skip to main content
OSTI.GOV title logo U.S. Department of Energy
Office of Scientific and Technical Information

Title: Higgs boson mass in the standard model at two-loop order and beyond

Journal Article · · Physical Review. D, Particles, Fields, Gravitation and Cosmology
 [1];  [2]
  1. North Illinois Univ., DeKalb, IL (United States); Fermi National Accelerator Lab. (FNAL), Batavia, IL (United States)
  2. Otterbein Univ., Westerville, OH (United States)

We calculate the mass of the Higgs boson in the standard model in terms of the underlying Lagrangian parameters at complete 2-loop order with leading 3-loop corrections. A computer program implementing the results is provided. The program also computes and minimizes the standard model effective potential in Landau gauge at 2-loop order with leading 3-loop corrections.

Research Organization:
Fermi National Accelerator Laboratory (FNAL), Batavia, IL (United States)
Sponsoring Organization:
USDOE Office of Science (SC), High Energy Physics (HEP)
Grant/Contract Number:
AC02-07CH11359
OSTI ID:
1296751
Report Number(s):
FERMILAB-PUB-14-360-T; arXiv:1407.4336; PRVDAQ; 1306632
Journal Information:
Physical Review. D, Particles, Fields, Gravitation and Cosmology, Vol. 90, Issue 7; ISSN 1550-7998
Publisher:
American Physical Society (APS)Copyright Statement
Country of Publication:
United States
Language:
English
Citation Metrics:
Cited by: 39 works
Citation information provided by
Web of Science

References (75)

The standard model effective potential at two loops journal November 1992
Light MSSM Higgs boson mass to three-loop accuracy journal August 2010
Upper Bound of the Lightest Higgs Boson Mass in the Minimal Supersymmetric Standard Model journal January 1991
The masses of the neutral journal January 1999
The standard model effective potential at two loops journal October 1997
TSIL: a program for the calculation of two-loop self-energy integrals journal January 2006
On the metastability of the Standard Model vacuum journal August 2001
Higgs boson mass and new physics journal October 2012
TARCER — A mathematica program for the reduction of two-loop propagator integrals journal June 1998
Perturbative pole mass in QCD journal July 1998
Standard model stability bounds for new physics within LHC reach journal August 1996
The top quark and Higgs boson masses and the stability of the electroweak vacuum journal September 2012
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
Gauge invariance, analyticity and physical observables at the Z0 resonance journal June 1991
MSSM lightest CP-even Higgs boson mass to Script O(α s α t ): the effective potential approach journal March 2000
Can the mass of the lightest Higgs boson of the minimal supersymmetric model be larger than m Z ? journal April 1991
Anomalous dimensions of gauge fields and gauge coupling beta-functions in the Standard Model at three loops journal January 2013
Strong and Yukawa two-loop contributions to Higgs scalar boson self-energies and pole masses in supersymmetry journal January 2005
Two-loop O ( α s G F m t 2 ) corrections to the fermionic decay rates of the standard-model Higgs boson journal September 1994
Taming infrared divergences in the effective potential journal August 2014
General background field calculations with fermion fields journal January 1985
CPsuperH2.3: An updated tool for phenomenology in the MSSM with explicit CP violation journal April 2013
Large momentum expansion of two-loop self-energy diagrams with arbitrary masses journal December 1993
Structure of the Z 0 resonance and the physical properties of the Z 0 boson journal May 1993
Two-loop renormalization group equations in a general quantum field theory journal January 1985
Cosmological implications of the Higgs mass measurement journal May 2008
Probing vacuum stability bounds at the fermilab collider journal September 1989
The probable fate of the Standard Model journal August 2009
Generalized recurrence relations for two-loop propagator integrals with arbitrary masses journal September 1997
Scalar two-loop integrals for gauge boson self-energy diagrams with a massless fermion loop journal January 1994
Two-loop renormalization group equations in a general quantum field theory (II). Yukawa couplings journal April 1984
Electroweak Higgs potential and vacuum stability journal August 1989
Improved Higgs mass stability bound in the standard model and implications for supersymmetry journal January 1995
Three-loop Standard Model effective potential at leading order in strong and top Yukawa couplings journal January 2014
Approximating the radiatively corrected Higgs mass in the minimal supersymmetric model journal July 1997
On the numerical evaluation of scalar two-loop self-energy diagrams journal June 1994
Instability of hot electroweak theory: Bounds on m H and m t journal December 1991
The pole mass in perturbative QCD journal June 1981
Theoretical considerations concerning the Z^{0} mass journal October 1991
Improved metastability bounds on the Standard Model Higgs mass journal June 1995
On radiative corrections to supersymmetric Higgs boson masses and their implications for LEP searches journal June 1991
Higgs mass and vacuum stability in the Standard Model at NNLO journal August 2012
FeynHiggs: a program for the calculation of the masses of the neutral -even Higgs bosons in the MSSM journal January 2000
QCD corrections to the masses of the neutral CP -even Higgs bosons in the minimal supersymmetric standard model journal September 1998
Effective potential methods and the Higgs mass spectrum in the MSSM journal February 1996
Complete two-loop dominant corrections to the mass of the lightest -even Higgs boson in the minimal supersymmetric standard model journal October 2000
Higgs self-coupling beta-function in the Standard Model at three loops journal October 2013
Two-loop scalar self-energies in a general renormalizable theory at leading order in gauge couplings journal July 2004
Higgs mass implications on the stability of the electroweak vacuum journal March 2012
The effective potential and the renormalisation group journal April 1993
The master two-loop diagram with masses journal March 1990
Erratum: Higgs Boson Mass in Supersymmetry to Three Loops [Phys. Rev. Lett. 100 , 191602 (2008)] journal July 2008
QCD corrections to Higgs boson self-energies and fermionic decay widths journal January 1995
(No) Eternal inflation and precision Higgs physics journal March 2008
Three-loop β-functions for top-Yukawa and the Higgs self-interaction in the standard model journal June 2012
Analytical expressions for radiatively corrected Higgs masses and couplings in the MSSM journal July 1995
Nielsen identities of the SM and the definition of mass journal August 2000
Erratum journal April 1995
Yukawa coupling beta-functions in the Standard Model at three loops journal May 2013
Higgs-scalar decays: H→W±+X journal July 1984
Taming the Goldstone contributions to the effective potential journal July 2014
Two-loop self-energy diagrams with different masses and the momentum expansion journal May 1993
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
Precise prediction for the mass of the lightest Higgs boson in the MSSM journal November 1998
Investigating the near-criticality of the Higgs boson journal December 2013
Complete two-loop effective potential approximation to the lightest Higgs scalar boson mass in supersymmetry journal May 2003
HDECAY: a program for Higgs boson decays in the Standard Model and its supersymmetric extension journal January 1998
High-Precision Predictions for the Light C P -Even Higgs Boson Mass of the Minimal Supersymmetric Standard Model journal April 2014
Two-loop effective potential for the minimal supersymmetric standard model journal November 2002
Standard model Higgs boson mass from inflation: two loop analysis journal July 2009
Evaluation of two-loop self-energy basis integrals using differential equations journal October 2003
Two-loop renormalization group equations in a general quantum field theory journal July 1983

Cited By (21)

Impact of vacuum stability, perturbativity and XENON1T on global fits of $$\mathbb {Z}_2$$ Z 2 and $$\mathbb {Z}_3$$ Z 3 scalar singlet dark matter journal October 2018
Supersymmetric and non-supersymmetric models without catastrophic Goldstone bosons journal November 2017
Standard model parameters in the tadpole-free pure MS ¯ scheme journal October 2019
Uncertainties in the lightest $$CP$$ CP even Higgs boson mass prediction in the minimal supersymmetric standard model: fixed order versus effective field theory prediction journal July 2018
The Hierarchy Problem and the Cosmological Constant Problem Revisited: Higgs Inflation and a New View on the SM of Particle Physics journal May 2019
Higgs inflation at the hilltop journal June 2018
N -loop running should be combined with N -loop matching journal January 2018
Two-loop effective potential for generalized gauge fixing journal October 2018
Full two-loop QCD corrections to the Higgs mass in the MSSM with heavy superpartners journal November 2019
The light CP-even MSSM Higgs mass resummed to fourth logarithmic order text January 2018
Supersymmetric and non-supersymmetric models without catastrophic Goldstone bosons text January 2017
High-scale supersymmetry, the Higgs boson mass, and gauge unification text January 2017
The Hierarchy Problem and the Cosmological Constant Problem Revisited text January 2019
Supersymmetric and non-supersymmetric models without catastrophic Goldstone bosons text January 2017
The light CP-even MSSM Higgs mass resummed to fourth logarithmic order journal October 2018
Uncertainties in the lightest CP even Higgs boson mass prediction in the minimal supersymmetric standard model: fixed order versus effective field theory prediction text January 2018
N-loop running should be combined with N-loop matching text January 2018
High-scale Supersymmetry, the Higgs Mass and Gauge Unification text January 2017
Four-loop Standard Model effective potential at leading order in QCD text January 2015
High-scale Supersymmetry, the Higgs Mass and Gauge Unification text January 2017
The light CP-even MSSM Higgs mass resummed to fourth logarithmic order text January 2018

Similar Records

$Z$-Boson Pole Mass at Two-Loop Order in the Pure $\overline{MS}$ Scheme
Journal Article · Mon Jul 27 00:00:00 EDT 2015 · Phys.Rev. · OSTI ID:1296751

Two-loop unitarity constraints on the Higgs-boson coupling
Journal Article · Sun Aug 01 00:00:00 EDT 1993 · Physical Review, D (Particles Fields); (United States) · OSTI ID:1296751

Neutral Higgs-pair production at linear colliders within the general two-Higgs-doublet model: Quantum effects and triple Higgs boson self-interactions
Journal Article · Mon Feb 01 00:00:00 EST 2010 · Physical Review. D, Particles Fields · OSTI ID:1296751