Predictions for the beauty meson spectrum

TL;DR

This paper predicts the spectrum of beauty mesons using an effective field theory approach that combines heavy quark and chiral perturbation theories, incorporating full corrections and fitting counterterms with existing data.

Contribution

It introduces a novel mass formalism for beauty mesons that includes comprehensive leading corrections and uses charm sector data to predict unobserved beauty meson states.

Findings

Accurately reproduces known beauty meson spectrum

Provides predictions for missing scalar and axial-vector beauty mesons

Offers theoretical guidance for future experimental searches

Abstract

We predict the spectrum of the four $1S$ and eight $1P$ nonstrange and strange states in the beauty meson family in the context of effective field theory. By the union of heavy quark effective theory and chiral perturbation theory, the mass formalisms for the heavy-light mesons are defined. Our analysis uses mass expressions involving, for the first time, the full leading self-energy corrections and leading power corrections to the heavy quark and chiral limits. The counterterms present in these expressions are fitted using available experimental and theoretical information on the charmed meson masses and couplings. The results from charm sector are used to make theoretical expectations on the analog beauty meson spectrum. The observed spectrum of the ground state, $B^{(*)}_{(s)}$, and excited, $B_{(s)1}$ and $B^*_{(s)2}$, beauty mesons are well reproduced in our theoretical calculations. The excited scalar, $B^*_{(s)0}$, and axial-vector, $B^\prime_{(s)1}$, beauty mesons have not yet been discovered. Hopefully our predictions may provide valuable clues to further experimental exploration of these missing resonances.