Covariant diagrams for one-loop matching

Abstract

We present a diagrammatic formulation of recently-revived covariant functional approaches to one-loop matching from an ultraviolet (UV) theory to a low-energy effective field theory. Various terms following from a covariant derivative expansion (CDE) are represented by diagrams which, unlike conventional Feynman diagrams, involve gauge-covariant quantities and are thus dubbed "covariant diagrams." The use of covariant diagrams helps organize and simplify one-loop matching calculations, which we illustrate with examples. Of particular interest is the derivation of UV model-independent universal results, which reduce matching calculations of specific UV models to applications of master formulas. We show how such derivation can be done in a more concise manner than the previous literature, and discuss how additional structures that are not directly captured by existing universal results, including mixed heavy-light loops, open covariant derivatives, and mixed statistics, can be easily accounted for.

54 pages, 8 tables; v2: matches published version

References in corpus (5)

• The Universal One-Loop Effective Action
• Integrating out heavy particles with functional methods: a simplified framework
• Mixed Heavy-Light Matching in the Universal One-Loop Effective Action
• One-loop effective lagrangians after matching
• One-loop Matching and Running with Covariant Derivative Expansion

Cited by in corpus (70)

• The Standard Model as an Effective Field Theory
• Effective description of general extensions of the Standard Model: the complete tree-level dictionary
• Updated Global SMEFT Fit to Higgs, Diboson and Electroweak Data
• New physics searches in nuclear and neutron $\beta$ decay
• DsixTools: The Standard Model Effective Field Theory Toolkit
• Compilation of low-energy constraints on 4-fermion operators in the SMEFT
• The Standard Model effective field theory at work
• $\text{HEPfit}$: a Code for the Combination of Indirect and Direct Constraints on High Energy Physics Models
• A Proof of Concept for Matchete: An Automated Tool for Matching Effective Theories
• Current and future constraints on Higgs couplings in the nonlinear Effective Theory
• Matching scalar leptoquarks to the SMEFT at one loop
• On the future of Higgs, electroweak and diboson measurements at lepton colliders
• Complete One-Loop Matching for a Singlet Scalar in the Standard Model EFT
• Extending the Universal One-Loop Effective Action: Heavy-Light Coefficients
• Convex Geometry Perspective to the (Standard Model) Effective Field Theory Space
• MatchingTools: a Python library for symbolic effective field theory calculations
• DsixTools 2.0: The Effective Field Theory Toolkit
• Complete One-Loop Renormalization of the Higgs-Electroweak Chiral Lagrangian
• Loops and trees in generic EFTs
• Completing the scalar and fermionic Universal One-Loop Effective Action
• One-loop matching in the SMEFT extended with a sterile neutrino
• The Fermionic Universal One-Loop Effective Action
• STrEAMlining EFT Matching
• Functional Prescription for EFT Matching
• Evanescent Operators in One-Loop Matching Computations
• SuperTracer: A Calculator of Functional Supertraces for One-Loop EFT Matching
• Integrating out heavy fields in the path integral using the background-field method: general formalism
• Integrating Out New Fermions at One Loop
• Complete One-loop Matching of the Type-I Seesaw Model onto the Standard Model Effective Field Theory
• One-loop running of dimension-six Higgs-neutrino operators and implications of a large neutrino dipole moment
• A Step Toward Model Comparison: Connecting Electroweak-Scale Observables to BSM through EFT and Bayesian Statistics
• Standard Model parameters in the tadpole-free pure $\overline{\mathrm{MS}}$ scheme
• Hilbert Series and Plethystics: Paving the path towards 2HDM- and MLRSM-EFT
• Classifying Standard Model Extensions Effectively with Precision Observables
• Effective field theory approach to trans-TeV supersymmetry: covariant matching, Yukawa unification and Higgs couplings
• One-loop Matching of the Type-II Seesaw Model onto the Standard Model Effective Field Theory
• Neutrino seesaw models at one-loop matching: Discrimination by effective operators
• Universal Scalar Leptoquark Action for Matching
• Functional Matching and Renormalization Group Equations at Two-Loop Order
• Extending the Universal One-Loop Effective Action by Regularization Scheme Translating Operators
• Radiative Decays of Charged Leptons in the Seesaw Effective Field Theory with One-loop Matching
• The effective action for gauge bosons
• Functional Methods for Heavy Quark Effective Theory
• CP violation in 2HDM and EFT: the ZZZ vertex
• Singlet night in Feynman-ville: one-loop matching of a real scalar
• Computing Tools for Effective Field Theories
• Axion Effective Action
• Integrating out heavy scalars with modified EOMs: matching computation of dimension-eight SMEFT coefficients
• Matching renormalisable couplings: simple schemes and a plot
• EFT matching from analyticity and unitarity
• Effective field theory and scalar extensions of the top quark sector
• EFT Diagrammatica II: Tracing the UV origin of bosonic D6 CPV and D8 SMEFT operators
• Anomalies from an effective field theory perspective
• Axions and Superfluidity in Weyl Semimetals
• Renormalization-group running of dimension-8 four-fermion operators in the SMEFT
• Two-loop matching of renormalizable operators: general considerations and applications
• Standard Model Effective Field Theory: Integrating out Neutralinos and Charginos in the MSSM
• New Covariant Feynman Rules for Effective Field Theories
• One-loop Matching of Scotogenic Model onto Standard Model Effective Field Theory up to Dimension 7
• The Universal One-Loop Effective Action with Gravity
• Electroweak phase transition triggered by fermion sector
• Complete One-loop Structure of the Type-(I+II) Seesaw Effective Field Theory
• XEFT, the challenging path up the hill: dim = 6 and dim = 8
• Anomalies From the Covariant Derivative Expansion
• BSM Benchmarks for Effective Field Theories in Higgs and Electroweak Physics
• Theoretical aspects of the study of top quark properties
• Two-loop dimension Six Effective Action: Integrating Out Heavy Scalar
• One Formula To Match Them All: The Bispinor Universal One-Loop Effective Action
• From Models to SMEFT and Back?
• Symmetry Restoration in the SMEFT: Finite Counterterms for a Non-Anticommuting ${\gamma }_5$