Pole mass determination in presence of heavy particles

Abstract

We investigate the determination of the Higgs-boson propagator poles in the MSSM. Based upon earlier works, we point out that in case of a large hierarchy between the electroweak scale and one or more SUSY masses a numerical determination with $\overline{\text{DR}}$ Higgs field renormalization induces higher order terms which would cancel in a more complete calculation. The origin of these terms is the momentum dependence of contributions involving at least one of the heavy particles. We present two different methods to avoid their appearance. In the first approach, the poles are determined by expanding around the one-loop solutions. In the second approach, a "heavy-OS" Higgs field renormalization is employed in order to absorb the momentum dependence of heavy contributions. We will find that the first approach leads to an unwanted behaviour of the Higgs boson mass predictions close to crossing points where two Higgs bosons that mix with each other are almost mass degenerate. These problems are avoided in the second approach, which became the default approach used in the public code FeynHiggs. Despite the discussion being very specific to the MSSM, the argumentation and the methods presented in this work are straightforwardly applicable to the determination of propagator poles in other models involving a large mass hierarchy.

37 pages,3 figures; small corrections; matches version to be published in JHEP;

References in corpus (14)

• Observation of a new particle in the search for the Standard Model Higgs boson with the ATLAS detector at the LHC
• Observation of a new boson at a mass of 125 GeV with the CMS experiment at the LHC
• Combined Measurement of the Higgs Boson Mass in $pp$ Collisions at $\sqrt{s}=7$ and 8 TeV with the ATLAS and CMS Experiments
• The Higgs sector of the complex MSSM at two-loop order: QCD contributions
• FlexibleSUSY 2.0: Extensions to investigate the phenomenology of SUSY and non-SUSY models
• Precise Higgs mass calculations in (non-)minimal supersymmetry at both high and low scales
• Momentum-dependent two-loop QCD corrections to the neutral Higgs-boson masses in the MSSM
• Higgs boson masses and mixings in the complex MSSM with two-loop top-Yukawa-coupling corrections
• Higgs mass prediction in the MSSM at three-loop level in a pure $\overline{\text{DR}}$ context
• Complete two-loop QCD contributions to the lightest Higgs-boson mass in the MSSM with complex parameters
• The light CP-even MSSM Higgs mass resummed to fourth logarithmic order
• Precise prediction of the MSSM Higgs boson masses for low MA
• Two-loop top-Yukawa-coupling corrections to the charged Higgs-boson mass in the MSSM
• On-Shell neutral Higgs bosons in the NMSSM with complex parameters

Cited by in corpus (18)

• Precision calculations in the MSSM Higgs-boson sector with FeynHiggs 2.14
• Higgs-mass predictions in the MSSM and beyond
• Theoretical uncertainties in the MSSM Higgs boson mass calculation
• Precise prediction for the Higgs-Boson Masses in the $\mu \nu$SSM with three right-handed neutrino superfields
• MSSM Higgs Benchmark Scenarios for Run 2 and Beyond: the low $\tan \beta$ region
• Full two-loop QCD corrections to the Higgs mass in the MSSM with heavy superpartners
• Precise prediction for the mass of the light MSSM Higgs boson for the case of a heavy gluino
• All two-loop scalar self-energies and tadpoles in general renormalisable field theories
• Improved MSSM Higgs mass calculation using the 3-loop FlexibleEFTHiggs approach including $x_t$-resummation
• Towards Higgs masses and decay widths satisfying the symmetries in the (N)MSSM
• Two-loop matching of renormalizable operators: general considerations and applications
• The light MSSM Higgs boson mass for large $\tan \beta$ and complex input parameters
• Hybrid calculation of the MSSM Higgs boson masses using the complex THDM as EFT
• Expectation management
• Resummation of terms enhanced by trilinear squark-Higgs couplings in the MSSM
• Curing tachyonic tree-level syndrome in NMSSM light-singlet scenarios
• Fighting off field dependence in MSSM Higgs-mass corrections of order ${\alpha }_t{\alpha }_s$ and ${\alpha }_t^2$
• Higgs Mass Predictions in the CP-Violating High-Scale NMSSM