Effective field theory for radiative corrections to charged-current processes: Vector coupling

Cirigliano, Vincenzo; Dekens, Wouter; Mereghetti, Emanuele; Tomalak, Oleksandr Sergijovic

doi:10.1103/physrevd.108.053003

Title: Effective field theory for radiative corrections to charged-current processes: Vector coupling

Journal Article · 06 September 2023 · Physical Review. D.

DOI: https://doi.org/10.1103/physrevd.108.053003 · OSTI ID:1998776

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Univ. of Washington, Seattle, WA (United States)
Los Alamos National Laboratory (LANL), Los Alamos, NM (United States)

We study radiative corrections to low-energy charged-current processes involving nucleons, such as neutron beta decay and (anti)neutrino-nucleon scattering within a top-down effective-field-theory approach. We first match the Standard Model to the low-energy effective theory valid below the weak scale and, using renormalization group equations with anomalous dimensions of $$\mathscr{O}$$(α, αα_s, α²), evolve the resulting effective coupling down to the hadronic scale. Here, we first match to heavy-baryon chiral perturbation theory and subsequently, below the pion-mass scale, to a pionless effective theory, evolving the effective vector coupling with anomalous dimensions of $$\mathscr{O}$$(α, α²) all the way down to the scale of the electron mass, relevant for beta decays. We thus provide a new evaluation of the “inner” radiative corrections to the vector coupling constant and to the neutron decay rate, discussing differences with the previous literature. Using our new result for the radiative corrections, we update the extraction of the Cabibbo-Kobayashi-Maskawa matrix element V_ud from the neutron decay.

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Research Organization:: Los Alamos National Laboratory (LANL), Los Alamos, NM (United States)

Sponsoring Organization:: USDOE Laboratory Directed Research and Development (LDRD) Program; USDOE National Nuclear Security Administration (NNSA); USDOE Office of Science (SC)

Grant/Contract Number:: 89233218CNA000001; FG02-00ER41132; SC0023663; 20210968PRD4; 20210190ER

OSTI ID:: 1998776

Alternate ID(s):: OSTI ID: 1999561

Report Number(s):: LA-UR-22-21034; TRN: US2405461

Journal Information:: Physical Review. D., Vol. 108, Issue 5; ISSN 2470-0010

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

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