Wick Rotation in the Light-Front
J.P.B.C. de Melo (Laboratorio de Fisica Teorica e Computacao, Cientifica, Universidade Cruzeiro do Sul, and Instituto de Fisica Teorica,, Brazil) E. Gambim, T. Frederico, (Dep. de Fisica, Instituto Tecnologico de, Aeronautica, 12.228-900, Sao Jose dos Campos, Brazil)

TL;DR
This paper introduces a Wick-rotation method in light-front dynamics to study electroweak properties of mesons, enabling analysis of form factors and decay constants with various Bethe-Salpeter models, and compares results with experimental data.
Contribution
It presents a novel Wick-rotation technique in light-front calculations that avoids complex plane cuts, allowing flexible modeling of meson structures and testing QCD asymptotic behaviors.
Findings
Successfully applied Wick-rotation to analyze meson form factors.
Demonstrated compatibility of models with experimental data.
Explored the impact of regulator powers on asymptotic behavior.
Abstract
We study the electroweak properties of pseudo-scalar mesons in the light and heavy-light sectors. In particular, we address the electromagnetic form factors and decay constants of the pion, kaon and D mesons. The structure of composite systems are given by the Bethe-Salpeter (BS) amplitude of a meson formed by a confined pair of constituent quark and antiquark, which in our work is written in terms of Pauli-Villars regulators. The analytical structure contains single poles in the complex momentum space. The BS amplitude takes into account poles due to the regulator parameters, while the quark-antiquark cut is avoided, implying in confined quarks with the property that the sum of the constituents masses can be larger than the mass of the meson. The one-loop expressions of the electroweak transition amplitudes are conveniently written in terms of light-front momentum. Technically, we…
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Taxonomy
TopicsQuantum Chromodynamics and Particle Interactions · Physics of Superconductivity and Magnetism · Particle physics theoretical and experimental studies
