Higgs Boson Mass Corrections at Three-Loops in the Top-Yukawa Sector of the Standard Model
arXiv:2301.00076 · doi:10.1103/PhysRevD.108.053007
Abstract
The search for new physics signals in Higgs precision measurements plays a pivotal role in the High-Luminosity Large Hadron Collider (HL-LHC) and future colliders programs. The Higgs properties are expected to be measured with great experimental precision, implying higher-order perturbative computations of the electroweak parameters from the theoretical side. In particular, the renormalized Higgs boson mass parameter in the Standard Model shows significant variation around the electroweak scale, resulting in a lower-bound theoretical uncertainty that exceeds future collider expectations. A more stable result under the renormalization group can be computed from a non-zero external momentum Higgs self-energy, for which available calculations include 3-loop corrections in the QCD sector. In this work, we present an additional contribution by estimating the leading non-QCD 3-loop corrections to the mass of the Higgs boson in the top-Yukawa sector of order . The momentum-dependent Higgs self-energy is computed in the tadpole-free scheme for the Higgs vacuum expectation value in the Landau gauge, and the explicit dependence upon the Higgs boson and top quark masses is shown. The obtained result is expressed in dimensional regularization as a superposition of a set of master integrals with coefficients that are free of poles in four space-time dimensions, and the corrections are evaluated numerically by the sector decomposition method.
10 pages, 4 figures
References in corpus (21)
- Measurement of the Positive Muon Anomalous Magnetic Moment to 0.46 ppm
- FIRE5: a C++ implementation of Feynman Integral REduction
- The five-loop beta function of Yang-Mills theory with fermions
- Quark mass relations to four-loop order
- Feynman Integral Evaluation by a Sector decomposiTion Approach (FIESTA)
- Resolution of singularities for multi-loop integrals
- From loops to trees by-passing Feynman's theorem
- FIESTA5: numerical high-performance Feynman integral evaluation
- Higgs-mass predictions in the MSSM and beyond
- How to choose master integrals
- Anomalous dimensions of gauge fields and gauge coupling beta-functions in the Standard Model at three loops
- Three-loop SM beta-functions for matrix Yukawa couplings
- Two-loop electroweak threshold corrections in the Standard Model
- Electroweak renormalization based on gauge-invariant vacuum expectation values of non-linear Higgs representations: 1. Standard Model
- High Precision Calculations of the Higgs Boson Mass
- Three-loop QCD corrections to the electroweak boson masses
- Electroweak renormalization based on gauge-invariant vacuum expectation values of non-linear Higgs representations: 2. extended Higgs sectors
- Notes on interplay of the QCD and EW perturbative corrections to the pole-running top-quark mass ratio
- Renormalized -finite master integrals and their virtues: the three-loop self energy case
- Three-loop master integrals for the Higgs boson self-energy with internal top-quarks and W-bosons
- Evaluation of three-loop self-energy master integrals with four or five propagators