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Low-Energy Effective Field Theory below the Electroweak Scale: Operators and Matching
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The gauge-invariant operators up to dimension six in the low-energy effective field theory below the electroweak scale are classified. There are 70 Hermitian dimension-five and 3631 Hermitian dimension-six operators that conserve baryon and lepton number, as well as $\Delta B= \pm \Delta L = \pm 1$, $\Delta L=\pm 2$, and $\Delta L=\pm 4$ operators. The matching onto these operators from the Standard Model Effective Field Theory (SMEFT) up to order $1/\Lambda^2$ is computed at tree level. SMEFT imposes constraints on the coefficients of the low-energy effective theory, which can be checked experimentally to determine whether the electroweak gauge symmetry is broken by a single fundamental scalar doublet as in SMEFT. Our results, when combined with the one-loop anomalous dimensions of the low-energy theory and the one-loop anomalous dimensions of SMEFT, allow one to compute the low-energy implications of new physics to leading-log accuracy, and combine them consistently with high-energy LHC constraints.
Forward citations
Cited by 19 Pith papers
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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.
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$D$-Dimensional Modular Assembly of Higher-Derivative Four-Point Contact Amplitudes Involving Fermions
A modular assembly method constructs D-dimensional higher-derivative four-point amplitudes involving fermions from gauge-invariant blocks, color factors, and permutation-invariant scalar polynomials.
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Two-Loop Anomalous Dimensions in the LEFT: Dimension-Six Four-Fermion Operators in NDR
Derives the full two-loop ADM for four-fermion operators in LEFT in NDR scheme including O(α_s²), O(α_s α) and O(α²) terms, with results for 5/4/3 active flavors implemented in DsixTools.
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Inclusive Charmless Non-Leptonic B Decays at NLO within and beyond the Standard Model
Complete NLO QCD corrections to charmless inclusive non-leptonic B-decay widths are computed for the full BSM operator set, yielding 26 constrained directions in Wilson coefficient space.
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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.
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Nucleon decays into three leptons: Noncontact contributions
Bounds on nucleon decays to three leptons are obtained from dim-6 LEFT Wilson coefficients constrained by two-body BNV limits, yielding results several orders of magnitude different from prior phase-space estimates fo...
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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.
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Positron-Emitting and Electron-Capturing Double-Beta Processes in the Standard Model and Beyond
Nuclear matrix elements and phase-space factors are computed for 2ν and 0ν positron-emitting double-beta modes in three isotopes, yielding sensitivity to SMEFT lepton-number-violating operators at 1-100 TeV and showin...
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Renormalization of the SMEFT to Dimension Eight: Fermionic Interactions II
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.
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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.
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Nucleon decays into one lepton plus two non-strange mesons
Global EFT analysis without single-operator dominance improves lifetime bounds on charged-lepton three-body nucleon decays by over three orders of magnitude and sets first limits around 10^34 years for neutrino modes.
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Four-fermion operators, $Z$-boson exchange, and $\tau$ lepton dipole moments
Z-boson exchange contributes ~3e-6 to the relevant asymmetries while four-fermion operators can reach ~1e-5 times Wilson coefficients, with loop insertions offering an additional path to a_tau without beam polarization.
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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.
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Hunting for Neutrino Texture Zeros with Muon and Tau Flavor Violation
Two-zero textures in the neutrino mass matrix produce distinctive, testable correlations among charged lepton flavor violation processes, with some patterns suppressing muon-to-electron transitions while permitting ta...
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Angular Analysis of $B \to D^{*}\ell \bar{\nu}_{\ell}$ from Lattice and Experiment: $|V_{cb}|$ and New Physics Constraints
Joint Bayesian fit of lattice form factors and Belle angular data gives |V_cb| = 0.03997(71) in the SM with no resolution of the exclusive-inclusive puzzle and excludes scalar leptoquark NP at 1.0 TeV and vector lepto...
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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 Te...
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Comprehensive investigation of nucleon decays into one lepton plus two mesons
Using LEFT operators and chiral PT, the authors derive improved partial lifetime bounds for 31 three-body BNV nucleon decay modes by constraining Wilson coefficients from two-body experimental data.
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Revisiting $\mu$-$e$ conversion in $R$-parity violating SUSY
RG running changes limits on certain RPV SUSY λ and λ' couplings by up to 80 percent, with upcoming μ-e conversion experiments expected to set stronger bounds than μ→eγ or μ→eee decays.
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Hunting New Animalcula with Flavour Changing Processes
Review advocating correlations among flavour observables as direct tests for specific new physics models beyond global fits to Wilson coefficients.
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