Document Type

Article

Publication Date

2021

DOI

10.1103/PhysRevD.104.054509

Publication Title

Physical Review D

Volume

104

Issue

5

Pages

054509 (1-21)

Abstract

Whether one is interested in accessing the excited spectrum of hadrons or testing the standard model of particle physics, electroweak transition processes involving multihadron channels in the final state play an important role in a variety of experiments. Presently the primary theoretical tool with which one can study such reactions is lattice QCD, which is defined in a finite spacetime volume. In this work, we investigate the feasibility of implementing existing finite-volume formalism in realistic lattice QCD calculation of reactions in which a stable hadron can transition to one of several two-hadron channels under the action of an external current. We provide a conceptual description of the coupled-channel transition formalism, a practical road map for carrying out a calculation, and an illustration of the approach using synthetic data for two nontrivial resonant toy models. The results provide a proof of principle that such reactions can indeed be constrained using modern-day lattice QCD calculations, motivating explicit computation in the near future.

Comments

Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International (CC BY 4.0) license. Further distribution of this work must maintain attribution to the authors and the published articleā€™s title, journal citation, and DOI. Funded by SCOAP3.

Original Publication Citation

BriceƱo, R.A., Dudek, J.J., and Leskovec, L. (2021) Constraining 1 + š’„ ā†’ 2 coupled-channel amplitudes in a finite volume. Physical Review D, 104(5), 1-21, Article 054509. https://doi.org/10.1103/PhysRevD.104.054509

ORCID

0000-0003-1109-1473 (BriceƱo), 0000-0002-8926-527X (Leskovec)

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