Complete one-loop matching of the general MSSM onto SMEFT in the Warsaw basis, including all SUSY-governed correlations among Wilson coefficients.
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The Standard Model as an Effective Field Theory
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abstract
Projecting measurements of the interactions of the known Standard Model (SM) states into an effective field theory (EFT) framework is an important goal of the LHC physics program. The interpretation of measurements of the properties of the Higgs-like boson in an EFT allows one to consistently study the properties of this state, while the SM is allowed to eventually break down at higher energies. In this review, basic concepts relevant to the construction of such EFTs are reviewed pedagogically. Electroweak precision data is discussed as a historical example of some importance to illustrate critical consistency issues in interpreting experimental data in EFTs. A future precision Higgs phenomenology program can benefit from the projection of raw experimental results into consistent field theories such as the SM, the SM supplemented with higher dimensional operators (the SMEFT) or an Electroweak chiral Lagrangian with a dominantly $J^P = 0^+$ scalar (the HEFT). We discuss the developing SMEFT and HEFT approaches, that are consistent versions of such EFTs, systematically improvable with higher order corrections, and comment on the pseudo-observable approach. We review the challenges that have been overcome in developing EFT methods for LHC studies, and the challenges that remain.
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representative citing papers
Complete one-loop SMEFT dim-6 dictionary for arbitrary heavy fermion and scalar UV completions, added to the SOLD package with example application to B to K nu nu anomaly.
S-matrix consistency forces the complete gluon amplitude structure and requires Yang-Mills Lie algebra plus Higgs mechanism for unitarised massive vector boson scattering.
A modification to the top-Higgs Yukawa coupling in SMEFT induces a two-loop shift in the W mass through a large anomalous dimension, providing a new indirect probe via electroweak precision observables.
Complete positivity bounds for the 22 aQGC coefficients in SMEFT restrict the viable parameter space to approximately 0.0313% of the naive total.
Derives an exact integral representation of the left-hand cut for arbitrary isospin and angular momentum partial waves as an integral over right-hand cut imaginary parts.
MATCHA is a new software package for automated LO matching of arbitrary UV models to HEFT, capturing O(1) non-decoupling effects via FeynRules inputs.
Proof-of-concept for NLO matrix element method via POWHEG projections applied to fully leptonic WW production in SMEFT, demonstrating near-optimal classification of BSM versus SM events using lepton correlations.
The work supplies a modular SMEFT likelihood for EWPD that includes NLO effects and five input schemes, then combines it with LHC measurements to tighten constraints on lepton-flavor universality and quark coupling asymmetries.
A chiral EFT framework is constructed for |ΔB|=2 interactions that matches SMEFT operators to low-energy baryon processes and identifies new dinucleon decay channels sensitive to previously unconstrained operator structures.
Computes one-loop mixing of bosonic and two-fermion interactions into two-fermion operators in dim-8 SMEFT, leaving only four-fermion to two-fermion mixing to finish the renormalization program.
Tau weak dipole moments already rank among the leading probes of tau dipole operators and will become dominant at FCC-ee and HL-LHC.
NLO QCD and EW corrections in dimension-6 SMEFT are provided for all 2- and 4-body Higgs decays, Z/W decays with EW precision observables, and e+e- to ZH at 240, 365, and 500 GeV, including the total Higgs width and a differential distribution, all in POPxf format.
HEFT admits two consistent power counting schemes, one with a single low-energy scale v and one with two scales v < f, each allowing systematic truncation of operators and amplitudes for any normalization choice.
High-energy amplitude ratios for longitudinal di-boson production approach unity in the SM and dimension-6 SMEFT but not necessarily in HEFT, making the W±_L Z_L to W±_L h cross section ratio a promising discriminator between linear and non-linear electroweak symmetry at the HL-LHC.
Future e+e- colliders can constrain new physics through precision Higgs and electroweak measurements in Higgs-coupling, EFT, and SMEFT frameworks, with updated SMEFiT code released.
High-energy astrophysical neutrinos can constrain the running of neutrino mixing parameters with energy, with future multi-detector setups forecast to set strong bounds despite astrophysical uncertainties.
Interference effects and extra decay channels in N2HDM resonant triple Higgs production significantly alter kinematic distributions, limiting simplified approximations.
Higher-order QCD predictions for pp to tW enable three-parameter SMEFT fits that constrain effective new-physics scales to 0.5–2 TeV using LHC Run II and III data.
CMS performs a combined SMEFT fit to multiple LHC measurements and precision data, yielding individual constraints on 64 Wilson coefficients and 43 linear combinations.
In the flavor-gauged two Higgs doublet model, h to Z gamma receives unique modifications from f fbar Z vertex corrections while both decays are sensitive to charged Higgs loops, with viable parameter space identified under current limits.
Obtains 95% CL exclusion and 3σ/5σ sensitivity limits on a_τ and d_τ from PbPb collisions at FCC-hh with comparisons to other future colliders.
Review advocating correlations among flavour observables as direct tests for specific new physics models beyond global fits to Wilson coefficients.
The review summarizes the baseline SM+GR+Lambda-CDM framework, lists major anomalies and missing pieces, surveys theoretical and experimental approaches, and outlines a staged roadmap organized by decision points.