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Muonium to antimuonium conversion and the decay. mu. sup + r arrow e sup +. nu. sub e. nu. sub. mu. in left-right symmetric models

Journal Article · · Physical Review Letters; (United States)
 [1];  [2]
  1. Theoretical Division, Los Alamos National Laboratory, Los Alamos (New Mexico, United States)
  2. Department of Physics and Astronomy, University of Maryland, College Park, Maryland 20742 (United States)
We show that in the minimal left-right symmetric model with triplet Higgs bosons the range of the muon neutrino mass for which {nu}{sub {mu}} is required by cosmological considerations to be unstable can be probed by muonium to antimuonium conversion ({ital M}{r arrow}{ital {bar M}}) and/or by the exotic muon decay {mu}{sup +}{r arrow}{ital e}{sup +} {bar {nu}}{sub {ital e}}{nu}{sub {mu}}. We point out that if all the leptonic mixing matrices are hierarchical and the Dirac masses of the neutrinos are equal to the masses of the corresponding charged leptons, there is a lower bound in this range for the rates of both of these processes. We find {vert bar}{ital G}{sub {ital M}{ital {bar M}}}{vert bar}{approx gt}7{times}10{sup {minus}5}{ital G}{sub {ital F}} and {vert bar}{ital G}{sub {mu}}{sup ({ital e})}{vert bar}{approx gt}2{times}10{sup {minus}4}{ital G}{sub {ital F}} for the strength of the {ital M}{r arrow}{ital {bar M}} and {mu}{sup +}{r arrow}{ital e}{sup +} {bar {nu}}{sub {ital e}}{nu}{sub {mu}} interactions.
OSTI ID:
6972299
Journal Information:
Physical Review Letters; (United States), Journal Name: Physical Review Letters; (United States) Vol. 69:17; ISSN PRLTA; ISSN 0031-9007
Country of Publication:
United States
Language:
English