Two-loop matching of renormalizable operators: general considerations and applications

Abstract

Low-energy effective field theories (EFT) encode information about the physics at high energies--i.e., the high-energy theory (HET). To extract this information the EFT and the HET have to be matched to each other. At the one-loop level, general results for the matching of renormalizable operators have already been obtained in the literature. In the present paper, we take a step towards a better understanding of renormalizable operator matching at the two-loop level: Focusing on the diagrammatic method, we discuss in detail the various contributions to two-loop matching conditions and compare different approaches to derive them. Moreover, we discuss which observables are best suited for the derivation of matching conditions. As a concrete application, we calculate the $\mathcal{O}\left({\alpha }_t{\alpha }_s\right)$ and $\mathcal{O}\left({\alpha }_t^2\right)$ matching conditions of the scalar four-point couplings between the Standard Model (SM) and the Two-Higgs-Doublet Model (THDM) as well as the THDM and the Minimal Supersymmetric Standard Model (MSSM). We use the derived formulas to improve the prediction of the SM-like Higgs mass in the MSSM using the THDM as EFT.

arXiv comment42 pages, 4 figures, 4 ancillary files; matches version published in JHEP

References in corpus (64)

• Automatized One-Loop Calculations in 4 and D dimensions
• Generating Feynman Diagrams and Amplitudes with FeynArts 3
• FeynHiggs: a program for the calculation of the masses of the neutral CP-even Higgs bosons in the MSSM
• SARAH 4: A tool for (not only SUSY) model builders
• Towards High-Precision Predictions for the MSSM Higgs Sector
• The Masses of the Neutral CP-even Higgs Bosons in the MSSM: Accurate Analysis at the Two-Loop Level
• The Higgs Boson Masses and Mixings of the Complex MSSM in the Feynman-Diagrammatic Approach
• Automatic Calculation of supersymmetric Renormalization Group Equations and Self Energies
• High-precision predictions for the light CP-even Higgs Boson Mass of the MSSM
• From Superpotential to Model Files for FeynArts and CalcHep/CompHep
• The Renormalization-Group Improved Higgs Sector of the Minimal Supersymmetric Model
• Probing High-Scale and Split Supersymmetry with Higgs Mass Measurements
• Application of the Background-Field Method to the electroweak Standard Model
• Two-loop Renormalization Group Equations in General Gauge Field Theories
• Higgs Mass and Unnatural Supersymmetry
• The five-loop Beta function for a general gauge group and anomalous dimensions beyond Feynman gauge
• Reconciling EFT and hybrid calculations of the light MSSM Higgs-boson mass
• Precise prediction for the light MSSM Higgs boson mass combining effective field theory and fixed-order calculations
• Reduction of general two-loop self-energies to standard scalar integrals
• Precise Estimates of the Higgs Mass in Heavy SUSY
• The Universal One-Loop Effective Action
• CoDEx: Wilson coefficient calculator connecting SMEFT to UV theory
• Integrating out heavy particles with functional methods: a simplified framework
• Renormalization of vacuum expectation values in spontaneously broken gauge theories
• Precision calculations in the MSSM Higgs-boson sector with FeynHiggs 2.14
• MSSM Higgs Boson Searches at the LHC: Benchmark Scenarios for Run 2 and Beyond
• Higgs Bosons in Heavy Supersymmetry with an Intermediate $m_A$
• Covariant diagrams for one-loop matching
• Results and Techniques of Multi-Loop Calculations
• Extending the Universal One-Loop Effective Action: Heavy-Light Coefficients
• Mixed Heavy-Light Matching in the Universal One-Loop Effective Action
• PyR@TE: Renormalization Group Equations for General Gauge Theories
• One-loop effective lagrangians after matching
• Renormalization of vacuum expectation values in spontaneously broken gauge theories: Two-loop results
• PyR@TE 3
• Improved determination of the Higgs mass in the MSSM with heavy superpartners
• Revisiting RGEs for general gauge theories
• Renormalization of Non-Semisimple Gauge Models with the Background Field Method
• Completing the scalar and fermionic Universal One-Loop Effective Action
• The Fermionic Universal One-Loop Effective Action
• Constraints on 3- and 4-loop $\beta$-functions in a general four-dimensional Quantum Field Theory
• PyR@TE 2: A Python tool for computing RGEs at two-loop
• CP Violation in Heavy MSSM Higgs Scenarios
• Vacuum stability and supersymmetry at high scales with two Higgs doublets
• Theoretical uncertainties in the MSSM Higgs boson mass calculation
• Breit-Wigner approximation for propagators of mixed unstable states
• On three-loop RGE for the Higgs sector of 2HDM
• The light CP-even MSSM Higgs mass resummed to fourth logarithmic order
• MSSM Higgs Boson Production via Gluon Fusion: The Large Gluino Mass Limit
• Precise prediction of the MSSM Higgs boson masses for low MA
• 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
• Higgs alignment from extended supersymmetry
• Uncertainties in the Lightest $CP$ Even Higgs Boson Mass Prediction in the Minimal Supersymmetric Standard Model: Fixed Order Versus Effective Field Theory Prediction
• Pole mass determination in presence of heavy particles
• Extending the Universal One-Loop Effective Action by Regularization Scheme Translating Operators
• Precise prediction for the mass of the light MSSM Higgs boson for the case of a heavy gluino
• Impact of CP-violating interference effects on MSSM Higgs searches
• Automatised matching between two scalar sectors at the one-loop level
• Functional Methods for Heavy Quark Effective Theory
• Matching renormalisable couplings: simple schemes and a plot
• Improved MSSM Higgs mass calculation using the 3-loop FlexibleEFTHiggs approach including $x_t$-resummation
• 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

Cited by in corpus (8)

• Higgs-mass predictions in the MSSM and beyond
• Expectation management
• External leg corrections as an origin of large logarithms
• 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
• New Tools for Dissecting the General 2HDM