Completely asymptotically free chiral theories with scalars

Fuente: arXiv
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Autores principales: Cacciapaglia, Giacomo, Sannino, Francesco, Wagner, Sophie
Formato: Preprint
Publicado: 2026
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author Cacciapaglia, Giacomo
Sannino, Francesco
Wagner, Sophie
author_facet Cacciapaglia, Giacomo
Sannino, Francesco
Wagner, Sophie
contents We provide the conditions for complete asymptotic freedom for chiral gauge theories including scalars, as motivated by grand unified models. These are generalised Georgi-Glashow and Bars-Yankielowicz theories that feature a scalar field transforming either in the fundamental or in the adjoint of the gauge group. In both scenarios, we consider the addition of multiple chiral fermion families. We systematically analyse the interplay between gauge, Yukawa, and quartic couplings required for all interactions to remain asymptotically free at short distances. We find that for both scalar representations, complete asymptotic free models can be obtained for a specific number of colours and multiplicity of vector-like and chiral families.
format Preprint
id arxiv_https___arxiv_org_abs_2605_08294
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Completely asymptotically free chiral theories with scalars
Cacciapaglia, Giacomo
Sannino, Francesco
Wagner, Sophie
High Energy Physics - Theory
High Energy Physics - Lattice
High Energy Physics - Phenomenology
We provide the conditions for complete asymptotic freedom for chiral gauge theories including scalars, as motivated by grand unified models. These are generalised Georgi-Glashow and Bars-Yankielowicz theories that feature a scalar field transforming either in the fundamental or in the adjoint of the gauge group. In both scenarios, we consider the addition of multiple chiral fermion families. We systematically analyse the interplay between gauge, Yukawa, and quartic couplings required for all interactions to remain asymptotically free at short distances. We find that for both scalar representations, complete asymptotic free models can be obtained for a specific number of colours and multiplicity of vector-like and chiral families.
title Completely asymptotically free chiral theories with scalars
topic High Energy Physics - Theory
High Energy Physics - Lattice
High Energy Physics - Phenomenology
url https://arxiv.org/abs/2605.08294