Ab initio calculations of overlap integrals for $\mu \to e$ conversion in nuclei

Abstract

The rate for $\mu \to e$ 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 $\mu \to e\gamma$ and $\mu \to 3e$, 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 ${}^{27}$Al, ${}^{48}$Ca, and ${}^{48}$Ti including full covariance matrices, allowing, for the first time, for a comprehensive consideration of nuclear structure uncertainties in the interpretation of $\mu \to e$ experiments.

arXiv comment13 pages, 10 figures, 5 tables

References in corpus (59)

• Modern Theory of Nuclear Forces
• Chiral effective field theory and nuclear forces
• The Shell Model as Unified View of Nuclear Structure
• Improved nuclear matter calculations from chiral low-momentum interactions
• The Effective Field Theory of Dark Matter Direct Detection
• The In-Medium Similarity Renormalization Group: A Novel Ab Initio Method for Nuclei
• Similarity Renormalization Group for Nucleon-Nucleon Interactions
• Evolution of shell structure in exotic nuclei
• Shell model study of the isobaric chains A=50, A=51 and A=52
• Detailed calculation of lepton flavor violating muon-electron conversion rate for various nuclei
• Charge, neutron, and weak size of the atomic nucleus
• A nucleus-dependent valence-space approach to nuclear structure
• Quantifying truncation errors in effective field theory
• A Guided Tour of Ab Initio Nuclear Many-Body Theory
• Ab initio predictions link the neutron skin of ${}^{208}$Pb to nuclear forces
• In-Medium Similarity Renormalization Group for Nuclei
• Non-Empirical Interactions for the Nuclear Shell Model: An Update
• Roy-Steiner-equation analysis of pion-nucleon scattering
• Ab initio limits of atomic nuclei
• Nuclear forces and their impact on neutron-rich nuclei and neutron-rich matter
• Matching pion-nucleon Roy-Steiner equations to chiral perturbation theory
• Quantifying Correlated Truncation Errors in Effective Field Theory
• Lepton Flavor Violation in the Standard Model with general Dimension-Six Operators
• Renormalisation-group improved analysis of $\mu \to e$ processes in a systematic effective-field-theory approach
• Coherent elastic neutrino-nucleus scattering: EFT analysis and nuclear responses
• On the model discriminating power of mu -> e conversion in nuclei
• Converged ab initio calculations of heavy nuclei
• Reconciling threshold and subthreshold expansions for pion-nucleon scattering
• Analysis strategies for general spin-independent WIMP-nucleus scattering
• Get on the BAND Wagon: A Bayesian Framework for Quantifying Model Uncertainties in Nuclear Dynamics
• Spin-dependent $\mu \to e$ conversion
• Solution of the center-of-mass problem in nuclear structure calculations
• A resource for signs and Feynman diagrams of the Standard Model
• Improved predictions for $\mu \to e$ conversion in nuclei and Higgs-induced lepton flavor violation
• Nuclear structure factors for general spin-independent WIMP-nucleus scattering
• Angular-momentum projection in coupled-cluster theory: structure of ${}^{34}$Mg
• In-medium similarity renormalization group with three-body operators
• Coherent elastic neutrino-nucleus scattering on 40Ar from first principles
• Ab initio computation of the longitudinal response function in ${}^{40}$Ca
• Ab initio study of $({\mathbf{\nu }}_{\mathbf{\ell }},{\mathbf{\ell }}^{-})$ and $({\overline{\mathbf{\nu }}}_{\mathbf{\ell }},{\mathbf{\ell }}^{+})$ inclusive scattering in ${}^{12}$C: confronting the MiniBooNE and T2K CCQE data
• Selecting mu -> e Conversion Targets to distinguish Lepton Flavour-Changing Operators
• Spin-dependent $\mu \to e$ Conversion on Light Nuclei
• Probing new bosons and nuclear structure with ytterbium isotope shifts
• Lepton flavor-violating transitions in effective field theory and gluonic operators
• Ab initio nuclear response functions for dark matter searches
• Completeness and Complementarity for $\mu \to e\gamma$, $\mu \to 3e$ and $\mu \to e$ conversion
• Normal ordering of three-nucleon interactions for ab initio calculations of heavy nuclei
• Multiscale physics of atomic nuclei from first principles
• Ab initio structure factors for spin-dependent dark matter direct detection
• Improved structure of calcium isotopes from ab initio calculations
• Nuclear-level Effective Theory of $\mu \to e$ Conversion: Formalism and Applications
• Reach and complementarity of $\mu \to e$ searches
• Improved limits on lepton-flavor-violating decays of light pseudoscalars via spin-dependent $\mu \to e$ conversion in nuclei
• Effective theory tower for $\mu \to e$ conversion
• Coulomb sum rule for ${}^4$He and ${}^{16}$O from coupled-cluster theory
• Next-to-leading order scalar contributions to $\mu \to e$ conversion
• Nuclear-Level Effective Theory of $\mu \to e$ Conversion
• Uncertainty quantification for $\mu \to e$ conversion in nuclei: charge distributions
• A New Determination of the (Z,A) Dependence of Coherent Muon-to-Electron Conversion

Cited by in corpus (4)

• Ab initio computations of the fourth-order charge density moments of ${}^{48}$Ca and ${}^{208}$Pb
• From Higgs physics to lepton flavour violation: current bounds and future prospects for vector-like lepton models
• Ab initio calculations of nuclear charge radii across and beyond ${}^{132}$Sn: Putting chiral EFT nuclear interactions to the test
• Computational schemes for the Magnus expansion of the in-medium similarity renormalization group