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Register a new userMeasuring the heavy neutrino oscillations in rare W boson decays at the Large Hadron Collider
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Majorana neutrinos in the seesaw model can have sizable mixings through which they can be produced at the Large Hadron Collider (LHC) and show a remarkable Lepton Number Violating (LNV) signature. In this article we study the LNV decay of the W boson via two almost degenerate heavy on-shell Majorana neutrinos $N_j$, into three charged leptons and a light neutrino. We consider the scenario where the heavy neutrino masses are within $1$ GeV $leq M_N leq 10$ GeV. We evaluated the possibility to measure a LNV oscillation process in such a scenario, namely, the modulation of the quantity $d Gamma/d L$ for the process at the LHC where $W^{pm} to mu^{pm} N to mu^{pm} tau^{pm} W^{mp *}$ $ to mu^{pm} tau^{pm} e^{mp} u_e$. $L$ is the distance within the detector between the two vertices of the process. We found out some realistic conditions under which such a modulation could be probed at the LHC.
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