Finite Naturalness and Quark-Lepton Unification

Fuente: arXiv
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Main Authors: Perez, Pavel Fileviez, Murgui, Clara, Patrone, Samuel, Testa, Adriano, Wise, Mark B.
Format: Preprint
Published: 2023
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author Perez, Pavel Fileviez
Murgui, Clara
Patrone, Samuel
Testa, Adriano
Wise, Mark B.
author_facet Perez, Pavel Fileviez
Murgui, Clara
Patrone, Samuel
Testa, Adriano
Wise, Mark B.
contents We study the implications of finite naturalness in Pati-Salam models where $SU(3)_C$ is embedded in $SU(4)$. For the minimal realization at low-scale of quark-lepton unification, which employs the inverse seesaw for neutrino masses, we find that radiative corrections to the Higgs boson mass are at least $δm_h^2 / m_h^2 \sim {\cal O}(10^4)$. The one-loop contributions to the Higgs mass are suppressed by four powers of the hypercharge gauge coupling. We find that for the vector leptoquarks the naively leading part of the two-loop corrections cancel. We assume the Dirac Yukawa couplings for neutrinos are equal to the up-type quark Yukawa couplings as predicted in the minimal theory for quark-lepton unification. Despite these findings, the two-loop corrections still dominate the finite naturalness bound. We mention a way to relax the lower bound on the vector leptoquark mass and have $δm_h^2 / m_h^2 \sim {\cal O}(10^2)$.
format Preprint
id arxiv_https___arxiv_org_abs_2308_07367
institution arXiv
publishDate 2023
record_format arxiv
spellingShingle Finite Naturalness and Quark-Lepton Unification
Perez, Pavel Fileviez
Murgui, Clara
Patrone, Samuel
Testa, Adriano
Wise, Mark B.
High Energy Physics - Phenomenology
We study the implications of finite naturalness in Pati-Salam models where $SU(3)_C$ is embedded in $SU(4)$. For the minimal realization at low-scale of quark-lepton unification, which employs the inverse seesaw for neutrino masses, we find that radiative corrections to the Higgs boson mass are at least $δm_h^2 / m_h^2 \sim {\cal O}(10^4)$. The one-loop contributions to the Higgs mass are suppressed by four powers of the hypercharge gauge coupling. We find that for the vector leptoquarks the naively leading part of the two-loop corrections cancel. We assume the Dirac Yukawa couplings for neutrinos are equal to the up-type quark Yukawa couplings as predicted in the minimal theory for quark-lepton unification. Despite these findings, the two-loop corrections still dominate the finite naturalness bound. We mention a way to relax the lower bound on the vector leptoquark mass and have $δm_h^2 / m_h^2 \sim {\cal O}(10^2)$.
title Finite Naturalness and Quark-Lepton Unification
topic High Energy Physics - Phenomenology
url https://arxiv.org/abs/2308.07367