Complete two-loop effective potential approximation to the lightest Higgs scalar boson mass in supersymmetry

Abstract

I present a method for accurately calculating the pole mass of the lightest Higgs scalar boson in supersymmetric extensions of the Standard Model, using a mass-independent renormalization scheme. The Higgs scalar self-energies are approximated by supplementing the exact one-loop results with the second derivatives of the complete two-loop effective potential in Landau gauge. I discuss the dependence of this approximation on the choice of renormalization scale, and note the existence of particularly poor choices which fortunately can be easily identified and avoided. For typical input parameters, the variation in the calculated Higgs mass over a wide range of renormalization scales is found to be of order a few hundred MeV or less, and is significantly improved over previous approximations.

5 pages, 1 figure. References added, sample test model parameters listed, minor wording changes

References in corpus (1)

• Two-loop effective potential for the minimal supersymmetric standard model

Cited by in corpus (100)

• The Higgs Boson Masses and Mixings of the Complex MSSM in the Feynman-Diagrammatic Approach
• High-precision predictions for the light CP-even Higgs Boson Mass of the MSSM
• A 125 GeV SM-like Higgs in the MSSM and the $\gamma \gamma$ rate
• Precise determination of the neutral Higgs boson masses in the MSSM
• Electroweak Precision Observables in the Minimal Supersymmetric Standard Model
• Impersonating the Standard Model Higgs Boson: Alignment without Decoupling
• CPsuperH: a Computational Tool for Higgs Phenomenology in the Minimal Supersymmetric Standard Model with Explicit CP Violation
• Electroweak Baryogenesis and Dark Matter in the nMSSM
• Exploring new models in all detail with SARAH
• Light Stau Phenomenology and the Higgs γγRate
• On the two-loop Yukawa corrections to the MSSM Higgs boson masses at large tan(beta)
• Light MSSM Higgs boson mass to three-loop accuracy
• The Higgs sector of the complex MSSM at two-loop order: QCD contributions
• Reconciling EFT and hybrid calculations of the light MSSM Higgs-boson mass
• Higgs Boson Mass, Sparticle Spectrum and Little Hierarchy Problem in Extended MSSM
• On the radiative corrections to the neutral Higgs boson masses in the NMSSM
• Three-loop corrections to the lightest Higgs scalar boson mass in supersymmetry
• Taming the Goldstone contributions to the effective potential
• Two-Loop Higgs mass calculations in supersymmetric models beyond the MSSM with SARAH and SPheno
• Dark Matter, Light Stops and Electroweak Baryogenesis
• Evaluation of two-loop self-energy basis integrals using differential equations
• Precision calculations in the MSSM Higgs-boson sector with FeynHiggs 2.14
• The Supersymmetric Origin of Matter
• Two-loop scalar self-energies in a general renormalizable theory at leading order in gauge couplings
• Indirect Sensitivities to the Scale of Supersymmetry
• The Supersymmetric Parameter Space in Light of B-physics Observables and Electroweak Precision Data
• Higgs-mass predictions in the MSSM and beyond
• Strong and Yukawa two-loop contributions to Higgs scalar boson self-energies and pole masses in supersymmetry
• Likelihood Analysis of the CMSSM Parameter Space
• Improved predictions for intermediate and heavy Supersymmetry in the MSSM and beyond
• The upper bound on the lightest Higgs mass in the NMSSM revisited
• Momentum-dependent two-loop QCD corrections to the neutral Higgs-boson masses in the MSSM
• Precise Higgs mass calculations in (non-)minimal supersymmetry at both high and low scales
• Analysis of the NMSSM Higgs Boson Masses at One-Loop Level
• On the two-loop corrections to the Higgs masses in the NMSSM
• Constraints on B and Higgs Physics in Minimal Low Energy Supersymmetric Models
• Improved determination of the Higgs mass in the MSSM with heavy superpartners
• Higgs boson masses and mixings in the complex MSSM with two-loop top-Yukawa-coupling corrections
• Two-loop QCD corrections to the MSSM Higgs masses beyond the effective-potential approximation
• A Review of Higgs Mass Calculations in Supersymmetric Models
• The Effective Theory of the Light Stop Scenario
• Renormalization scheme dependence of the two-loop QCD corrections to the neutral Higgs-boson masses in the MSSM
• Precise predictions for h_a --> h_b h_c decays in the complex MSSM
• Supersymmetric and non-supersymmetric models without catastrophic Goldstone bosons
• The Higgs mass in the CP violating MSSM, NMSSM, and beyond
• Physics Impact of a Precise Determination of the Top Quark Mass at an e+e- Linear Collider
• Higgs boson mass in the Standard Model at two-loop order and beyond
• Light Stops, Light Staus and the 125 GeV Higgs
• On the detectability of the CMSSM light Higgs boson at the Tevatron
• Precision Calculations in Supersymmetric Theories
• Search for Heavy Neutral MSSM Higgs Bosons with CMS: Reach and Higgs-Mass Precision
• MSSM Higgs-boson mass predictions and two-loop non-supersymmetric counterterms
• Natural Supersymmetry and Implications for Higgs physics
• Phenomenological Indications of the Scale of Supersymmetry
• SusyHD: Higgs mass Determination in Supersymmetry
• Higgs mass prediction in the MSSM at three-loop level in a pure $\overline{\text{DR}}$ context
• Avoiding the Goldstone Boson Catastrophe in general renormalisable field theories at two loops
• Higgs boson of mass 125 GeV in GMSB models with messenger-matter mixing
• Complete two-loop QCD contributions to the lightest Higgs-boson mass in the MSSM with complex parameters
• Non-universal gaugino masses and semi-natural supersymmetry in view of the Higgs boson discovery
• The light CP-even MSSM Higgs mass resummed to fourth logarithmic order
• Towards precise predictions for Higgs-boson production in the MSSM
• Probing the $\mu \nu$SSM with light scalars, pseudoscalars and neutralinos from the decay of a SM-like Higgs boson at the LHC
• High scale impact in alignment and decoupling in two-Higgs doublet models
• Supersymmetric Models in Light of Improved Higgs Mass Calculations
• Full two-loop QCD corrections to the Higgs mass in the MSSM with heavy superpartners
• Solving the muon g-2 anomaly in CMSSM extension with non-universal gaugino masses
• Amelioration of Little Hierarchy Problem in SU(4)_c x SU(2)_L x SU(2)_R
• Scalar-Top Masses from SUSY Loops with 125 GeV mh and precise Mw, mt
• Challenges for MSSM Higgs searches at Hadron Colliders
• Uncertainties in the Lightest $CP$ Even Higgs Boson Mass Prediction in the Minimal Supersymmetric Standard Model: Fixed Order Versus Effective Field Theory Prediction
• Two-loop top and bottom Yukawa corrections to the Higgs-boson masses in the complex MSSM
• Higgs Boson Production and Decay: Effects from Light Third Generation and Vectorlike Matter
• The Charged Higgs Boson Mass of the MSSM in the Feynman-Diagrammatic Approach
• Two-loop top-Yukawa-coupling corrections to the charged Higgs-boson mass in the MSSM
• Stability of R parity in supersymmetric models extended by U(1)_{B-L}
• Two-loop Higgs mass calculation from a diagrammatic approach
• Anomaly Mediation, Fayet-Iliopoulos D-terms and precision sparticle spectra
• Resummation of Goldstone boson contributions to the MSSM effective potential
• A Heavy Higgs and a Light Sneutrino NLSP in the MSSM with Enhanced SU(2) D-terms
• Search for Higgs Bosons in SUSY Cascade Decays and Neutralino Dark Matter
• The light CP-even MSSM Higgs mass including N${}^3$LO+N${}^3$LL QCD corrections
• Determining the Structure of Supersymmetry-Breaking with Renormalization Group Invariants
• All two-loop scalar self-energies and tadpoles in general renormalisable field theories
• Refined gluino and squark pole masses beyond leading order
• The Higgs sector of supersymmetric theories and the implications for high-energy colliders
• Improved MSSM Higgs mass calculation using the 3-loop FlexibleEFTHiggs approach including $x_t$-resummation
• Prospects for MSSM Higgs Searches at the Tevatron
• On the two-loop corrections to the Higgs mass in trilinear R-parity violation
• The pMSSM Interpretation of LHC Results Using Rernormalization Group Invariants
• Constraints on a Very Light Sbottom
• Decoupling of the Right-handed Neutrino Contribution to the Higgs Mass in Supersymmetric Models
• Non-decoupling effects in supersymmetric Higgs sectors
• Expectation management
• A non-universal $U(1{)}_X$ gauge extension to the MSSM
• Three-Loop Calculation of the Higgs Boson Mass in Supersymmetry
• The Higgs Boson Mass as Fundamental Parameter of the Minimal Supersymmetric Standard Model
• Three-Loop Predictions for the Light Higgs Mass in the MSSM
• Momentum Dependent Two-Loop Corrections to the Neutral Higgs Boson Masses in the MSSM
• Flavor Mixing Phenomenology in Supersymmetric Models