Higgs in nilpotent supergravity: Vacuum energy and Festina Lente

In this note we study supergravity models with constrained superfields. We construct a supergravity framework in which all (super)symmetry breaking dynamics happen in vacuum with naturally (or otherwise asymptotically) vanishing energy. Supersymmetry is generically broken in multiple sectors each of...

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Main Authors: Amineh Mohseni, Mahdi Torabian
Format: Article
Language:English
Published: Elsevier 2023-09-01
Series:Physics Letters B
Online Access:http://www.sciencedirect.com/science/article/pii/S0370269323004367
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author Amineh Mohseni
Mahdi Torabian
author_facet Amineh Mohseni
Mahdi Torabian
author_sort Amineh Mohseni
collection DOAJ
description In this note we study supergravity models with constrained superfields. We construct a supergravity framework in which all (super)symmetry breaking dynamics happen in vacuum with naturally (or otherwise asymptotically) vanishing energy. Supersymmetry is generically broken in multiple sectors each of them is parametrized by a nilpotent goldstino superfield. Dynamical fields (the Higgs, inflaton, etc) below the supersymmetry breaking scale are constrained superfields of various types. In this framework, there is a dominant supersymmetry breaking sector which uplifts the potential to zero value. Other sources of supersymmetry breaking have (asymptotically) vanishing contribution to vacuum energy such that supersymmetry is locally restored. Demanding vanishing vacuum energy constrains the structure of the superpotential and Kahler potential; there is a superpotential term for each secluded sector directly interacting with a nilpotent superfield and the Kahler potential must have a shift symmetry along Higgs field directions. This structure is inspired by elements that appear in string theory. We also study the Higgs dynamics during inflation and show that the swampland Festina Lente bound could be realized in this framework.
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spelling doaj.art-2930aca33c0e43cc80cfc402b0c6b7622023-08-26T04:42:36ZengElsevierPhysics Letters B0370-26932023-09-01844138102Higgs in nilpotent supergravity: Vacuum energy and Festina LenteAmineh Mohseni0Mahdi Torabian1Department of Physics, Sharif University of Technology, Azadi Ave, P. Code 1458889694, Tehran, IranDepartment of Physics, Sharif University of Technology, Azadi Ave, P. Code 1458889694, Tehran, Iran; International Centre for Theoretical Physics, Strada Costiera 11, 34151, Trieste, Italy; Corresponding author.In this note we study supergravity models with constrained superfields. We construct a supergravity framework in which all (super)symmetry breaking dynamics happen in vacuum with naturally (or otherwise asymptotically) vanishing energy. Supersymmetry is generically broken in multiple sectors each of them is parametrized by a nilpotent goldstino superfield. Dynamical fields (the Higgs, inflaton, etc) below the supersymmetry breaking scale are constrained superfields of various types. In this framework, there is a dominant supersymmetry breaking sector which uplifts the potential to zero value. Other sources of supersymmetry breaking have (asymptotically) vanishing contribution to vacuum energy such that supersymmetry is locally restored. Demanding vanishing vacuum energy constrains the structure of the superpotential and Kahler potential; there is a superpotential term for each secluded sector directly interacting with a nilpotent superfield and the Kahler potential must have a shift symmetry along Higgs field directions. This structure is inspired by elements that appear in string theory. We also study the Higgs dynamics during inflation and show that the swampland Festina Lente bound could be realized in this framework.http://www.sciencedirect.com/science/article/pii/S0370269323004367
spellingShingle Amineh Mohseni
Mahdi Torabian
Higgs in nilpotent supergravity: Vacuum energy and Festina Lente
Physics Letters B
title Higgs in nilpotent supergravity: Vacuum energy and Festina Lente
title_full Higgs in nilpotent supergravity: Vacuum energy and Festina Lente
title_fullStr Higgs in nilpotent supergravity: Vacuum energy and Festina Lente
title_full_unstemmed Higgs in nilpotent supergravity: Vacuum energy and Festina Lente
title_short Higgs in nilpotent supergravity: Vacuum energy and Festina Lente
title_sort higgs in nilpotent supergravity vacuum energy and festina lente
url http://www.sciencedirect.com/science/article/pii/S0370269323004367
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