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On the effective theory of neutrino-electron and neutrino-quark interactions

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arxiv 1911.01493 v2 pith:3A2DMJZG submitted 2019-11-04 hep-ph hep-exnucl-exnucl-th

Richard J. Hill , Oleksandr Tomalak This is my paper · ORCID
classification hep-phhep-exnucl-exnucl-th
keywords coefficientsalphaneutrinoaccountingcorrectionsdetermineeffectiveelectroweak
verification ladder T0 review T1 audit T2 compute T3 formal
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abstract

We determine the four Fermi effective theory of neutrino interactions within the Standard Model including one-loop electroweak radiative corrections, in combination with the measured muon lifetime and precision electroweak data. Including two-loop matching and three-loop running corrections, we determine lepton coefficients accounting for all large logarithms through relative order $\cal{O}(\alpha \alpha_s)$ and quark coefficients accounting for all large logarithms through ${\cal{O}}(\alpha)$. We present four-fermion coefficients valid in $n_f=3$ and $n_f=4$ flavor quark theories, as well as in the extreme low-energy limit. We relate the coefficients in this limit to neutrino charge radii governing matter effects via forward neutrino scattering on charged particles.

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Cited by 3 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Pion $\beta$ decay and $\tau\to\pi\pi\nu_\tau$ beyond leading logarithms

    hep-ph 2026-02 conditional novelty 7.0 of 10

    Pion β decay and τ→ππν short-distance radiative corrections are matched at NLL accuracy with evanescent-scheme dependence cancelled, giving Δ_RC^{πℓ}=0.03403(11) and a τ-HVP isospin-breaking shift of −0.07(4)×10^-10.

  2. Radiative corrections in neutral-current (anti)neutrino elastic scattering at $\text{GeV}$ energies I: Nucleon targets

    hep-ph 2026-07 conditional novelty 6.0 of 10

    Radiative corrections to neutral-current (anti)neutrino-nucleon elastic scattering are computed within low-energy EFT and reach a few percent, comparable to the strange-quark effects they must be disentangled from.

  3. QED nuclear medium effects at EIC energies

    nucl-th 2025-02 conditional novelty 5.0 of 10

    QED interactions between electrons and the screened Coulomb field of a lead nucleus produce percent-level corrections to elastic and inclusive deep-inelastic scattering rates at EIC energies.

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