Ab initio calculations of overlap integrals for μ → e conversion in nuclei

Heinz, Matthias; Hoferichter, Martin; Miyagi, Takayuki; Noël, Frederic; Schwenk, Achim

doi:10.1016/j.physletb.2025.139975

Ab initio calculations of overlap integrals for μ → e conversion in nuclei

Journal Article · Mon Oct 27 00:00:00 EDT 2025 · Physics Letters. B

DOI:https://doi.org/10.1016/j.physletb.2025.139975· OSTI ID:3004302

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Technical Univ. of Darmstadt (Germany); GSI-Helmholtzzentrum fur Schwerionenforschung, Darmstadt (Germany); Max Planck Inst. fuer Kernphysik, Heidelberg (Germany); Oak Ridge National Laboratory (ORNL), Oak Ridge, TN (United States)
Univ. of Bern (Switzerland)
Univ. of Tsukuba (Japan); Technical Univ. of Darmstadt (Germany); GSI-Helmholtzzentrum fur Schwerionenforschung, Darmstadt (Germany); Max Planck Inst. fuer Kernphysik, Heidelberg (Germany)
Technical Univ. of Darmstadt (Germany); GSI-Helmholtzzentrum fur Schwerionenforschung, Darmstadt (Germany); Max Planck Inst. fuer Kernphysik, Heidelberg (Germany)

The rate for μ → e conversion in nuclei is set to provide the most stringent test of lepton-flavor symmetry and a window into physics beyond the Standard Model. However, to disentangle new lepton-flavor-violating interactions, in combination with information from μ → ey and μ → 3e, it is critical that uncertainties at each step of the analysis be controlled and fully quantified. In this regard, nuclear response functions related to the coupling to neutrons are notoriously problematic, since they are not directly constrained by experiment. We address these shortcomings by combining ab initio calculations with a recently improved determination of charge distributions from electron scattering by exploiting strong correlations among charge, point-proton, and point-neutron radii and densities. We present overlap integrals for ²⁷Al, ⁴⁸Ca, and ⁴⁸Ti including full covariance matrices, allowing, for the first time, for a comprehensive consideration of nuclear structure uncertainties in the interpretation of μ → e experiments.

View Accepted Manuscript (DOE)

Research Organization:: Oak Ridge National Laboratory (ORNL), Oak Ridge, TN (United States)

Sponsoring Organization:: USDOE Office of Science (SC), Advanced Scientific Computing Research (ASCR). Scientific Discovery through Advanced Computing (SciDAC); USDOE Office of Science (SC), Nuclear Physics (NP)

Grant/Contract Number:: AC05-00OR22725

OSTI ID:: 3004302

Journal Information:: Physics Letters. B, Journal Name: Physics Letters. B Vol. 871; ISSN 0370-2693

Publisher:: ElsevierCopyright Statement

Country of Publication:: United States

Language:: English

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