Changes between Version 7 and Version 8 of pSPSS

Timestamp:

Oct 12, 2022, 2:21:38 PM (2 years ago)

Author:

Jan Hajer

Comment:

--

pSPSS

@@ -7 +7 @@
 == Model description ==
 
-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 protected by a lepton-number like symmetry.
-
+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 protected by a lepton-number like symmetry.[[BR]]
 In the lepton number conserving (LNC) limit the interactions of the symmetry protected seesaw (SPSS) with the Standard Model are
 
-[[latex($\mathcal L_\text{SPSS}^L = i \overline N_i \, \not\! \partial N_i -  y_{\alpha1} \widetilde H^\dagger \bar \ell_\alpha N_1^c - \overline N_1 m_M^{} N_2^c + \text{H.c.}$)]]
+[[latex($\mathcal L_\text{SPSS}^L = \overline N_i \, i\!\! \not\! \partial N_i -  y_{\alpha1} \widetilde H^\dagger \bar \ell_\alpha N_1^c - \overline N_1 m_M^{} N_2^c + \text{H.c.}$)]]
 
-The additional lepton number violating (LNV) interactions must be small in order to generate light neutrino masses.
-
+The additional lepton number violating (LNV) interactions must be small in order to generate light neutrino masses.[[BR]]
 Additionally, they introduce a mass splitting [[latex($\Delta m$)]] between the pseudo-Dirac heavy neutrino mass eigenstates
 
 [[latex($m_{4/5}^{} = m_M^{} + \frac12 m_M^{} |\theta|^2 \mp \frac12 \Delta m$)]]
 
-where [[latex($\theta = m_D / m_M$)]] with [[latex($m_D = y_1 v$)]] and [[latex($v\simeq174 \text{ GeV}$)]].
-
-The smallness of the lepton number violating interactions ensures unobservable collider effects, with the exception of heavy neutrino-antineutrino oscillations since these are a macroscopic interference effect 
+where the contribution from the active sterile mixing parameter [[latex($\theta = m_D / m_M$)]] with [[latex($m_D = y_1 v$)]] and [[latex($v\simeq174 \text{ GeV}$)]] appears already in the LNC case.[[BR]]
+The smallness of the LNV interactions ensures unobservable collider effects, with the exception of heavy neutrino-antineutrino oscillations since these are a macroscopic interference effect 
 
 [[latex($P^{\text{LNC}/\text{LNV}}_\text{osc}(\tau) = (1 \pm \cos\left(\Delta m \tau \right) \exp(-\lambda))/2$)]]
@@ -27 +24 @@
 where [[latex($\lambda$)]] captures the damping of the oscillations due to decoherence.
 
+
 == !FeynRules implementation ==
 
-The !FeynRules model file contains as free parameter in addition to the Standard Model parameter
-* Heavy neutrino Yukawa couplings [[latex($y_1$)]] `yvn1`, `yvn2`, `yvn3`
+The !FeynRules model file contains in addition to the Standard Model parameter as free parameter the heavy neutrino
+* Yukawa couplings [[latex($y_{\alpha1}$)]] `yvn1`, `yvn2`, `yvn3`
 * Majorana mass [[latex($m_M$)]] `Mmaj`
 * Mass splitting [[latex($\Delta M$)]] `deltaM`
-* Decoherence damping parameter [[latex($\lambda$)]] `damping`
+* Damping parameter [[latex($\lambda$)]] `damping`
 
 == !MadGraph patch ==