Changes between Version 8 and Version 9 of pSPSS

Timestamp:

Oct 12, 2022, 7:03:22 PM (2 years ago)

Author:

Jan Hajer

Comment:

--

pSPSS

@@ -13 +13 @@
 
 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
+Additionally, they introduce a small mass splitting [[latex($\Delta m$)]] between the two heavy neutrino mass eigen states
 
 [[latex($m_{4/5}^{} = m_M^{} + \frac12 m_M^{} |\theta|^2 \mp \frac12 \Delta m$)]]
 
-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]]
+where the contribution with 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($P^{\text{LNC}/\text{LNV}}_\text{osc}(\tau) = (1 \pm \cos\left(\Delta m \tau \right) \exp(-\lambda))/2$)]]
 
-where [[latex($\lambda$)]] captures the damping of the oscillations due to decoherence.
-
+where [[latex($\lambda$)]] captures the damping of the oscillations due to decoherence.[[BR]]
+Therefore, the details of the seesaw model besides the generated mass splitting can be neglected when simulating pseudo-Dirac heavy neutrinos as long as the neutrino-antineutrino oscillations are taken into account.
 
 == !FeynRules implementation ==
 
 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`
+* mixing parameter [[latex($\theta_\alpha$)]] `theta1`, `theta2`, `theta3`
 * Majorana mass [[latex($m_M$)]] `Mmaj`
 * Mass splitting [[latex($\Delta M$)]] `deltaM`