Title: Quark mass difference effects in hadronic Fermi matrix elements from first principles

Journal Article · · Physics Letters. B
ORCiD logo [1];  [2];  [3];  [4];  [5];  [2]
  1. Michigan State University, East Lansing, MI (United States); University of Washington, Seattle, WA (United States)
  2. University of Washington, Seattle, WA (United States)
  3. Peking University, Beijing (China); Collaborative Innovation Center of Quantum Matter, Beijing (China)
  4. Johannes Gutenberg-Universität, Mainz (Germany)
  5. University of Connecticut, Storrs, CT (United States)

It was recently estimated that the strong isospin-symmetry breaking (ISB) corrections to the Fermi matrix element in free neutron decay could be of the order 10–4, one order of magnitude larger than the naïve estimate based on the Behrends-Sirlin-Ademollo-Gatto theorem. To investigate this claim, we derive a general expression of the leading ISB correction to hadronic Fermi matrix elements, which takes the form of a four-point correlation function in lattice gauge theory and is straightforward to compute from first principles. Our formalism paves the way for the first determination of such correction in the neutron sector with fully-controlled theory uncertainties.

Research Organization:
Michigan State University, East Lansing, MI (United States); University of Connecticut; University of Washington, Seattle, WA (United States)
Sponsoring Organization:
Deutsche Forschungsgemeinschaft; Deutsche Forschungsgemeinschaft (DFG); EU Horizon 2020 research and innovation programme; Horizon 2020; Horizon Europe; NSFC of China; National Key Research and Development Program of China; National Natural Science Foundation of China; Nuclear Physics; Office of Science; U.S. Department of Energy; USDOE Office of Science (SC), Nuclear Physics (NP)
Grant/Contract Number:
FG02-00ER41132; FG02-97ER41014; SC0010339; SC0013617; SC0021147; SC0023663
OSTI ID:
2202871
Journal Information:
Physics Letters. B, Journal Name: Physics Letters. B Vol. 846; ISSN 0370-2693
Publisher:
ElsevierCopyright Statement
Country of Publication:
United States
Language:
English

References (13)

Isospin breaking and the precise determination of Vud journal May 1990
Chiral perturbation theory: Expansions in the mass of the strange quark journal January 1985
Fermi matrix element with isospin breaking journal February 2011
Lattice QCD at the physical point: Light quark masses journal July 2011
Charge-symmetry-breaking effects on neutron β decay in nonrelativistic quark models journal December 2022
Lattice calculation of the pion mass difference Mπ+−Mπ0 at order O(αem) journal July 2022
Leading isospin breaking effects on the lattice journal June 2013
Nonrenormalization Theorem for the Strangeness-Violating Vector Currents journal August 1964
Effect of Mass Splittings on the Conserved Vector Current journal February 1960
Ab initio calculation of the neutron-proton mass difference journal March 2015
Light quark masses in $${N_\mathrm{f}=2+1}$$ lattice QCD with Wilson fermions journal February 2020
FLAG Review 2021 journal October 2022
The pionic beta decay in chiral perturbation theory journal March 2003

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