Seesaw Mechanism: A Quantum Field Theory Study

[Safinaz]

Hi all,

I think it's just an Eigenvalue preoblem. I'm studying Seesaw mechanism from
http://www.quantumfieldtheory.info/TheSeesawMechanism

I don't get how he substituted in equ. 21 for N Eigenvalue from equ. 20, that $\frac{m_D}{m^R}$ is a factor of $\nu_R$ not $\nu_l^c$ ? Any help ..

 

[ChrisVer]

why do you say that it's a factor of $\nu_R$ ? he puts it as a factor of $\nu_L$.
Although I have to admit that your eyes should burn by reading that thing... the subscripts are very small...

 

[Safinaz]

Just how he did that ? I mean from equ. 20, $\nu^c_L = \frac{m_D}{m^R} \nu_R$, then what he did in 21 ? I think
$N = \nu^c_L + \nu_R$, but if we substituted by 20, we won't get the equ. he had ..