Heavy-Light Mesons on the Light Front

TL;DR

This paper employs basis light-front quantization to study heavy-light mesons, achieving reasonable agreement with experimental mass spectra and providing predictions for future measurements, along with calculations of wave functions and decay constants.

Contribution

It introduces a light-front formalism approach to compute spectra, wave functions, and decay constants of heavy-light mesons, offering new predictions and ratios for experimental validation.

Findings

Mass spectra agree with experiments within reasonable margins.

Predicted states could be observed in upcoming experiments.

Calculated decay constant ratios are systematically smaller than existing data by 5-18%.

Abstract

We study the heavy-light mesons within basis light-front quantization. The resulting mass spectra of $D$, $D_s$, $B$, and $B_s$ agree reasonably well with experiments. We also predict states which could be measured in the near future. In the light-front formalism, we calculate the light-front wave functions and additional experimental observables, such as parton distribution functions, distribution amplitudes, and decay constants by means of integrations over light-front wave functions. We also provide ratios of decay constants for selected pseudoscalar meson decays ($D_s$ to $D$ and $B_s$ to $B$) as they may prove to be theoretically more robust and more reliably determined in experiments. We find that our ratios are systematically smaller than existing experiment and other approaches by $5-18\%$.