Predictions for the beauty meson spectrum

Mohammad H Alhakami

doi:10.1103/physrevd.103.034009

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.

Highlights

The physics of heavy-light mesons is well described by heavy quark symmetry
Heavy-light mesons can be organized in doublets of two states with total angular momentum JÆ 1⁄4 sl Æ sQ and parity ð−1Þlþ1, where sl
Our focus is on the heavy meson doublets corresponding to l 1⁄4 0, 1

Summary

INTRODUCTION

The physics of heavy-light mesons is well described by heavy quark symmetry. In the heavy quark (HQ) limit, mQ ≫ ΛQCD, the spin of the heavy quark, sQ, decouples from the spin of the light degrees of freedom (light antiquarks and gluons), sl, and both separately become conserved in the strong interaction processes. 1þ 2 doublets and corrections due to chiral and heavy quark symmetry breakings are considered in our study in [2]. 3þ 2 states, including full one-loop corrections and corrections due to chiral and heavy quark symmetry breaking terms. Accurate predictions on the excited beauty meson masses, other leading power corrections to HQ limit of the form OðΛQCD=mc − ΛQCD=mbÞ are needed. In this work, these missing corrections, which give rise the correct mass splittings among the different doublets in the predicted beauty meson spectrum, are properly included to the beauty meson masses.

MASS FORMALISMS

RESULTS AND DISCUSSION

CONCLUSIONS