The paper delivers the first complete non-redundant dimension-six operator basis for SMEFT at finite temperature using the Hilbert series on R^3 x S^1.
hub Canonical reference
Dimension-Six Terms in the Standard Model Lagrangian
Canonical reference. 80% of citing Pith papers cite this work as background.
76
Pith papers citing it
Background
80% of classified citations
abstract
When the Standard Model is considered as an effective low-energy theory, higher dimensional interaction terms appear in the Lagrangian. Dimension-six terms have been enumerated in the classical article by Buchmueller and Wyler [3]. Although redundance of some of those operators has been already noted in the literature, no updated complete list has been published to date. Here we perform their classification once again from the outset. Assuming baryon number conservation, we find 15 + 19 + 25 = 59 independent operators (barring flavour structure and Hermitian conjugations), as compared to 16 + 35 + 29 = 80 in Ref.[3]. The three summed numbers refer to operators containing 0, 2 and 4 fermion fields. If the assumption of baryon number conservation is relaxed, 4 new operators arise in the four-fermion sector.
hub tools
citation-role summary
background 24
method 4
baseline 1
dataset 1
citation-polarity summary
representative citing papers
Complete one-loop matching of the general MSSM onto SMEFT in the Warsaw basis, including all SUSY-governed correlations among Wilson coefficients.
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.
Bayesian model selection over SMEFT operator subsets using a genetic algorithm and BIC approximation is applied to electroweak, Higgs, top and diboson data, finding no evidence for new physics and improved Wilson coefficient posteriors compared to global fits.
Yukawa hierarchies are generated from powers of fully anarchic spurions in higher SU(2) and SU(3) flavor representations via progressive rank lifting through composite outer products, with explicit models and predictions for FCNCs and stochastic gravitational waves.
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.
A minimal basis with fewer terms and simpler contractions is given for non-derivative baryon-number-violating operators in SMEFT up to mass dimension 11.
Classification of 440 minimal UV completions for SMEFT dim-9 operators in short-range 0νββ decay, including 324 with vector mediators.
Nucleon energy correlators access linear effects from light-quark dipole operators via azimuthal asymmetries in the target fragmentation region at the EIC.
Formulates nTGC form factors from dim-8 SMEFT operators compatible with electroweak symmetry breaking and applies machine learning to fermion angular distributions to probe new physics scales up to multi-TeV in ZZ production at CEPC, FCC-ee, ILC and CLIC.
Proposes a numerical cross-validation procedure for SMEFT Monte Carlo implementations by comparing linearized EFT amplitudes and their SM interferences at fixed points.
A matching framework from arbitrary KSVZ UV completions to SMEFT and ALP EFT yields robust operator bounds from global fits that often dominate direct ALP searches except when mass mixing occurs.
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.
Quantum information observables in LHC top quark pair production are modified by SMEFT dimension-6 operators in ways that depend on their CP properties, offering a complementary probe beyond standard observables.
Leptophilic ALPs with m_a > f_a can explain the electron anomalous magnetic moment tension over a large parameter space and are testable via μ→e conversion.
Doubly charmed baryon decays provide symmetry-protected null tests for nonfactorizable QCD and lepton-universality ratios sensitive to new physics at multi-TeV scales.
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.
Matchotter automates one-loop finite-temperature dimensional reduction and supersoft matching for generic Lagrangians using functional techniques.
A 10 TeV muon collider could improve existing bounds on muon-Higgs-gauge and muon-top interactions by up to an order of magnitude over current limits and FCC-ee projections.
No weak scale triggers exist in the SMEFT up to dimension six (and likely eight) that can solve the hierarchy problem far above the weak scale.
A forward neutrino detector at a muon collider can exceed current and upcoming bounds on non-standard neutrino interactions by exploiting high neutrino flux, known flavor composition, and chirality.
A hybrid NSBI technique is presented for inferring the Higgs trilinear coupling via off-shell production in SMEFT, achieving near-theoretical-optimum sensitivity with expected HL-LHC constraints.
Develops spinor-helicity formalism generalizing partial wave unitarity bounds for multi-particle scattering and spin-2 or higher-spin theories.
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.
citing papers explorer
-
Finite-temperature operator basis on $\mathbb{R}^3 \times S^1$ for SMEFT
The paper delivers the first complete non-redundant dimension-six operator basis for SMEFT at finite temperature using the Hilbert series on R^3 x S^1.
-
SUSY meets SMEFT: Complete one-loop matching of the general MSSM
Complete one-loop matching of the general MSSM onto SMEFT in the Warsaw basis, including all SUSY-governed correlations among Wilson coefficients.
-
From the EFT to the UV: the complete SMEFT one-loop dictionary
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.
-
Exploring the SMEFT landscape: Bayesian Model Selection for indirect discovery
Bayesian model selection over SMEFT operator subsets using a genetic algorithm and BIC approximation is applied to electroweak, Higgs, top and diboson data, finding no evidence for new physics and improved Wilson coefficient posteriors compared to global fits.
-
Hierarchies from Higher Flavor Spin
Yukawa hierarchies are generated from powers of fully anarchic spurions in higher SU(2) and SU(3) flavor representations via progressive rank lifting through composite outer products, with explicit models and predictions for FCNCs and stochastic gravitational waves.
-
When Two Loops Matter: Electroweak Precision in the SMEFT
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.
-
Basis for non-derivative baryon-number-violating operators
A minimal basis with fewer terms and simpler contractions is given for non-derivative baryon-number-violating operators in SMEFT up to mass dimension 11.
-
Complete UV Resonances of SMEFT Dim-9 Operators for Short-range Neutrinoless Double Beta Decay
Classification of 440 minimal UV completions for SMEFT dim-9 operators in short-range 0νββ decay, including 324 with vector mediators.
-
Nucleon Energy Correlators as a Probe of Light-Quark Dipole Operators at the Electron-Ion Collider
Nucleon energy correlators access linear effects from light-quark dipole operators via azimuthal asymmetries in the target fragmentation region at the EIC.
-
Probing Neutral Triple Gauge Couplings via $ZZ$ Production at $e^+e^-$ Colliders with Machine Learning
Formulates nTGC form factors from dim-8 SMEFT operators compatible with electroweak symmetry breaking and applies machine learning to fermion angular distributions to probe new physics scales up to multi-TeV in ZZ production at CEPC, FCC-ee, ILC and CLIC.
-
Proposal for the validation of Monte Carlo implementations of the standard model effective field theory
Proposes a numerical cross-validation procedure for SMEFT Monte Carlo implementations by comparing linearized EFT amplitudes and their SM interferences at fixed points.
-
The KSVZ Atlas: A Unified SMEFT-ALP Framework
A matching framework from arbitrary KSVZ UV completions to SMEFT and ALP EFT yields robust operator bounds from global fits that often dominate direct ALP searches except when mass mixing occurs.
-
Matrix element method at NLO: A fine proof of concept in POWHEG
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.
-
Quantumness of top quark pairs produced at LHC within SMEFT framework
Quantum information observables in LHC top quark pair production are modified by SMEFT dimension-6 operators in ways that depend on their CP properties, offering a complementary probe beyond standard observables.
-
Crossing into the $m_a > f_a$ Region for Leptophilic ALPs
Leptophilic ALPs with m_a > f_a can explain the electron anomalous magnetic moment tension over a large parameter space and are testable via μ→e conversion.
-
Null Tests and Lepton Universality in $\Xi_{cc}$ Baryon Decays
Doubly charmed baryon decays provide symmetry-protected null tests for nonfactorizable QCD and lepton-universality ratios sensitive to new physics at multi-TeV scales.
-
EFT Pathways to $|\Delta B| =2$: Chiral Constructions and Phenomenology
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.
-
Matchotter: An Automated Tool for Dimensional Reduction at Finite Temperature
Matchotter automates one-loop finite-temperature dimensional reduction and supersoft matching for generic Lagrangians using functional techniques.
-
Probing Higgs and Top Interactions through the Muon Lens at multi-TeV Muon Colliders
A 10 TeV muon collider could improve existing bounds on muon-Higgs-gauge and muon-top interactions by up to an order of magnitude over current limits and FCC-ee projections.
-
Weak Scale Triggers in the SMEFT
No weak scale triggers exist in the SMEFT up to dimension six (and likely eight) that can solve the hierarchy problem far above the weak scale.
-
Non-Standard Neutrino Interactions at a Muon Collider Neutrino Detector
A forward neutrino detector at a muon collider can exceed current and upcoming bounds on non-standard neutrino interactions by exploiting high neutrino flux, known flavor composition, and chirality.
-
Neural simulation-based inference of the Higgs trilinear self-coupling via off-shell Higgs production
A hybrid NSBI technique is presented for inferring the Higgs trilinear coupling via off-shell production in SMEFT, achieving near-theoretical-optimum sensitivity with expected HL-LHC constraints.
-
Amplitudes and partial wave unitarity bounds
Develops spinor-helicity formalism generalizing partial wave unitarity bounds for multi-particle scattering and spin-2 or higher-spin theories.
-
An EWPD SMEFT likelihood for the LHC -- and how to improve it with measurements of W and Z boson properties
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.
-
Dihadron azimuthal asymmetry and light-quark dipole moments at the Electron-Ion Collider
Proposal for a new observable—dihadron azimuthal asymmetry in unpolarized SIDIS at EIC—that isolates linear dependence on light-quark dipole couplings via SM-dipole interference.
-
Complete One-Loop Renormalization of the Higgs-Electroweak Chiral Lagrangian
The complete one-loop renormalization of the EWChL is performed, confirming power counting assumptions and operator basis completeness while reproducing known subsector results.
-
One-loop proton decay from Peccei-Quinn symmetry
Models with Peccei-Quinn symmetry and vector-like quarks realize one-loop proton decay through the operator u_R u_R d_R e_R while preserving a residual Z2 that forbids tree-level decay, yielding testable axion-photon couplings and an axion-accompanied decay mode.
-
Current and future constraints on heavy New Physics from $\tau$ weak dipole moments
Tau weak dipole moments already rank among the leading probes of tau dipole operators and will become dominant at FCC-ee and HL-LHC.
-
Probing the imaginary parts and their $q^2$ dependences for the tau $g-2$ and EDM
Explores q² dependence and imaginary parts of tau g-2 and EDM in SMEFT and 2HDM, proposing methods to measure them at Belle II and STCF to improve a_τ bounds by over an order of magnitude.
-
$n \to K\ell$ and the baryon asymmetry of the universe
In SMEFT, the (B-L)-violating decay n → K⁺ℓ⁻ appears at dimension seven while the conserving n → K⁻ℓ⁺ requires dimension ten and is accompanied by lower-dimensional (B+L)-violating modes, so n → Kℓ without modes like p → π⁰ℓ⁺ suggests (B-L) violation.
-
NLO EW and QCD dimension-6 SMEFT results for Higgs and gauge boson decays in POPxf format
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.
-
Probing SMEFT Operators through $t\bar{t}t\bar{t}$ Production with Hyper-Graph Neural Networks at the LHC
A hyper-graph neural network improves discrimination of four-top production at 13 TeV, raising expected significance from 5.13 to 9.11 and enabling projected 95% CL limits on five dimension-six SMEFT Wilson coefficients at current and HL-LHC luminosities.
-
Electroweak Restoration: SMEFT and HEFT
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.
-
Solving Cosmological Puzzles using Finite Temperature $\nu$SMEFT
A minimal extension of the Standard Model with three heavy Majorana neutrinos simultaneously realizes fermionic dark matter, a strong first-order electroweak phase transition, and low-scale resonant leptogenesis consistent with neutrino data.
-
New Physics Reach through Precision at Future Colliders: a Multi-Pronged Approach
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.
-
Astrophysical bounds on the high-energy evolution of neutrino mixing
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.
-
Probing $\tau$ lepton dipole moments at future Lepton Colliders
Future lepton colliders can improve existing constraints on the tau lepton's dipole moments by several orders of magnitude through complementary channels.
-
The Spurion Massive EFT (SMEFT)
SMEFT contact terms are decomposed into spurion structures whose coefficients come from higher-order Higgs singlet combinations, with W/Z masses, mixing, and fermion couplings fully saturated by dimension-eight operators.
-
CPT Violation, Mirror World and Implications for Baryon Asymmetry
A globally CPT-symmetric paired-universe model with local violations produces inflaton mass splitting that modifies reheating and accounts for observed matter-antimatter asymmetry.
-
Probing invisible particles with charm
Rare charm hadron decays offer clean null tests of the standard model that can reach branching ratios up to 10^{-3} for dark photons and 10^{-4} for ALPs in unconstrained parameter spaces.
-
Improved Standard-Model predictions for $\eta^{(\prime)}\to \ell^+ \ell^-$
Updated SM predictions yield Br(η→e⁺e⁻)=5.37(4)(2)[4]×10⁻⁹, Br(η→μ⁺μ⁻)=4.54(4)(2)[4]×10⁻⁶, Br(η'→e⁺e⁻)=1.80(2)(3)[3]×10⁻¹⁰, and Br(η'→μ⁺μ⁻)=1.22(2)(2)[3]×10⁻⁷, with a mild 1.6σ tension in the η→μ⁺μ⁻ channel.
-
Higgs pair production in gluon fusion to higher orders in Higgs Effective Field Theory
Consistent NLO power counting in HEFT for di-Higgs gluon fusion requires higher-dimensional operators beyond leading order, affecting kinematic benchmarks used in experiments.
-
The Art of Counting: a reappraisal of the HEFT expansion
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.
-
Constraining the four-light quark operators in the SMEFT with multijet and VBF processes at linear level
Multijet and VBF processes can constrain directions in the ten-dimensional space of four-light quark operator Wilson coefficients in SMEFT via linear SM interference.
-
Reach and complementarity of $\mu\to e$ searches
Derives new physics scale constraints in a six-dimensional EFT subspace for μ to e transitions using data from μ→eγ, μ→3e, and nuclear conversion experiments while highlighting their complementarity.
-
A Comprehensive Analysis of $B_s \to D_s^{**}\ell\nu_\ell$ Decays Within and Beyond the Standard Model
The authors evaluate form factors via HQET and z-expansion for B_s to D_s** l nu decays, predict SM LFU ratios R_Ds0*=0.158(20) etc., and analyze NP effects in WET/SMEFT/2HDM showing scalar/tensor operators produce >2 sigma deviations in some observables.
-
Sensitivity to top-quark couplings in diboson production at lepton colliders
NLO EW corrections to WW production from SMEFT top operators yield competitive sensitivity at LEP3 and FCC-ee relative to ZH production and existing LEP/LHC bounds.
-
Kinematic Riffs and Interference Effects in Triple Higgs Production in the N2HDM
Interference effects and extra decay channels in N2HDM resonant triple Higgs production significantly alter kinematic distributions, limiting simplified approximations.
-
Anatomy and Phenomenology of Minimal Flavor Deconstruction in the Lepton Sector
Next-to-leading order spurion effects in a minimal lepton flavor deconstruction model induce observable charged lepton flavor violation, lepton flavor universality violation, and electric dipole moments at multi-10 TeV scales.
-
Correlated $b \to s$ and $s \to d$ Rare Semileptonic Transitions in the Standard Model Effective Field Theory
SMEFT global fit to b→s anomalies with complex Wilson coefficients shows left-handed four-fermion operators preferred and demonstrates that U(3)^5 or U(2)^5 flavor symmetry restores consistency with kaon data.