High-scale supersymmetry, the Higgs boson mass, and gauge unification

Ellis, Sebastian A. R.; Wells, James D.

doi:10.1103/physrevd.96.055024

Title: High-scale supersymmetry, the Higgs boson mass, and gauge unification

Abstract

Suppressing naturalness concerns, we discuss the compatibility requirements of high-scale supersymmetry breaking with the Higgs boson mass constraint and gauge coupling unification. We find that to accommodate superpartner masses significantly greater than the electroweak scale, one must introduce large nondegeneracy factors. These factors are enumerated for the Minimal Supersymmetric Standard Model, and implications for the allowed forms of supersymmetry breaking are discussed. We find that superpartner masses of arbitrarily high values are allowed for suitable values of tan β and the nondegeneracy factors. Here, we also compute the large, but viable, threshold corrections that would be necessary at the unification scale for exact gauge coupling unification. Whether or not high-scale supersymmetry can be realized in this context is highly sensitive to the precise value of the top quark Yukawa coupling, highlighting the importance of future improvements in the top quark mass measurement.

Authors:

Ellis, Sebastian A. R. ^[1]; Wells, James D. ^[1]

Univ. of Michigan, Ann Arbor, MI (United States); Deutsches Elektronen-Synchrotron (DESY), Hamburg (Germany)

Publication Date:: Mon Sep 18 00:00:00 EDT 2017

Research Org.:: Univ. of Michigan, Ann Arbor, MI (United States)

Sponsoring Org.:: USDOE Office of Science (SC), High Energy Physics (HEP)

OSTI Identifier:: 1648029

Alternate Identifier(s):: OSTI ID: 1392157

Grant/Contract Number:: SC0007859

Resource Type:: Accepted Manuscript

Journal Name:: Physical Review D

Additional Journal Information:: Journal Volume: 96; Journal Issue: 5; Journal ID: ISSN 2470-0010

Publisher:: American Physical Society (APS)

Country of Publication:: United States

Language:: English

Subject:: 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; Extensions of Higgs sector; Grand unified models; Supersymmetric models

Citation Formats


                    Ellis, Sebastian A. R., and Wells, James D. High-scale supersymmetry, the Higgs boson mass, and gauge unification.  United States: N. p., 2017. 
Web.  doi:10.1103/physrevd.96.055024.

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                    Ellis, Sebastian A. R., & Wells, James D. High-scale supersymmetry, the Higgs boson mass, and gauge unification.  United States.  https://doi.org/10.1103/physrevd.96.055024

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                    Ellis, Sebastian A. R., and Wells, James D. Mon .  
"High-scale supersymmetry, the Higgs boson mass, and gauge unification".  United States.  https://doi.org/10.1103/physrevd.96.055024.  https://www.osti.gov/servlets/purl/1648029.

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@article{osti_1648029,

  title        = {High-scale supersymmetry, the Higgs boson mass, and gauge unification},

  author       = {Ellis, Sebastian A. R. and Wells, James D.},

  abstractNote = {Suppressing naturalness concerns, we discuss the compatibility requirements of high-scale supersymmetry breaking with the Higgs boson mass constraint and gauge coupling unification. We find that to accommodate superpartner masses significantly greater than the electroweak scale, one must introduce large nondegeneracy factors. These factors are enumerated for the Minimal Supersymmetric Standard Model, and implications for the allowed forms of supersymmetry breaking are discussed. We find that superpartner masses of arbitrarily high values are allowed for suitable values of tan β and the nondegeneracy factors. Here, we also compute the large, but viable, threshold corrections that would be necessary at the unification scale for exact gauge coupling unification. Whether or not high-scale supersymmetry can be realized in this context is highly sensitive to the precise value of the top quark Yukawa coupling, highlighting the importance of future improvements in the top quark mass measurement.},

  doi          = {10.1103/physrevd.96.055024},

  journal      = {Physical Review D},

  number       = 5,

  volume       = 96,

  place        = {United States},

  year         = {Mon Sep 18 00:00:00 EDT 2017},

  month        = {Mon Sep 18 00:00:00 EDT 2017}

}

Copy to clipboard

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Works referencing / citing this record:

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Grand unification of effective gauge theories journal, February 1981

Precision unification and proton decay in F-theory GUTs with high scale supersymmetry journal, September 2014

Decoupling can revive minimal supersymmetric SU(5) journal, July 2013

Probing High-Scale and Split Supersymmetry with Higgs mass measurements journal, May 2012

Precision LEP data, supersymmetric GUTs and string unification journal, October 1990

Review of Particle Physics text, January 2012

Higgs bosons in heavy supersymmetry with an intermediate m A journal, October 2015

Minimal model of gravitino dark matter journal, May 2017

Visualizing gauge unification with high-scale thresholds journal, April 2015

Dark matter and gauge coupling unification in nonsupersymmetric SO(10) grand unified models journal, May 2015

Improved predictions for intermediate and heavy supersymmetry in the MSSM and beyond text, January 2017

Approximating the radiatively corrected Higgs mass in the minimal supersymmetric model journal, July 1997

Supersymmetric unification without low energy supersymmetry and signatures for fine-tuning at the LHC journal, June 2005

A SM-like Higgs near 125 GeV in low energy SUSY: a comparative study for MSSM and NMSSM journal, March 2012

Supersymmetric Grand Unified Theories: From Quarks to Strings via SUSY GUTs book, January 2017

The MSSM with heavy scalars journal, July 2007

Aspects of Split Supersymmetry journal, March 2005

Low-energy predictions in supersymmetric grand unified theories journal, October 1981

Review of Particle Physics text, January 2018

Split supersymmetry journal, November 2004

Supersymmetry and the scale of unification journal, September 1981

Renormalization-group-improved Higgs sector of the minimal supersymmetric model journal, November 1993

Analytical expressions for radiatively corrected Higgs masses and couplings in the MSSM journal, July 1995

Improved predictions for intermediate and heavy supersymmetry in the MSSM and beyond journal, May 2017

Vacuum stability and supersymmetry at high scales with two Higgs doublets journal, March 2016

The Higgs mass as a signature of heavy SUSY journal, May 2013

Erratum journal, April 1995

Gravity-assisted exact unification in minimal supersymmetric SU(5) and its gaugino mass spectrum journal, May 2004

Revisiting the Higgs mass and dark matter in the CMSSM journal, May 2012

A natural solution to the μ-problem in supergravity theories journal, May 1988

Renormalization of vacuum expectation values in spontaneously broken gauge theories journal, July 2013

Observation of a new boson at a mass of 125 GeV with the CMS experiment at the LHC text, January 2018

Observation of a new Boson at a mass of 125 gev with the cms Experiment at the lhc conference, March 2015

Precise prediction for the light MSSM Higgs-boson mass combining effective field theory and fixed-order calculations journal, September 2016

The lightest Higgs boson mass in the Minimal Supersymmetric Standard Model journal, February 1995

Three-loop corrections to the lightest Higgs scalar boson mass in supersymmetry journal, March 2007

Precise estimates of the Higgs mass in heavy supersymmetry journal, March 2014

Resuscitation of minimal SO(10) grand unification journal, July 1993

Effective gauge theories journal, March 1980

Investigating the near-criticality of the Higgs boson journal, December 2013

Precise Higgs mass calculations in (non-)minimal supersymmetry at both high and low scales text, January 2017

The MSSM Higgs sector at a high MSUSY: reopening the low tan β regime and heavy Higgs searches journal, October 2013

Renormalization-group analysis on the Higgs mass in the softly-broken supersymmetric standard model journal, June 1991

Case for an EeV Gravitino journal, July 2017

Grand unification and intermediate scale supersymmetry journal, February 2014

Probing High-Scale and Split Supersymmetry with Higgs Mass Measurements text, January 2011

Renormalization of vacuum expectation values in spontaneously broken gauge theories text, January 2013

Investigating the near-criticality of the Higgs boson text, January 2013

Higgs boson mass in the Standard Model at two-loop order and beyond text, January 2014

Visualizing gauge unification with high-scale thresholds text, January 2015

Vacuum stability and supersymmetry at high scales with two Higgs doublets text, January 2015

Precise prediction for the light MSSM Higgs boson mass combining effective field theory and fixed-order calculations text, January 2016

Precise Higgs mass calculations in (non-)minimal supersymmetry at both high and low scales text, January 2016

A Minimal Model of Gravitino Dark Matter text, January 2017

Improved predictions for intermediate and heavy Supersymmetry in the MSSM and beyond text, January 2017

Gravity-assisted exact unification in minimal supersymmetric SU(5) and its gaugino mass spectrum text, January 2003

Split Supersymmetry text, January 2004

Aspects of Split Supersymmetry text, January 2004

PeV-Scale Supersymmetry text, January 2004

The Lightest Higgs Boson Mass in the Minimal Supersymmetric Standard Model text, January 1994

Grand unification, axion, and inflation in Intermediate Scale Supersymmetry
journal, June 2014

Softly broken supersymmetry and SU(5)
journal, December 1981

PeV-scale supersymmetry
journal, January 2005

The supersymmetric Higgs for heavy superpartners
journal, April 1991

Higgs mass and unnatural supersymmetry
journal, September 2014

Higgs mass determination in supersymmetry
journal, July 2015

Radiative corrections to the masses of supersymmetric Higgs bosons
journal, March 1991

Review of Particle Physics
journal, August 2014

$M$ Theory Solution to the Hierarchy Problem
journal, November 2006

Higgs boson mass in the standard model at two-loop order and beyond
journal, October 2014

Review of Particle Physics
text, January 2008

Erratum to: “Split supersymmetry” [Nucl. Phys. B 699 (2004) 65]
journal, January 2005

Not even decoupling can save the minimal supersymmetric SU(5) model
journal, February 2002

Observation of a new boson at a mass of 125 GeV with the CMS experiment at the LHC
journal, September 2012

Observation of a new particle in the search for the Standard Model Higgs boson with the ATLAS detector at the LHC
journal, September 2012

Grand unification in high-scale supersymmetry
journal, June 2013

Precise Higgs mass calculations in (non-)minimal supersymmetry at both high and low scales
journal, January 2017

Grand unification of effective gauge theories
journal, February 1981

Precision unification and proton decay in F-theory GUTs with high scale supersymmetry
journal, September 2014

Decoupling can revive minimal supersymmetric SU(5)
journal, July 2013

Probing High-Scale and Split Supersymmetry with Higgs mass measurements
journal, May 2012

Precision LEP data, supersymmetric GUTs and string unification
journal, October 1990

Review of Particle Physics
text, January 2012

Higgs bosons in heavy supersymmetry with an intermediate $m_{A}$
journal, October 2015

Minimal model of gravitino dark matter
journal, May 2017

Visualizing gauge unification with high-scale thresholds
journal, April 2015

Dark matter and gauge coupling unification in nonsupersymmetric SO(10) grand unified models
journal, May 2015

Improved predictions for intermediate and heavy supersymmetry in the MSSM and beyond
text, January 2017

Approximating the radiatively corrected Higgs mass in the minimal supersymmetric model
journal, July 1997

Supersymmetric unification without low energy supersymmetry and signatures for fine-tuning at the LHC
journal, June 2005

A SM-like Higgs near 125 GeV in low energy SUSY: a comparative study for MSSM and NMSSM
journal, March 2012

Supersymmetric Grand Unified Theories: From Quarks to Strings via SUSY GUTs
book, January 2017

The MSSM with heavy scalars
journal, July 2007

Aspects of Split Supersymmetry
journal, March 2005

Low-energy predictions in supersymmetric grand unified theories
journal, October 1981

Review of Particle Physics
text, January 2018

Split supersymmetry
journal, November 2004

Supersymmetry and the scale of unification
journal, September 1981

Renormalization-group-improved Higgs sector of the minimal supersymmetric model
journal, November 1993

Analytical expressions for radiatively corrected Higgs masses and couplings in the MSSM
journal, July 1995

Improved predictions for intermediate and heavy supersymmetry in the MSSM and beyond
journal, May 2017

Vacuum stability and supersymmetry at high scales with two Higgs doublets
journal, March 2016

The Higgs mass as a signature of heavy SUSY
journal, May 2013

Erratum
journal, April 1995

Gravity-assisted exact unification in minimal supersymmetric SU(5) and its gaugino mass spectrum
journal, May 2004

Revisiting the Higgs mass and dark matter in the CMSSM
journal, May 2012

A natural solution to the μ-problem in supergravity theories
journal, May 1988

Renormalization of vacuum expectation values in spontaneously broken gauge theories
journal, July 2013

Observation of a new boson at a mass of 125 GeV with the CMS experiment at the LHC
text, January 2018

Observation of a new Boson at a mass of 125 gev with the cms Experiment at the lhc
conference, March 2015

Precise prediction for the light MSSM Higgs-boson mass combining effective field theory and fixed-order calculations
journal, September 2016

The lightest Higgs boson mass in the Minimal Supersymmetric Standard Model
journal, February 1995

Three-loop corrections to the lightest Higgs scalar boson mass in supersymmetry
journal, March 2007

Precise estimates of the Higgs mass in heavy supersymmetry
journal, March 2014

Resuscitation of minimal SO(10) grand unification
journal, July 1993

Effective gauge theories
journal, March 1980

Investigating the near-criticality of the Higgs boson
journal, December 2013

Precise Higgs mass calculations in (non-)minimal supersymmetry at both high and low scales
text, January 2017

The MSSM Higgs sector at a high MSUSY: reopening the low tan β regime and heavy Higgs searches
journal, October 2013

Renormalization-group analysis on the Higgs mass in the softly-broken supersymmetric standard model
journal, June 1991

Case for an EeV Gravitino
journal, July 2017

Grand unification and intermediate scale supersymmetry
journal, February 2014

Probing High-Scale and Split Supersymmetry with Higgs Mass Measurements
text, January 2011

Renormalization of vacuum expectation values in spontaneously broken gauge theories
text, January 2013

Investigating the near-criticality of the Higgs boson
text, January 2013

Higgs boson mass in the Standard Model at two-loop order and beyond
text, January 2014

Visualizing gauge unification with high-scale thresholds
text, January 2015

Vacuum stability and supersymmetry at high scales with two Higgs doublets
text, January 2015

Precise prediction for the light MSSM Higgs boson mass combining effective field theory and fixed-order calculations
text, January 2016

Precise Higgs mass calculations in (non-)minimal supersymmetry at both high and low scales
text, January 2016

A Minimal Model of Gravitino Dark Matter
text, January 2017

Improved predictions for intermediate and heavy Supersymmetry in the MSSM and beyond
text, January 2017

Gravity-assisted exact unification in minimal supersymmetric SU(5) and its gaugino mass spectrum
text, January 2003

Split Supersymmetry
text, January 2004

Aspects of Split Supersymmetry
text, January 2004

PeV-Scale Supersymmetry
text, January 2004

The Lightest Higgs Boson Mass in the Minimal Supersymmetric Standard Model
text, January 1994

Supersymmetric Unification Without Low Energy Supersymmetry And Signatures for Fine-Tuning at the LHC
text, January 2004

Inflation from High-Scale Supersymmetry Breaking
text, January 2017

Screams for explanation: finetuning and naturalness in the foundations of physics
journal, September 2019