Non-Perturbative Effects in $\mu \to e\gamma$

Abstract

We compute the non-perturbative contribution of semileptonic tensor operators $(\bar{q}{\sigma }^{\mu \nu }q)(\bar{\ell }{\sigma }_{\mu \nu }\ell )$ to the purely leptonic process $\mu \to e\gamma$ and to the electric and magnetic dipole moments of charged leptons by matching onto chiral perturbation theory at low energies. This matching procedure has been used extensively to study semileptonic and leptonic weak decays of hadrons. In this paper, we apply it to observables that contain no strongly interacting external particles. The non-perturbative contribution to $\mu \to e$ processes is used to extract the best current bound on lepton-flavor-violating semileptonic tensor operators, ${\Lambda }_{\text{BSM}}\gtrsim 450$ TeV. We briefly discuss how the same method applies to dark-matter interactions.

21 pages, 1 figure; version published in JHEP

References in corpus (17)

• Measurement of the fine-structure constant as a test of the Standard Model
• Constraints on Dark Matter from Colliders
• Hadronic contribution to the muon anomalous magnetic moment to next-to-next-to-leading order
• Improved limit on the permanent electric dipole moment of 199Hg
• Dispersion relation for hadronic light-by-light scattering: pion pole
• Electromagnetic properties of dark matter: dipole moments and charge form factor
• From quarks to nucleons in dark matter direct detection
• Constraints on two-lepton, two quark operators
• Flavor diagonal tensor charges of the nucleon from 2+1+1 flavor lattice QCD
• Form Factors in the radiative pion decay
• Connected and leading disconnected hadronic light-by-light contribution to the muon anomalous magnetic moment with physical pion mass
• Lattice calculation of the pion transition form factor ${\pi }^0\to {\gamma }^{\ast }{\gamma }^{\ast }$
• The $\mu \to e\gamma$ decay in a systematic effective field theory approach with dimension 6 operators
• Improved predictions for $\mu \to e$ conversion in nuclei and Higgs-induced lepton flavor violation
• The model-discriminating power of lepton flavor violating tau decays
• Novel patterns for vector mesons from the large-Nc limit
• Precise determination of the low-energy hadronic contribution to the muon $g-2$ from analyticity and unitarity: An improved analysis

Cited by in corpus (22)

• Low-energy effective field theory below the electroweak scale: matching at one loop
• Charged Lepton Flavor Violation at the EIC
• Nucleon matrix elements of the antisymmetric quark tensor
• Completeness and Complementarity for $\mu \to e\gamma$, $\mu \to 3e$ and $\mu \to e$ conversion
• Hilbert Series and Plethystics: Paving the path towards 2HDM- and MLRSM-EFT
• CP asymmetry in $\tau \to K_S\pi {\nu }_{\tau }$ decays within the Standard Model and beyond
• Reach and complementarity of $\mu \to e$ searches
• High-energy constraints from low-energy neutrino non-standard interactions
• Computing Tools for Effective Field Theories
• Effective comparison of neutrino-mass models
• Gearing up for the next generation of LFV experiments, via on-shell methods
• Data-driven study of the implications of anomalous magnetic moments and lepton flavor violating processes of $e$, $\mu$ and $\tau$
• $C$ and $CP$ violation in effective field theories
• The Muon Magnetic Moment and Physics Beyond the Standard Model
• CP-violating axion interactions II: axions as Dark Matter
• Two-body lepton-flavour-violating decays in a 2HDM with soft family-lepton-number breaking
• A theory vade mecum for PSI experiments
• Scalar triplet leptogenesis in the presence of right-handed neutrinos with S3 symmetry
• On the sensitivity of the D parameter to new physics
• Nonrelativistic nuclear reduction for tensor couplings in dark matter direct detection and $\mu \to e$ conversion
• Nonperturbative effects in neutrino magnetic moments
• Probing neutrino-night-quark effective scalar interactions from neutrino masses