- and P-wave -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 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.
© The Author(s), under exclusive licence to Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2022
