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Low-Energy Effective Field Theory below the Electroweak Scale: Operators and Matching

19 Pith papers cite this work. Polarity classification is still indexing.

19 Pith papers citing it
abstract

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.

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hep-ph 19

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2026 14 2025 5

representative citing papers

When Two Loops Matter: Electroweak Precision in the SMEFT

hep-ph · 2026-04-29 · unverdicted · novelty 7.0

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.

The KSVZ Atlas: A Unified SMEFT-ALP Framework

hep-ph · 2026-06-10 · unverdicted · novelty 6.0

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.

Nucleon decays into three leptons: Noncontact contributions

hep-ph · 2025-12-02 · unverdicted · novelty 6.0

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 for Δ(B-L)=0 modes.

Nucleon decays into one lepton plus two non-strange mesons

hep-ph · 2026-04-27 · unverdicted · novelty 5.0

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.

Hunting for Neutrino Texture Zeros with Muon and Tau Flavor Violation

hep-ph · 2025-11-11 · unverdicted · novelty 5.0

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 tau decays at observable rates down to a 5-6 TeV cutoff.

Revisiting $\mu$-$e$ conversion in $R$-parity violating SUSY

hep-ph · 2026-01-26 · unverdicted · novelty 4.0

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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