Document Type
Article
Publication Date
2023
DOI
10.1103/PhysRevD.107.034504
Publication Title
Physical Review D
Volume
107
Issue
3
Pages
034504 (1-21)
Abstract
The πΎ*πΎ* β ππ scattering amplitude plays a key role in a wide range of phenomena, including understanding the inner structure of scalar resonances as well as constraining the hadronic contributions to the anomalous magnetic moment of the muon. In this work, we explain how the infinite-volume Minkowski amplitude can be constrained from finite-volume Euclidean correlation functions. The relationship between the finite-volume Euclidean correlation functions and the desired amplitude holds up to energies where 3π states can go on shell, and is exact up to exponentially small corrections that scale like πͺ(eβmπL), where L is the spatial extent of the cubic volume and mπ is the pion mass. In order to implement this formalism and remove all power-law finite volume errors, it is necessary to first obtain ππβππ, ππΎββπ, πΎββππ, and πππΎββππ amplitudes; all of which can be determined via lattice quantum chromodynamic calculations.
Rights
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 author(s) and the published articleβs title, journal citation, and DOI. Funded by SCOAP3.
Original Publication Citation
BriceΓ±o, R.A., Jackura, A.W., Rodas, A., & Guerrero, J.V. (2023). Prospects for πΎ*πΎ* β ππ via lattice QCD. Physical Review D, 107(3), 1-21, Article 034504. https://doi.org/10.1103/PhysRevD.107.034504
ORCID
0000-0003-1109-1473 (BriceΓ±o), 0000-0002-3249-5410 (Jackura)
Repository Citation
BriceΓ±o, RaΓΊl; Jackura, Andrew W.; Rodas, Arkaitz; and Guerrero, Juan V., "Prospects For πΎ*πΎ* β ππ Via Lattice QCD" (2023). Physics Faculty Publications. 755.
https://digitalcommons.odu.edu/physics_fac_pubs/755
Included in
Elementary Particles and Fields and String Theory Commons, Nuclear Commons, Quantum Physics Commons