Changes between Version 16 and Version 17 of pSPSS

Timestamp:

Oct 20, 2022, 10:44:27 AM (2 years ago)

Author:

Jan Hajer

Comment:

--

pSPSS

@@ -16 +16 @@
 
 The additional lepton number violating (LNV) interactions must be small in order to generate light neutrino masses.[[BR]]
-Additionally, they introduce a small mass splitting [[latex($\Delta m$)]] between the two heavy neutrino mass eigen states
+Additionally, they introduce a small mass splitting [[latex($\Delta m$)]] between the two heavy neutrino mass eigenstates
 
 [[latex($m_{4/5}^{} = m_M^{} + \frac12 m_M^{} |\theta|^2 \mp \frac12 \Delta m$)]]
 
 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 
+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.[[BR]]
+At leading order, the oscillations between LNC and LNV processes induced by them can be described by 
 
 [[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.[[BR]]
+where [[latex($\lambda$)]] captures potential 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.