Standard model O ( α ) renormalization of g A and its impact on new physics searches

Hayen, Leendert

doi:10.1103/PhysRevD.103.113001

Title: Standard model $O (α)$ renormalization of $g_{A}$ and its impact on new physics searches

Journal Article · Tue Jun 01 00:00:00 EDT 2021 · Physical Review D

DOI:https://doi.org/10.1103/PhysRevD.103.113001· OSTI ID:1785423

We present an O(α) Standard Model calculation of the inner radiative corrections to Gamow-Teller β decays. We find that a priori contributions arise from the photonic vertex correction and γW box diagram. Upon evaluation most elastic contributions vanish due to crossing symmetry or cancellation between isoscalar and isovector photonic contributions, leaving only the polarized parity-odd contribution, i.e., the Gamow-Teller equivalent of the well-known axial γW box contribution for Fermi decays. We show that weak magnetism contributes significantly to the Born amplitude, and consider additional hadronic contributions at low energy using a holomorphic continuation of the polarized Bjorken sum rule constrained by experimental data. We perform the same procedure for the Fermi inner radiative correction through a combination of the running of Bjorken and Gross-Llewellyn Smith sum rules. We discuss heavy flavor, higher-twist, and target mass corrections and find a significant increase at low momentum from the latter. We find $$Δ^{A}_{R}$$ = 0.02532 (22) and $$Δ^{V}_{R}$$ = 0.02473 (27) for axial and vector inner radiative corrections, respectively, resulting in $$Δ^{A}_{R} – Δ^{V}_{R}$$ = 0.60(5) × 10^–3, which allows us to extract $$g^{0}_{A}$$ for the first time to our knowledge. We discuss consequences for comparing experimental data to lattice calculations in beyond Standard Model fits. Further, we show how some traditional β decay calculations contain part of this effect but fail to account for cancellations in the full O(α) result. Finally, we correct for a double-counting instance in the isospin T = 1/2 mirror decay extraction of |V_ud|, the up-down matrix element of the Cabibbo-Kobayashi-Maskawa matrix element, resolving a long-standing tension and leading to increased precision.

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Research Organization:: North Carolina State University, Raleigh, NC (United States)

Sponsoring Organization:: USDOE Office of Science (SC); National Science Foundation (NSF); Belgian Federal Science Policy Office

Grant/Contract Number:: FG02-ER41042; FG02-97ER41042; PHY-1914133; IUAP EP/12-c

OSTI ID:: 1785423

Alternate ID(s):: OSTI ID: 1850181

Journal Information:: Physical Review D, Journal Name: Physical Review D Vol. 103 Journal Issue: 11; ISSN 2470-0010

Publisher:: American Physical SocietyCopyright Statement

Country of Publication:: United States

Language:: English

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72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
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Title: Standard model O ( α ) renormalization of g A and its impact on new physics searches

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Title: Standard model $O (α)$ renormalization of $g_{A}$ and its impact on new physics searches