Four-loop Standard Model effective potential at leading order in QCD

Abstract

The leading QCD part of the four-loop contribution to the effective potential for the Standard Model Higgs field is found. As a byproduct, I also find the corresponding contribution to the four-loop beta function of the Higgs self-interaction coupling.

15 pages

References in corpus (17)

• Cosmological implications of the Higgs mass measurement
• The Probable Fate of the Standard Model
• Quark mass relations to four-loop order
• Quark Mass and Field Anomalous Dimensions to $\mathcal{O}({\alpha }_s^5)$
• Taming Infrared Divergences in the Effective Potential
• Taming the Goldstone contributions to the effective potential
• Single Scale Tadpoles and O(GF mt^2 as^3) Corrections to the rho Parameter
• Four-Loop QCD Corrections to the Rho Parameter
• Three-loop Standard Model effective potential at leading order in strong and top Yukawa couplings
• Higgs boson mass in the Standard Model at two-loop order and beyond
• (No) Eternal Inflation and Precision Higgs Physics
• Decoupling of heavy quarks at four loops and effective Higgs-fermion coupling
• Pole mass of the W boson at two-loop order in the pure MS-bar scheme
• Z boson pole mass at two-loop order in the pure MS-bar scheme
• Application of the DRA method to the calculation of the four-loop QED-type tadpoles
• Hypergeometric representation of a four-loop vacuum bubble
• Standard and epsilon-finite Master Integrals for the rho-Parameter

Cited by in corpus (30)

• Cosmological phase transitions: from perturbative particle physics to gravitational waves
• Higgs-mass predictions in the MSSM and beyond
• Precise Values of Running Quark and Lepton Masses in the Standard Model
• Evaluation of the general 3-loop vacuum Feynman integral
• Avoiding the Goldstone Boson Catastrophe in general renormalisable field theories at two loops
• mr: a C++ library for the matching and running of the Standard Model parameters
• Effective potential at three loops
• Gauge and Yukawa coupling beta functions of two-Higgs-doublet models to three-loop order
• On three-loop RGE for the Higgs sector of 2HDM
• The light CP-even MSSM Higgs mass resummed to fourth logarithmic order
• Gauge coupling beta functions to four-loop order in the Standard Model
• False vacuum decay: an introductory review
• Standard Model parameters in the tadpole-free pure $\overline{\mathrm{MS}}$ scheme
• Full two-loop QCD corrections to the Higgs mass in the MSSM with heavy superpartners
• Two-loop effective potential for generalized gauge fixing
• Top-quark pole mass in the tadpole-free MS-bar scheme
• Uncertainties in the Lightest $CP$ Even Higgs Boson Mass Prediction in the Minimal Supersymmetric Standard Model: Fixed Order Versus Effective Field Theory Prediction
• Resummation of Goldstone boson contributions to the MSSM effective potential
• General scalar renormalisation group equations at three-loop order
• 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
• Charge and color breaking constraints in the Minimal Supersymmetric Standard Model associated with the bottom Yukawa coupling
• The Standard Model at 200 GeV
• A Procedure g5anchor to Anchor ${\gamma }_5$ in Feynman Diagrams for the Standard Model
• Matching relations for decoupling in the Standard Model at two loops and beyond
• Three-loop QCD corrections to the electroweak boson masses
• The light MSSM Higgs boson mass for large $\tan \beta$ and complex input parameters
• Partially composite supersymmetry
• Three-loop effective potential of general scalar theory via differential equations
• An advanced precision analysis of the SM vacuum stability