Changes between Version 3 and Version 4 of pSPSS

Timestamp:

Oct 11, 2022, 9:17:33 PM (2 years ago)

Author:

Jan Hajer

Comment:

--

pSPSS

@@ -1 +1 @@
 = pSPSS: Phenomenological symmetry protected seesaw =
 
-The pSPSS describes the interactions of a pseudo-Dirac pair of two Majorana degrees of freedom generically appearing in low-scale seesaw models.
-[[Image()]]
+The pSPSS describes the interactions of a pseudo-Dirac pair of two Majorana degrees of freedom [[latex($N_1$)]] and [[latex($N_2$)]] generically appearing in low-scale seesaw models.
+In the lepton number conserving (LNC) limit their interactions with the Standard Model are given by
 
-== SPSS: Symmetry protected seesaw ==
+[[latex($\mathcal L_\text{SPSS}^L = i \overline N_i \, \not\! \partial N_i -  y_{\alpha1} \widetilde H^\dagger \bar \ell_\alpha N_1^c - \overline N_1 m_M^{} N_2^c + \text{H.c.}$)]]
+
+The additional lepton number violating (LNV) interactions must be small in order to generate light neutrino masses.
+Additionally, they introduce a mass splitting [[latex($\Delta m$)]] between the pseudo-Dirac heavy neutrino mass eigenstates
+
+[[latex($m_{4/5}^{} = m_M^{} + \frac12 m_M^{} |\theta|^2 \mp \frac12 \Delta m$)]]
+
+The smallness of the lepton number violating interactions ensures unobservable collider effects, except for heavy neutrino-antineutrino oscillations as these are a macroscopic interference effect 
+
+[[latex($P^{\text{LNC}/\text{LNV}}_\text{osc}(\tau) = \frac{1 \pm \cos\left(\Delta m \tau \right) \exp(-\lambda)}2$)]]
+
+where [[latex($\lambda$)]] captures the damping of the oscillations due to decoherence.
 
 == !MadGraph patch ==