The Higgs Trilinear Coupling and the Scale of New Physics for the SM-Axion-Seesaw-Higgs Portal Inflation (SMASH) Model

In the extended scalar sector of the SMASH (Standard Model - Axion-Seesaw-Higgs portal inflation) framework, we conduct a phenomenological investigation of the observable effects. In a suitable region of the SMASH scalar parameter spaces, we solve the vacuum metastability problem and discuss the one...

Full description

Bibliographic Details
Main Authors: C.R. Das, Katri Huitu, Timo J. Kärkkäinen
Format: Article
Language:English
Published: MDPI AG 2023-01-01
Series:Universe
Subjects:
Online Access:https://www.mdpi.com/2218-1997/9/1/43
_version_ 1827621484899598336
author C.R. Das
Katri Huitu
Timo J. Kärkkäinen
author_facet C.R. Das
Katri Huitu
Timo J. Kärkkäinen
author_sort C.R. Das
collection DOAJ
description In the extended scalar sector of the SMASH (Standard Model - Axion-Seesaw-Higgs portal inflation) framework, we conduct a phenomenological investigation of the observable effects. In a suitable region of the SMASH scalar parameter spaces, we solve the vacuum metastability problem and discuss the one-loop correction to the triple Higgs coupling, <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msub><mi>λ</mi><mrow><mi>H</mi><mi>H</mi><mi>H</mi></mrow></msub></semantics></math></inline-formula>. The <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msub><mi>λ</mi><mrow><mi>H</mi><mi>H</mi><mi>H</mi></mrow></msub></semantics></math></inline-formula> and SM Higgs quartic coupling <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msub><mi>λ</mi><mi>H</mi></msub></semantics></math></inline-formula> corrections are found to be proportional to the threshold correction. A large <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msub><mi>λ</mi><mrow><mi>H</mi><mi>H</mi><mi>H</mi></mrow></msub></semantics></math></inline-formula> correction (≳5%) implies vacuum instability in the model and thus limits the general class of theories that use threshold correction. We performed a full two-loop renormalization group analysis of the SMASH model. The SMASH framework has also been used to estimate the evolution of lepton asymmetry in the universe.
first_indexed 2024-03-09T11:05:11Z
format Article
id doaj.art-752f0151584b4722bfed9a5b2cfb2cec
institution Directory Open Access Journal
issn 2218-1997
language English
last_indexed 2024-03-09T11:05:11Z
publishDate 2023-01-01
publisher MDPI AG
record_format Article
series Universe
spelling doaj.art-752f0151584b4722bfed9a5b2cfb2cec2023-12-01T00:59:23ZengMDPI AGUniverse2218-19972023-01-01914310.3390/universe9010043The Higgs Trilinear Coupling and the Scale of New Physics for the SM-Axion-Seesaw-Higgs Portal Inflation (SMASH) ModelC.R. Das0Katri Huitu1Timo J. Kärkkäinen2Bogoliubov Laboratory of Theoretical Physics, Joint Institute for Nuclear Research – International Intergovernmental Organization, Joliot-Curie 6, 141980 Dubna, Moscow Region, RussiaDepartment of Physics and Helsinki Institute of Physics, University of Helsinki, P.O. Box 64, FI-00014 Helsinki, FinlandLaboratory of High Energy and Computational Physics, National Institute of Chemical Physics and Biophysics, Rävala 10, 10143 Tallinn, EstoniaIn the extended scalar sector of the SMASH (Standard Model - Axion-Seesaw-Higgs portal inflation) framework, we conduct a phenomenological investigation of the observable effects. In a suitable region of the SMASH scalar parameter spaces, we solve the vacuum metastability problem and discuss the one-loop correction to the triple Higgs coupling, <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msub><mi>λ</mi><mrow><mi>H</mi><mi>H</mi><mi>H</mi></mrow></msub></semantics></math></inline-formula>. The <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msub><mi>λ</mi><mrow><mi>H</mi><mi>H</mi><mi>H</mi></mrow></msub></semantics></math></inline-formula> and SM Higgs quartic coupling <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msub><mi>λ</mi><mi>H</mi></msub></semantics></math></inline-formula> corrections are found to be proportional to the threshold correction. A large <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msub><mi>λ</mi><mrow><mi>H</mi><mi>H</mi><mi>H</mi></mrow></msub></semantics></math></inline-formula> correction (≳5%) implies vacuum instability in the model and thus limits the general class of theories that use threshold correction. We performed a full two-loop renormalization group analysis of the SMASH model. The SMASH framework has also been used to estimate the evolution of lepton asymmetry in the universe.https://www.mdpi.com/2218-1997/9/1/43Higgs portal inflationbeyond the standard modelSMASHHiggs triple couplingHiggs trilinear coupling
spellingShingle C.R. Das
Katri Huitu
Timo J. Kärkkäinen
The Higgs Trilinear Coupling and the Scale of New Physics for the SM-Axion-Seesaw-Higgs Portal Inflation (SMASH) Model
Universe
Higgs portal inflation
beyond the standard model
SMASH
Higgs triple coupling
Higgs trilinear coupling
title The Higgs Trilinear Coupling and the Scale of New Physics for the SM-Axion-Seesaw-Higgs Portal Inflation (SMASH) Model
title_full The Higgs Trilinear Coupling and the Scale of New Physics for the SM-Axion-Seesaw-Higgs Portal Inflation (SMASH) Model
title_fullStr The Higgs Trilinear Coupling and the Scale of New Physics for the SM-Axion-Seesaw-Higgs Portal Inflation (SMASH) Model
title_full_unstemmed The Higgs Trilinear Coupling and the Scale of New Physics for the SM-Axion-Seesaw-Higgs Portal Inflation (SMASH) Model
title_short The Higgs Trilinear Coupling and the Scale of New Physics for the SM-Axion-Seesaw-Higgs Portal Inflation (SMASH) Model
title_sort higgs trilinear coupling and the scale of new physics for the sm axion seesaw higgs portal inflation smash model
topic Higgs portal inflation
beyond the standard model
SMASH
Higgs triple coupling
Higgs trilinear coupling
url https://www.mdpi.com/2218-1997/9/1/43
work_keys_str_mv AT crdas thehiggstrilinearcouplingandthescaleofnewphysicsforthesmaxionseesawhiggsportalinflationsmashmodel
AT katrihuitu thehiggstrilinearcouplingandthescaleofnewphysicsforthesmaxionseesawhiggsportalinflationsmashmodel
AT timojkarkkainen thehiggstrilinearcouplingandthescaleofnewphysicsforthesmaxionseesawhiggsportalinflationsmashmodel
AT crdas higgstrilinearcouplingandthescaleofnewphysicsforthesmaxionseesawhiggsportalinflationsmashmodel
AT katrihuitu higgstrilinearcouplingandthescaleofnewphysicsforthesmaxionseesawhiggsportalinflationsmashmodel
AT timojkarkkainen higgstrilinearcouplingandthescaleofnewphysicsforthesmaxionseesawhiggsportalinflationsmashmodel