Low-energy constants of heavy meson effective theory in lattice QCD

Mohammad H Alhakami

doi:10.1103/physrevd.98.016008

Mohammad H Alhakami

Open Access

https://doi.org/10.1103/physrevd.98.016008

Copy DOI

Abstract

We consider effective theory treatment for the lowest-lying $S$- and $P$-wave states of charmed mesons. In our analysis, quantum corrections and contributions from leading chiral and heavy quark symmetry breakings are taken into account. The heavy meson mass expressions have abundance parameters, low-energy constants, in comparison to the measured charmed mesons masses. The experimental and lattice QCD data on charmed meson spectroscopy are used to extract, for the first time, the numerical values of the full set of low-energy constants of the effective chiral Lagrangian. Our results on these parameters can be used for applications on other properties of heavy-light meson systems.

Highlights

The properties of heavy-light meson systems can be well described using heavy meson chiral perturbation theory (HMχPT). This approach, which is formulated by combining chiral perturbation theory and heavy quark effective theory, can be used in a systematic way to calculate the corrections from chiral and heavy quark symmetry breakings
The theory at this, third, order has a large number of unknown low-energy constants (LECs) in comparison to the charmed meson spectrum, and a unique fit for them using nonlinear fitting is impossible as concluded in Refs. [6,7]
It is based on reducing their number in fit, which is done by grouping them into certain linear combinations that equal the number of charmed meson masses, and evaluating the one-loop corrections using physical masses, which, unlike previous approaches, ensures that the imaginary parts of loop functions are consistent with the experimental widths of the charmed mesons

Summary

INTRODUCTION

The properties of heavy-light meson systems can be well described using heavy meson chiral perturbation theory (HMχPT). [8] to predict the spectrum of analog bottom mesons It is pointed out in our previous work that to separate the combinations of the LECs into pieces that respect and break chiral symmetry, lattice QCD (LQCD) information on charmed mesons ground and excited states with different quark masses are required. It relies on making constraints on certain combinations of LECs using the charmed meson spectrum and utilizing lattice data on charmed mesons ground and excited states to disentangle chirally symmetric LECs from chiral breaking terms. In a compact form, the residual charmed meson mass [10] is

ΔðAaÞmq þ

According to the power counting rules employed in

RESULTS AND CONCLUSION