Lattice QCD Calculation of Electroweak Box Contributions to Superallowed Nuclear and Neutron Beta Decays

Author:

Ma Peng-Xiang1,Feng Xu123ORCID,Gorchtein Mikhail45,Jin Lu-Chang67ORCID,Liu Keh-Fei89ORCID,Seng Chien-Yeah1011ORCID,Wang Bi-Geng89,Zhang Zhao-Long1ORCID

Affiliation:

1. School of Physics, Peking University, Beijing 100871, China

2. Collaborative Innovation Center of Quantum Matter, Beijing 100871, China

3. Center for High Energy Physics, Peking University, Beijing 100871, China

4. Institut für Kernphysik, Johannes Gutenberg-Universität, J.J. Becher-Weg 45, 55128 Mainz, Germany

5. PRISMA+ Cluster of Excellence, Johannes Gutenberg-Universität, Mainz, Germany

6. Department of Physics, University of Connecticut, Storrs, Connecticut 06269, USA

7. RIKEN-BNL Research Center, Brookhaven National Laboratory, Building 510, Upton, New York 11973

8. Department of Physics and Astronomy, University of Kentucky, Lexington, Kentucky 40506, USA

9. Nuclear Science Division, Lawrence Berkeley National Laboratory, Berkeley, California 94720, USA

10. Facility for Rare Isotope Beams, Michigan State University, East Lansing, Michigan 48824, USA

11. Department of Physics, University of Washington, Seattle, Washington 98195-1560, USA

Abstract

We present the first lattice QCD calculation of the universal axial γW-box contribution γWVA to both superallowed nuclear and neutron beta decays. This contribution emerges as a significant component within the theoretical uncertainties surrounding the extraction of |Vud| from superallowed decays. Our calculation is conducted using two domain wall fermion ensembles at the physical pion mass. To construct the nucleon four-point correlation functions, we employ the random sparsening field technique. Furthermore, we incorporate long-distance contributions to the hadronic function using the infinite-volume reconstruction method. Upon performing the continuum extrapolation, we arrive at γWVA=3.65(7)lat(1)PT×103. Consequently, this yields a slightly higher value of |Vud|=0.97386(11)exp(9)RC(27)NS, reducing the previous 2.1σ tension with the CKM unitarity to 1.8σ. Additionally, we calculate the vector γW-box contribution to the axial charge gA, denoted as γWVV, and explore its potential implications. Published by the American Physical Society 2024

Funder

National Natural Science Foundation of China

National Key Research and Development Program of China

U.S. Department of Energy

Office of Science

Horizon 2020 Framework Programme

Deutsche Forschungsgemeinschaft

Nuclear Physics

STRONG-2020

Quark-Gluon Tomography

Publisher

American Physical Society (APS)

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