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Relativistic, model-independent determination of electromagnetic finite-size effects beyond the point-like approximation

2021/09/10 by M. Di Carlo, Maxwell T. Hansen, Di Carlo, M. +5
Engineering · Physics and Astronomy · #Particle Accelerators and Free-Electron Lasers #Particle accelerators and beam dynamics #Atomic and Molecular Physics

paper · pdf · doi:10.48550/arxiv.2109.05002

Abstract

We present a relativistic and model-independent method to derive structure-dependent electromagnetic finite-size effects. This is a systematic procedure, particularly well-suited for automatization, which works at arbitrarily high orders in the large-volume expansion. Structure-dependent coefficients appear as zero-momentum derivatives of physical form factors which can be obtained through experimental measurements or auxiliary lattice calculations. As an application we derive the electromagnetic finite-size effects on the pseudoscalar meson mass and leptonic decay amplitude, through orders O(1/L3) and O(1/L2), respectively. The structure dependence appears at this order through the meson charge radius and the real radiative leptonic amplitude, which are known experimentally.

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