Kavli Affiliate: Jia Liu
| First 5 Authors: Qi Bi, Jinhui Guo, Jia Liu, Yan Luo, Xiao-Ping Wang
| Summary:
We explore the potential of studying sterile neutrinos at a future
high-energy muon collider, where these particles can generate small active
neutrino masses via the seesaw mechanism and exhibit long-lived particle
signatures. A Dirac sterile neutrino model with ${rm U(1)}_{L_mu-L_tau}$
symmetry is introduced, where the heavy right-handed neutrino ($N_R$) produces
tiny active neutrino masses, and the light left-handed neutrino ($N_L$)
naturally behaves as a long-lived particle. The ${rm U(1)}_{L_mu-L_tau}$
gauge symmetry also enhances sterile neutrino pair production at a future
high-energy muon collider. Using the displaced vertex method, the muon collider
can search for heavy sterile neutrino, especially for $m_L> m_W$. We find that
a muon collider with $sqrt{s} = 3~ (10)$ TeV and luminosity $L=1~(10)$
ab$^{-1}$ can probe $N_L$ masses of $m_L in [100,~1500~(5000)]$ GeV and mixing
angles $theta_{nu L} in [10^{-13}~(10^{-14}),~10^{-6}]$.
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