Standard Model beta-functions to three-loop order and vacuum stability
arXiv:1411.2843
Abstract
Since the discovery of a Higgs particle the effective Higgs potential of the Standard Model or extensions and the stability of the ground state corresponding to its minimum at the electroweak scale have been subject to a lot of investigation. The vacuum expectation value of the scalar SU(2) doublet field in the Standard Model, which is responsible for the masses of elementary particles, may in fact not be at the global minimum of the effective Higgs potential. The question whether there is a deeper minimum at some large scale is closely linked to the behaviour of the running quartic Higgs self-interaction . In this talk an update on the analysis of the evolution of this coupling is given. We use three-loop beta-functions for the Standard Model couplings, two-loop matching between on-shell and MSbar quantities and compare the theoretical precision achieved in this way to the precision in the latest experimental values for the key parameters.
Contribution to the proceedings of the 42nd ITEP Winter School of Physics, Moscow
References in corpus (17)
- Combined results of searches for the standard model Higgs boson in pp collisions at sqrt(s) = 7 TeV
- Higgs mass implications on the stability of the electroweak vacuum
- Higgs boson mass and new physics
- Combined search for the Standard Model Higgs boson using up to 4.9 fb-1 of pp collision data at sqrt(s) = 7 TeV with the ATLAS detector at the LHC
- Three-loop β-functions for top-Yukawa and the Higgs self-interaction in the Standard Model
- Gauge Coupling Beta Functions in the Standard Model to Three Loops
- Higgs boson and Top quark masses as tests of Electroweak Vacuum Stability
- Yukawa coupling beta-functions in the Standard Model at three loops
- Higgs self-coupling beta-function in the Standard Model at three loops
- On the relation between the fermion pole mass and MSbar Yukawa coupling in the standard model
- β-function for the Higgs self-interaction in the Standard Model at three-loop level
- Multi-parameter fits to the t-tbar threshold observables at a future e+e- linear collider
- Top quark mass measurements at and above threshold at CLIC
- Renormalization constants and beta functions for the gauge couplings of the Standard Model to three-loop order
- On the difference between the pole and the MSbar masses of the top quark at the electroweak scale
- Three-loop Higgs self-coupling beta-function in the Standard Model with complex Yukawa matrices
- Vacuum stability of the effective Higgs potential in the Minimal Supersymmetric Standard Model