Improved analysis for μ−e−→e−e−

Abstract

Studies of the charged lepton flavor violating process of µ − e − → e − e − in muonic atoms by the four Fermi interaction [Y. Uesaka et al., Phys. Rev. D 93, 076006 (2016)] are extended to include the photonic interaction. The wave functions of a muon and electrons are obtained by solving the Dirac equation with the Coulomb interaction of a finite nuclear charge distribution. We find suppression of the µ − e − → e − e − rate over the initial estimation for the photonic interaction, in contrast to enhancement for the four Fermi interaction. It is due to the Coulomb interaction of scattering states and relativistic lepton wave functions. This finding suggests that the atomic number dependence of the µ − e − → e − e − rate could be used to distinguish between the photonic and the four Fermi interactions.

Distinguishing muon LFV effective couplings using $\mu+e^-\rightarrow e^-+e^-$

“…[5]. In our recent work [6,7], we performed careful calculation for the rate of µ − e − → e − e − in a muonic atom. In this paper, we focus on the µ − e − → e − e − search with a muon polarized in a muonic atom to extract the chiral property of the CLFV interaction,…”

Muon disrupts AKT hydrogen bond network in cancer

“…Negative muons decay μ − → e − + ν̄ e + ν μ (electron, electron antineutrino, and mion neutrino) differently than positive muons μ + → e + + ν e + ν μ (positron, electron neutrino, and mion antineutrino (Hertenberger, Chen, & Dougherty, ; Mann & Prirnakoff, ). Charged lepton flavor violation (CLFV) is important in mion conversion to electron μ − → e − by the Fermi contact within CLFV interaction (Bertl et al, ; Uesaka, Kuno, Sato, Sato, & Yamanaka, ), or muon conversion into positron μ − → e + (Berryman, de Gouvêa, Kelly, & Kobach, ; Geib & Merle, ) or muon capture process inducing double‐β decays (Hashim et al, ), the process critical for energy release in muon induced fusion process within hydrogen network (Müller et al, ; Radisavljevic, ; Shin & Rafelski, ). Muonic atoms such as muonic hydrogen or muonic helium have high potential for ionization of cancer cells, but because of fast decay, the energy released is important for fusion process (Baumann et al, ; Bossy et al, ; Froelich, ; Ponomarev, ; Posada et al, ) and inactivation of hydrogen bond network in cancer cells (Radisavljevic, ).…”

“…Negative muons decay μ − → e − + νē + ν μ (electron, electron antineutrino, and mion neutrino) differently than positive muons μ + → e + + ν e + ν μ (positron, electron neutrino, and mion antineutrino(Hertenberger, Chen, & Dougherty, 1995; Mann & Prirnakoff, 1977). Charged lepton flavor violation (CLFV) is important in mion conversion to electron μ − → e − by the Fermi contact within CLFV interaction(Bertl et al, 2006;Uesaka, Kuno, Sato, Sato, & Yamanaka, 2018), or muon conversion into positron μ − → e +(Berryman, de Gouvêa, Kelly, & Kobach, 2017;Geib & Merle,…”

Selecting μ → e conversion targets to distinguish lepton flavour-changing operators

“…We anticipate that µ → e conversion could constrain 10 to 14 combinations of coefficients; if µ → eγ and µ → eēe constrain eight more, that leaves 60 to 64 "flat directions" in the basis of QED×QCD-invariant operators which describe µ → e flavour change below § Another interesting observable at these experiments is the µ − e − → e − e − in a muonic atom. This process could have not only photonic dipole but also contact interactions, and the atomic number dependence of its reaction rate makes possible to discriminate the type of relevant CLFV interactions [7,8,9]. * * Since the current MEG bound on the dipole coefficients constrains them to be below the sensitivity of the current µ → e conversion bounds, the dipole overlap integral was set to zero in obtaining this Figure.…”