Models of the Muonium to Antimuonium Transition

Fukuyama, Takeshi; Mimura, Yukihiro; Uesaka, Yuichi

doi:10.48550/arxiv.2108.10736

Cited by 3 publications

(6 citation statements)

References 72 publications

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“…The description of the model is given in Ref. [15]. Here, we only mention that the interactions have a discrete lepton flavor symmetry, and they do not induce the ∆L e , ∆L µ = ±1 processes, such as µ → eγ, µ → 3e.…”

Section: Neutral Flavor Gauge Bosonmentioning

confidence: 99%

“…Though it is surely important to search the ∆L e , ∆L µ = ±1 processes, we need a close examination of the models beyond the SM so as not to have a preconception that those processes are dominant in the new physics with LFV. Indeed, if there is a discrete flavor symmetry, the Mu-to-Mu transition as a ∆L e , ∆L µ = ±2 process can be important to find new physics in the lepton sector while the ∆L e , ∆L µ = ±1 processes are suppressed [15]. Let us suppose that the Mu-to-Mu transition rate is just below the current experimental bound.…”

Section: Introductionmentioning

confidence: 99%

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Transverse positron polarization in the polarized $μ^+$ decay related with the muonium-to-antimuonium transition

Fukuyama¹,

Mimura²,

Uesaka³

2022

Preprint

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The constructions of the new high-intensity muon beamlines are progressing in facilities around the world, and new physics searches related to the muons are expected. The facilities can observe the transverse positron polarization of the polarized µ + decay to test the standard model. The transition of muonium into antimuonium (Mu-to-Mu), which is one of the interesting possibilities in the models beyond the standard model, can be also tested. The near-future observation of the transition gives us a great impact since it indicates that there is a discrete symmetry in the lepton sector. If the Mu-to-Mu transition operator is generated, a new muon decay operator can exist and it may interfere with the standard model muon decay operator to induce the corrections to the transverse positron polarization in the µ + decay. In this paper, we examine the possibility that the Mu-to-Mu transition and the correction to the transverse positron polarization are related, and we show that those two are related in the model of neutral flavor gauge boson. We also investigate the models to generate the Mu-to-Mu transition, such as an inert SU(2) L doublet, SU(2) L triplet for the type-II seesaw model, dilepton gauge boson, and left-right model. The non-zero value of the transverse polarization for one of the two directions, P T 2 , violates the time-reversal invariance, and the experimental constraint of the electron electric dipole moment can provide a severe constraint on P T 2 depending on the model.

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Section: Neutral Flavor Gauge Bosonmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Transverse positron polarization in the polarized $μ^+$ decay related with the muonium-to-antimuonium transition

Fukuyama¹,

Mimura²,

Uesaka³

2022

Preprint

Self Cite

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“…2), from both s− and t-channel Z exchange. The relevant effective Lagrangian for the oscillations can be cast as [150]:…”

Section: Muonium Oscillationsmentioning

confidence: 99%

Prospects for a flavour violating $$Z^\prime $$ explanation of $$\Delta a_{\mu ,e}$$

et al. 2022

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The apparent tensions emerging from the comparison of experimental data of the anomalous magnetic moments of the muon and electron to the Standard Model predictions ($$\Delta a_{\mu ,e}$$ Δ a μ , e ) could be interpreted as a potential signal of New Physics. Models encompassing a light vector boson have been known to offer a satisfactory explanation to $$\Delta a_{\mu }$$ Δ a μ , albeit subject to stringent experimental constraints. Here we explore a minimal extension of the Standard Model via a leptophilic vector boson $$Z^\prime $$ Z ′ , under the hypothesis of strictly flavour-violating couplings of the latter to leptons. The most constraining observables to this ad-hoc construction emerge from lepton flavour universality violation (in Z and $$\tau $$ τ decays) and from rare charged lepton flavour violating transitions. Once these are accommodated, one can saturate the tensions in $$\Delta a_{\mu }$$ Δ a μ , but $$\Delta a_{e}$$ Δ a e is predicted to be Standard Model-like. We infer prospects for several observables, including leptonic Z decays and several charged lepton flavour violating processes. We also discuss potential signatures of the considered $$Z^\prime $$ Z ′ at a future muon collider, emphasising the role of the $$\mu ^+\mu ^- \rightarrow \tau ^+\tau ^- $$ μ + μ - → τ + τ - forward-backward asymmetry as a key probe of the model.

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“…2), from both s− and t-channels Z exchange. The relevant effective Lagrangian for the oscillations can be cast as [128]:…”

Section: Muonium Oscillationsmentioning

confidence: 99%

“…where |c F,m | 2 denote the population of Muonium states and the factor X encodes the magnetic flux density [128]. Notice that in the above we have only considered vector couplings (so that Q 4 , Q 5 = 0).…”

Section: Muonium Oscillationsmentioning

confidence: 99%

Prospects for a flavour violating $Z^\prime$ explanation of $Δa_{μ,e}$

Kriewald,

Orloff,

Pinsard

et al. 2022

Preprint

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The apparent tensions emerging from the comparison of experimental data of the anomalous magnetic moments of the muon and electron to the Standard Model predictions (∆a µ,e ) could be interpreted as a potential signal of New Physics. Models encompassing a light vector boson have been known to offer a satisfactory explanation to ∆a µ , albeit subject to stringent experimental constraints. Here we explore a minimal extension of the Standard Model via a leptophilic vector boson Z , under the hypothesis of strictly flavour-violating couplings of the latter to leptons. The most constraining observables to this ad-hoc construction emerge from lepton flavour universality violation (in Z and τ decays) and from rare charged lepton flavour violating transitions. Once these are accommodated, one can saturate the tensions in ∆a µ , but ∆a e is predicted to be Standard Model-like. We infer prospects for several observables, including leptonic Z decays and several charged lepton flavour violating processes. We also discuss potential signatures of the considered Z at a future muon collider, emphasising the role of the µ + µ − → τ + τ − forward-backward asymmetry as a key probe of the model.

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Models of the Muonium to Antimuonium Transition

Cited by 3 publications

References 72 publications

Transverse positron polarization in the polarized $μ^+$ decay related with the muonium-to-antimuonium transition

Transverse positron polarization in the polarized $μ^+$ decay related with the muonium-to-antimuonium transition

Prospects for a flavour violating $$Z^\prime $$ explanation of $$\Delta a_{\mu ,e}$$

Prospects for a flavour violating $Z^\prime$ explanation of $Δa_{μ,e}$

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