Muonium-antimuonium oscillations in effective field theory

Abstract

Flavor violating processes in the lepton sector have highly suppressed branching ratios in the standard model mainly due to the tiny neutrino mass. This means that observing lepton flavor violation (LFV) in the next round of experiments would constitute a clear indication of physics beyond the standard model (BSM). We revisit a discussion of one possible way to search for LFV, muonium-antimuonium oscillations. This process violates muon lepton number by two units and could be sensitive to the types of BSM physics that are not probed by other types of LFV processes. Using techniques of effective field theory, we calculate the mass and width differences of the mass eigenstates of muonium. We argue that its invisible decays give the parametrically leading contribution to the lifetime difference and put constraints on the scales of new physics probed by effective operators in muonium oscillations.

19 pages, 1 figure, references added, changes match published version, results unchanged

References in corpus (4)

• Flavour physics of leptons and dipole moments
• New Physics contributions to the lifetime difference in D0-anti-D0 mixing
• The model-discriminating power of lepton flavor violating tau decays
• Lepton flavor violating quarkonium decays

Cited by in corpus (18)

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• Lepton flavor violation by two units
• Flavor-changing Majoron interactions with leptons
• Zee-model predictions for lepton flavor violation
• Conceptual Design of the Muonium-to-Antimuonium Conversion Experiment (MACE)
• Hints of a new leptophilic Higgs sector?
• Neutrinoless double beta decay and the muonium-to-antimuonium transition in models with a doubly charged scalar
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• Lepton Flavor Violation: From Muon Decays to Muon Colliders
• Gauge $SU(2{)}_f$ flavour transfers
• Z lepton flavour violation as a probe for new physics at future $e^{+}{e}^{-}$ colliders
• Neutrino properties from muonium-antimuonium mixing
• Lepton flavor violation with tau leptons