Automatised full one-loop renormalisation of the MSSM I: The Higgs sector, the issue of tan(beta) and gauge invariance

Abstract

We give an extensive description of the renormalisation of the Higgs sector of the minimal supersymmetric model in SloopS. SloopS is an automatised code for the computation of one-loop processes in the MSSM. In this paper, the first in a series, we study in detail the non gauge invariance of some definitions of tan(beta). We rely on a general non-linear gauge fixing constraint to make the gauge parameter dependence of different schemes for tan(beta) at one-loop explicit. In so doing, we update, within these general gauges, an important Ward-Slavnov-Taylor identity on the mixing between the pseudo-scalar Higgs, A^0, and the Z^0. We then compare the tan(beta) scheme dependence of a few observables. We find that the best tan(beta) scheme is the one based on the decay A^0 -> tau^+ tau^- because of its gauge invariance, being unambiguously defined from a physical observable, and because it is numerically stable. The oft used DRbar scheme performs almost as well on the last count, but is usually defined from non-gauge invariant quantities in the Higgs sector. The use of the heavier scalar Higgs mass in lieu of tan(beta) though related to a physical parameter induces too large radiative corrections in many instances and is therefore not recommended.

arXiv comment34 pages, 1 figure, typos corrected, accepted for publication in Phys. Rev. D

References in corpus (37)

• Automatized One-Loop Calculations in 4 and D dimensions
• Generating Feynman Diagrams and Amplitudes with FeynArts 3
• The Anatomy of Electro-Weak Symmetry Breaking. II: The Higgs bosons in the Minimal Supersymmetric Model
• CompHEP 4.4 - Automatic Computations from Lagrangians to Events
• Electroweak corrections to charged-current e+e- --> 4 fermion processes - technical details and further results
• Basis-independent methods for the two-Higgs-doublet model
• The Implementation of the Minimal Supersymmetric Standard Model in FeynArts and FormCalc
• Complete On-Shell Renormalization Scheme for the Minimal Supersymmetric Higgs Sector
• Electroweak Precision Observables in the Minimal Supersymmetric Standard Model
• The one-loop renormalization of the MSSM Higgs sector and its application to the neutral scalar Higgs masses
• LanHEP - a package for the automatic generation of Feynman rules in field theory. Version 3.0
• Higgs boson mass in supersymmetry to three loops
• Three-loop corrections to the lightest Higgs scalar boson mass in supersymmetry
• Fermionic decays of neutral MSSM Higgs bosons at the one-loop level
• GRACE at ONE-LOOP: Automatic calculation of 1-loop diagrams in the electroweak theory with gauge parameter independence checks
• Complete electroweak O(alpha) corrections to charged-current e+e- --> 4fermion processes
• Full one-loop corrections to the relic density in the MSSM: A few examples
• Strong and Yukawa two-loop contributions to Higgs scalar boson self-energies and pole masses in supersymmetry
• Gauge dependence and renormalization of $\tan \beta$ in the MSSM
• Self-annihilation of the neutralino dark matter into two photons or a Z and a photon in the MSSM
• New Features in FormCalc 4
• Measurements of the SUSY Higgs self-couplings and the reconstruction of the Higgs potential
• Full order_alpha electroweak and order alpha_s corrections to e^+e^- --> t t H
• Full one-loop electroweak radiative corrections to single Higgs production in e+ e-
• Full order alpha electroweak corrections to double Higgs-strahlung at the linear collider
• Electroweak radiative corrections to $e^{+}{e}^{-}\to t\bar{t}h$ at linear colliders
• Electroweak radiative corrections to e+ e- -> t anti-t H
• Electroweak radiative corrections to single Higgs-boson production in e+e- annihilation
• GRACE/SUSY Automatic Generation of Tree Amplitudes in the Minimal Supersymmetric Standard Model
• Associated production of H^{\pm} and W^{\mp} in high-energy e+e- collisions in the Minimal Supersymmetric Standard Model
• Full $\mathcal{O}({\alpha }_{ew})$ electroweak corrections to $e^{+}{e}^{-}\to HHZ$
• Electroweak corrections to Higgs production through ZZ fusion at the linear collider
• Radiative corrections to the Higgs boson decay rate $\Gamma (H\to ZZ)$ in the minimal supersymmetric model
• Two-loop renormalization of tan beta and its gauge dependence
• Multi-leg calculations with the GRACE/1-LOOP system. --Toward Radiative Corrections to e+e- -> mu nu-bar u d-bar --
• Full one-loop electroweak radiative corrections to single photon production in e+e-
• Alternative mass shell renormalization for minimal supersymmetric Higgs sector

Cited by in corpus (54)

• micrOMEGAs3.1 : a program for calculating dark matter observables
• Indirect search for dark matter with micrOMEGAs2.4
• Renormalization of vacuum expectation values in spontaneously broken gauge theories
• Gauge-independent Renormalization of the 2-Higgs-Doublet Model
• Higher order corrections to Higgs boson decays in the MSSM with complex parameters
• Lepton flavour violating Higgs and tau to mu gamma
• Generic calculation of two-body partial decay widths at the full one-loop level
• Decays of the neutral Higgs bosons into SM fermions and gauge bosons in the $\mathcal{C}\mathcal{P}$-violating NMSSM
• Automatised full one-loop renormalisation of the MSSM II: The chargino-neutralino sector, the sfermion sector and some applications
• Gauge invariant one-loop corrections to Higgs boson couplings in non-minimal Higgs models
• Higgs boson masses and mixings in the complex MSSM with two-loop top-Yukawa-coupling corrections
• Renormalization of mixing angles
• Heavy to light Higgs boson decays at NLO in the Singlet Extension of the Standard Model
• Relic density at one-loop with gauge boson pair production
• Two-loop top-Yukawa-coupling corrections to the Higgs boson masses in the complex MSSM
• Renormalization schemes for the Two-Higgs-Doublet Model and applications to h -> WW/ZZ -> 4fermions
• Complete two-loop QCD contributions to the lightest Higgs-boson mass in the MSSM with complex parameters
• Relic density of Dark Matter in the Inert Doublet Model beyond Leading Order. I) The Heavy Mass Case
• Neutralino dark matter and the Fermi gamma-ray lines
• Phenomenology of the inflation-inspired NMSSM at the electroweak scale
• Heavy Scalar Top Quark Decays in the Complex MSSM: A Full One-Loop Analysis
• Neutral Higgs-pair production at Linear Colliders within the general 2HDM: quantum effects and triple Higgs boson self-interactions
• One-loop corrections, uncertainties and approximations in neutralino annihilations: Examples
• Boosting Higgs decays into gamma and a Z in the NMSSM
• Analysis of the Higgs potentials for two doublets and a singlet
• Two-loop top and bottom Yukawa corrections to the Higgs-boson masses in the complex MSSM
• Loop-induced photon spectral lines from neutralino annihilation in the NMSSM
• One-loop renormalisation of the NMSSM in SloopS 2: the Higgs sector
• One-loop renormalisation of the NMSSM in SloopS : 1. the neutralino-chargino and sfermion sectors
• On-shell renormalization of neutralino and chargino mass matrices in R-parity violating models - Correlation between LSP decays and neutrino mixing angles revisited
• NLO corrections to e+e- to WWZ and e+e- to ZZZ
• Electroweak corrections to Neutralino and Chargino decays into a W-boson in the (N)MSSM
• Relic density of dark matter in the inert doublet model beyond leading order for the low mass region: 1. Renormalisation and constraints
• Quantum effects on Higgs-strahlung events at Linear Colliders within the general 2HDM
• Indirect dark-matter detection with MadDM v3.2 -- Lines and Loops
• The neutral Higgs self-couplings in the (h)MSSM
• HFOLD - a program package for calculating two-body MSSM Higgs decays at full one-loop level
• Relic density of dark matter in the inert doublet model beyond leading order for the low mass region: 3. Annihilation in 3-body final state
• W-+ H+- production and CP asymmetry at the LHC
• Relic density calculations beyond tree-level, exact calculations versus effective couplings: the ZZ final state
• Higgs couplings in the MSSM at large tan(beta)
• The NLO electroweak effects on the Higgs production in association with bottom quark pair at the LHC
• SFOLD - a program package for calculating two-body sfermion decays at full one-loop level in the MSSM
• Precision predictions for dark matter with DM@NLO in the MSSM
• Electroweak corrections to $gg\to H^{-}t\bar{b}$ at the LHC
• Higher Order Corrections to the Trilinear Higgs Self-Couplings in the Real NMSSM
• Gamma-ray lines constraints in the NMSSM
• Automated Choice for the Best Renormalization Scheme in BSM Models
• SUSY Tools for Dark Matter and at the Colliders
• Heavy neutralino relic abundance with Sommerfeld enhancements - a study of pMSSM scenarios
• Electroweak corrections to WWZ and ZZZ production at the linear collider
• Renormalization schemes for mixing angles in extended Higgs sectors
• Effective Approaches in and Beyond the MSSM : applications to Higgs Physics and Dark Matter observables
• NLO corrections to WWZ and ZZZ production at the ILC