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Publication Information
Title Prospects for $\gamma^\star \gamma^\star \to \pi \pi$ via lattice QCD
Abstract The $\gamma^\star \gamma^\star \to \pi \pi$ 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 $3\pi$ states can go on shell, and is exact up to exponentially small corrections that scale like $\mathcal{O}(e^{-m_\pi L})$, where $L$ is the spatial extent of the cubic volume and $m_\pi$ is the pion mass. In order to implement this formalism and remove all power-law finite volume errors, it is necessary to first obtain $\pi \pi \to \pi\pi$, $\pi \gamma^\star \to \pi$, $\gamma^\star \to\pi\pi$, and $\pi\pi\gamma^\star \to\pi\pi$ amplitudes; all of w
Author(s) Raul Briceno, Andrew Jackura, Arkaitz Rodas, Juan Guerrero Teran
Publication Date February 2023
Document Type Journal Article
Primary Institution Thomas Jefferson National Accelerator Facility, Newport News
Affiliation Theory & Comp Physics / THEORY CENTER / THEORY CENTER
Funding Source Nuclear Physics (NP), DE-AC05-06OR23177, DE-SC0019229, DE-SC0018416
Proprietary? No
This publication conveys Technical Science Results
Document Numbers
JLAB Number: JLAB-THY-22-3727 OSTI Number: 1959169
LANL Number: Other Number: DOE/OR/23177-5624
Associated with an experiment No
Associated with EIC No
Supported by Jefferson Lab LDRD Funding Yes
LDRD Number(s)
2021-LDRD-17
Journal Article
Journal Name Physical Review D
Refereed No
Volume 107
Issue
Page(s) 034504
Attachments/Datasets/DOI Link
Document(s)
gamma_gamma_to_pi_pi2.pdf (STI Document)
PhysRevD.107.034504.pdf (Accepted Manuscript)
PhysRevD.107.034504.pdf (Accepted Manuscript)
DOI Link
Dataset(s) (none)
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