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QEDr: a finite-volume QED action with redistributed spatial zero-momentum modes

2025/01/14 by Matteo Di Carlo, Maxwell T. Hansen, Di Carlo, Matteo +5 · 2 citations
Physics and Astronomy · #Advanced Fiber Laser Technologies #Cold Atom Physics and Bose-Einstein Condensates #FOS: Physical sciences #High Energy Physics - Lattice (hep-lat) #Orbital Angular Momentum in Optics

paper · pdf · doi:10.48550/arxiv.2501.07936

openalex publication_date 2025/01/14 · openalex created_date 2025/01/17 · openalex updated_date 2026/08/03

Abstract

We present a finite-volume QED action designed to improve the infinite-volume extrapolation of hadronic observables in precision lattice QCD+QED calculations. The action proposed in this work, which we call QEDr, can be seen as a particular case of the infrared-improved QED actions introduced by Davoudi et al. in 2019, and is specifically designed to remove kinematics-independent finite-volume corrections that appear at O(1/L3) in the commonly used QEDL formulation, where L is the spatial extent of the physical volume. For a number of key observables, these effects depend on the internal structure of the hadrons and are difficult to evaluate non-perturbatively, making an analytical subtraction of the finite-volume effects impractical. We explicitly study the QEDr electromagnetic finite-size effects on hadron masses and leptonic decay rates, relevant for Standard Model precision tests using the Cabibbo-Kobayashi-Maskawa matrix elements. In addition, we propose methods to remove the kinematics-dependent O(1/L3) effects in leptonic decays. The removal of such contributions, shifting the leading contamination to O(1/L4), will help to reduce the systematic uncertainties associated with finite-volume effects in future lattice QCD+QED calculations.

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