Resolving the Ultracollinear Paradox with Effective Field Theory

Fuente: arXiv
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Autori principali: Baumgart, Matthew, Christeas, Panagiotis
Natura: Preprint
Pubblicazione: 2024
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author Baumgart, Matthew
Christeas, Panagiotis
author_facet Baumgart, Matthew
Christeas, Panagiotis
contents Naive intuition about scale decoupling breaks down in the presence of fermion masses. Kinematic enhancements can greatly extend the range where one needs to keep a finite mass in calculations to obtain a correct result at even the O(1) level. Treating a light fermion as massive though, leads to a known but somewhat obscure paradox, a seeming leading-order sensitivity to an arbitrarily small mass. We show how a proper formulation in effective field theory not only resolves the physical conundrum, but answers the very practical question of when fermion masses are required. This has important implications for the development of shower Monte Carlo above the weak scale.
format Preprint
id arxiv_https___arxiv_org_abs_2402_16961
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Resolving the Ultracollinear Paradox with Effective Field Theory
Baumgart, Matthew
Christeas, Panagiotis
High Energy Physics - Phenomenology
High Energy Physics - Theory
Nuclear Theory
Naive intuition about scale decoupling breaks down in the presence of fermion masses. Kinematic enhancements can greatly extend the range where one needs to keep a finite mass in calculations to obtain a correct result at even the O(1) level. Treating a light fermion as massive though, leads to a known but somewhat obscure paradox, a seeming leading-order sensitivity to an arbitrarily small mass. We show how a proper formulation in effective field theory not only resolves the physical conundrum, but answers the very practical question of when fermion masses are required. This has important implications for the development of shower Monte Carlo above the weak scale.
title Resolving the Ultracollinear Paradox with Effective Field Theory
topic High Energy Physics - Phenomenology
High Energy Physics - Theory
Nuclear Theory
url https://arxiv.org/abs/2402.16961