Integrating out heavy scalars with modified EOMs: matching computation of dimension-eight SMEFT coefficients

Abstract

The shift in focus towards searches for physics beyond the Standard Model (SM) employing model-independent Effective Field Theory (EFT) methods necessitates a rigorous approach to matching to guarantee the validity of the obtained results and constraints. The limits on the leading dimension-six EFT effects can be rather inaccurate for LHC searches that suffer from large uncertainties while exploring an extensive energy range. Similarly, precise measurements can, in principle, test the subleading effects of the operator expansion. In this work, we present an algorithmic approach to automatise matching computations for dimension-eight operators for generic scalar extensions with proper implementation of equations of motion. We devise a step-by-step procedure to obtain the dimension-eight Wilson coefficients (WCs) in a non-redundant basis to arrive at complete matching results. We apply this formalism to a range of scalar extensions of the SM and provide tree-level and loop-suppressed results. Finally, we discuss the relevance of the dimension-eight operators for a range of phenomenological analyses, particularly focusing on Higgs and electroweak physics.

arXiv comment2 figures, 20 tables. Version to be published in Phys.Rev.D

References in corpus (64)

• Theory and phenomenology of two-Higgs-doublet models
• Dimension-Six Terms in the Standard Model Lagrangian
• Gauge Singlet Scalars as Cold Dark Matter
• The Strongly-Interacting Light Higgs
• Renormalization Group Evolution of the Standard Model Dimension Six Operators III: Gauge Coupling Dependence and Phenomenology
• Renormalization Group Evolution of the Standard Model Dimension Six Operators II: Yukawa Dependence
• Renormalization Group Evolution of the Standard Model Dimension Six Operators I: Formalism and lambda Dependence
• The Standard Model as an Effective Field Theory
• Effective Lagrangian for a light Higgs-like scalar
• Effective description of general extensions of the Standard Model: the complete tree-level dictionary
• Updated Global SMEFT Fit to Higgs, Diboson and Electroweak Data
• Dimension-8 Operators in the Standard Model Effective Field Theory
• The HQET/NRQCD Lagrangian to order alpha/m^3
• Top, Higgs, Diboson and Electroweak Fit to the Standard Model Effective Field Theory
• Complete Set of Dimension-8 Operators in the Standard Model Effective Field Theory
• O new physics, where art thou? A global search in the top sector
• The Gauge-Higgs Legacy of the LHC Run I
• Constraining top quark effective theory in the LHC Run II era
• New Mechanism for Neutrino Mass Generation and Triply Charged Higgs Bosons at the LHC
• Effective four-fermion operators in top physics: a roadmap
• CoDEx: Wilson coefficient calculator connecting SMEFT to UV theory
• Feynman Rules for the Standard Model Effective Field Theory in $R_{\xi }$-gauges
• Scalar leptoquarks and the rare B meson decays
• The real singlet scalar dark matter model
• On the impact of dimension-eight SMEFT operators on Higgs measurements
• Matching scalar leptoquarks to the SMEFT at one loop
• Covariant diagrams for one-loop matching
• Higgs decay to two photons at one-loop in the SMEFT
• Complete One-Loop Matching for a Singlet Scalar in the Standard Model EFT
• Higgs coupling measurements at the LHC
• Measurements of production cross sections of WZ and same-sign WW boson pairs in association with two jets in proton-proton collisions at $\sqrt{s}=$ 13 TeV
• EWPD in the SMEFT to dimension eight
• Electroweak and QCD Corrections to $Z$ and $W$ pole observables in the SMEFT
• Naive Dimensional Analysis Counting of Gauge Theory Amplitudes and Anomalous Dimensions
• Field redefinitions in effective theories at higher orders
• Standard Model with a real singlet scalar and inflation
• Higgs Decays to $ZZ$ and $Z\gamma$ in the SMEFT: an NLO analysis
• Towards the renormalisation of the Standard Model effective field theory to dimension eight: Bosonic interactions I
• Towards the ultimate differential SMEFT analysis
• SMEFT analysis of vector boson scattering and diboson data from the LHC Run II
• Positivity bounds in the Standard Model effective field theory beyond tree level
• The decay $h\to \gamma \gamma$ in the Standard-Model Effective Field Theory
• Integrating out heavy fields in the path integral using the background-field method: general formalism
• Generation of Neutrino mass from new physics at TeV scale and Multi-lepton Signatures at the LHC
• Electroweak Corrections to Higgs to $\gamma \gamma$ and $W^{+}{W}^{-}$ in the SMEFT
• A Step Toward Model Comparison: Connecting Electroweak-Scale Observables to BSM through EFT and Bayesian Statistics
• Leptoquark Option for $B$-meson Anomalies and Leptonic Signatures
• Studies of Dimension-Six EFT effects in Vector Boson Scattering
• Search for new physics in top quark production with additional leptons in proton-proton collisions at $\sqrt{s}=$ 13 TeV using effective field theory
• Classifying Standard Model Extensions Effectively with Precision Observables
• Neutrino seesaw models at one-loop matching: Discrimination by effective operators
• Neutrino mass generation with large $SU(2{)}_L$ multiplets under local $U(1{)}_{L_{\mu }-L_{\tau }}$ symmetry
• One-loop Matching of the Type-II Seesaw Model onto the Standard Model Effective Field Theory
• Effective Beta-Functions for Effective Field Theory
• Constraints on anomalous quartic gauge couplings by $\gamma \gamma \to W^{+}{W}^{-}$ scattering
• Reconciling $(g-2{)}_{\mu }$ and charged lepton flavour violating processes through a doubly charged scalar
• Precision SMEFT bounds from the VBF Higgs at high transverse momentum
• Singlet night in Feynman-ville: one-loop matching of a real scalar
• SM EFT effects in Vector-Boson Scattering at the LHC
• Equations of Motion for the Standard Model Effective Field Theory: Theory and Applications
• 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
• Effective field theory versus UV-complete model: vector boson scattering as a case study
• Flavorful Electroweak Precision Observables in the Standard Model Effective Field Theory

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• A Proof of Concept for Matchete: An Automated Tool for Matching Effective Theories
• Computing Tools for Effective Field Theories
• Relevance of one-loop SMEFT matching in the 2HDM
• EFT, decoupling, Higgs boson mixing, and higher dimensional operators