Complete two-loop Yukawa-induced running of the Higgs-gluon coupling in SMEFT

Abstract

We compute the two-loop renormalisation group equation for the effective Higgs to gluon coupling in Standard Model Effective Field Theory. Concretely, we present the contributions generated by the operators belonging to class 3 and 7 in the Warsaw basis, completing the two-loop renormalization program of the Higgs-gluon coupling proportional to the top Yukawa coupling for potentially tree-level generated operators. We investigate the phenomenological impact of the contributions in fits to Higgs data both in a bottom-up approach and a top-down approach in terms of UV models with vector-like quarks.

24 pages

References in corpus (22)

• FeynRules - Feynman rules made easy
• AMFlow: a Mathematica package for Feynman integrals computation via Auxiliary Mass Flow
• FiniteFlow: multivariate functional reconstruction using finite fields and dataflow graphs
• A Higgs-Higgs bound state due to New Physics at a TeV
• FeynCalc 10: Do multiloop integrals dream of computer codes?
• A Proof of Concept for Matchete: An Automated Tool for Matching Effective Theories
• DsixTools 2.0: The Effective Field Theory Toolkit
• eHDECAY: an Implementation of the Higgs Effective Lagrangian into HDECAY
• Higgs ultraviolet softening
• Review of searches for vector-like quarks, vector-like leptons, and heavy neutral leptons in proton-proton collisions at $\sqrt{s}$ = 13 TeV at the CMS experiment
• Sigma Decomposition
• $\text{RGESolver}$ : a $\text{C++}$ library to perform Renormalization Group evolution in the Standard Model Effective Theory
• Sensitivity to BSM effects in the Higgs $p_T$ spectrum within SMEFT
• Functional Matching and Renormalization Group Equations at Two-Loop Order
• Loop counting matters in SMEFT
• Electroweak input schemes and universal corrections in SMEFT
• Two-loop running effects in Higgs physics in Standard Model Effective Field Theory
• How large can the Light Quark Yukawa couplings be?
• Constraining new physics effective interactions via a global fit of electroweak, Drell-Yan, Higgs, top, and flavour observables
• Renormalisation group effects in SMEFT for di-Higgs production
• From the EFT to the UV: the complete SMEFT one-loop dictionary
• Two-loop anomalous dimensions for baryon-number-violating operators in SMEFT