TY  - JOUR
PB  - SciPost Foundation
DO  - 10.21468/SciPostPhysProc.1.009
TI  - NLO prediction for the decays $\tau \to \ell \ell'\ell' \nu \bar \nu$ and $\mu \to e e e \nu \bar\nu$
PY  - 2019/02/18
UR  - https://scipost.org/SciPostPhysProc.1.009
JF  - SciPost Physics Proceedings
JA  - SciPost Phys. Proc.
VL  - 
IS  - 1
SP  - 009
A1  - Fael, Matteo
AB  - These proceedings present the differential decay rates and the branching ratios of the tau and muon decays $\tau \to \ell \ell' \ell' \nu \bar\nu$ (with $\ell,\ell'=\mu,e$) and $\mu \to e e e \nu \bar \nu$ in the Standard Model at NLO. These five-body leptonic decays are a tool to study the Lorentz structure of weak interactions and to test lepton flavour universality. They are also a source of SM background to searches for the lepton-flavour-violating decays $\mu \to e e e$ and $\tau \to \ell \ell' \ell'$. Even if the shift in the branching ratios induced by radiative corrections turns out to be small and of order 1% - mainly due to a running effect of the fine structure constant - locally in the phase space these corrections can reach the 5 - 10% level, depending on the applied cuts. We found for instance that in the phase space region where the neutrino energies are small, and the momenta of the three charged leptons have a similar signature as in $\mu \to eee$ and $\tau \to \ell \ell'\ell'$, the NLO corrections decrease the leading-order prediction by about 10 - 20%.
ER  -

@Article{10.21468/SciPostPhysProc.1.009,
	title={{NLO prediction for the decays $\tau \to \ell \ell'\ell' \nu \bar \nu$ and $\mu \to e e e \nu \bar\nu$}},
	author={Matteo Fael},
	journal={SciPost Phys. Proc.},
	pages={009},
	year={2019},
	publisher={SciPost},
	doi={10.21468/SciPostPhysProc.1.009},
	url={https://scipost.org/10.21468/SciPostPhysProc.1.009},
}