Publications
Publication Information
| Title | $\tau \to \mu\mu\mu$ at a rate of one out of $10^{14}$ tau decays? |
| Authors | Patrick Blackstone, Matteo Fael, Emilie Passemar |
| JLAB number | JLAB-THY-19-3123 |
| LANL number | arXiv:1912.09862 |
| Other number | DOE/OR/23177-4868 |
| Document Type(s) | (Journal Article) |
| Associated with EIC: | No |
| Supported by Jefferson Lab LDRD Funding: | No |
| Funding Source: | Nuclear Physics (NP) |
| Other Funding: | National Science Foundation |
|
Journal Compiled for European Physical Journal C Volume 80 Issue 6 Page(s) 506 Refereed | |
| Publication Abstract: | We present in a full analytic form the partial widths for the lepton flavour violating decays $\mu^\pm \to e^\pm e^+ e^-$ and $\tau^\pm \to \ell^\pm \ell'^{+} \ell'^{-}$, with $\ell,\ell'=\mu,e$, mediated by neutrino oscillations in the one-loop diagrams. Compared to the first result by Petkov in~\cite{Petcov:1976ff}, obtained in the zero momentum limit $\mathcal{P}\ll m_{\nu} \ll M_W$, we retain full dependence on $\mathcal{P}$, the momenta and masses of external particles, and we determine the branching ratios in the physical limit $m_\nu \ll \mathcal{P} \ll M_W$. We show that the claim in~\cite{Pham:1998fq} that the $\tau \to \ell \ell' \ell'$ branching ratios could be as large as $10^{-14}$, as a consequence of keeping the $\mathcal{P}$ dependence, is flawed. We find rates of order $10^{-55}$, even smaller than those obtained in the zero momentum limit, as the latter prediction contains an unphysical logarithmic enhancement. |
| Experiment Numbers: | |
| Group: | THEORY CENTER |
| Document: | |
| DOI: | https://doi.org/10.1140/epjc/s10052-020-8059-7 |
| Accepted Manuscript: | Blackstone2020_Article_TauRightarrowMuMuMu¿¿µµAtARate.pdf |
| Supporting Documents: | |
| Supporting Datasets: | |