# Changes between Version 3 and Version 4 of HeavyN

Ignore:
Timestamp:
10/30/15 19:58:49 (5 years ago)
Comment:

Model Lagrangian

### Legend:

Unmodified
 v3 === Author === Richard Ruiz, University of Durham (IPPP) richard.ruiz[at]durham[dot]ac[dot]uk Richard Ruiz, University of Durham (IPPP) richard.ruiz[at]durham.ac.uk === Model Description === Ref. [#point1] After electroweak symmetry breaking, the effective Type I Seesaw Lagrangian is given by [#Atre [1]] {{{ #!latex $\mathcal{L} = \frac{V'_{ij}}{2\sqrt{2}} \bar{f}_{i} \gamma_{\mu} \left( g'_{R_{i,j}} (1+\gamma^5 ) +g'_{L_{i,j}} (1-\gamma^5 ) \right) W'^{\mu} f_j + h.c.$ $\mathcal{L}_{\rm Type~I} = \mathcal{L}_{\rm SM} + \mathcal{L}_{N} + \mathcal{L}_{N~\text{Int.}}$, }}} where { #!latex $\mathcal{L}_{\rm SM}$ } is the Standard Model Lagrangian, the heavy Majorana neutrino's kinetic and mass terms are given by {{{ #!latex $\mathcal{L}_{N} = \frac{1}{2}\overline{N} i\!\not\!\partial N - \frac{1}{2}M_N \overline{N}N$, }}} and its interaction terms with the Weak gauge and Higgs bosons in the mass eigenbasis, i.e., after mixing with active neutrinos, by {{{ #!latex \begin{eqnarray} \mathcal{L}_{N~\text{Int.}} &=& -\frac{g}{\sqrt{2}}W_{\mu}^{+}\sum_{\ell=e}^{\tau} \overline{N^{c}}V_{\ell N}^{*}\gamma^{\mu}P_{L}\ell^{-} \\ & &-\frac{g}{2\cos\theta_W}Z_{\mu}\sum_{\ell=e}^{\tau} \overline{N^{c}}V_{\ell N}^{*}\gamma^{\mu}P_{L}\nu_\ell \\ & & -\frac{g m_N}{2 M_W} h \sum_{\ell=e}^{\tau} \overline{N^{c}}V_{\ell N}^{*}P_{L}\nu_\ell +{\rm H.c.} \end{eqnarray} }}} === References === [=#point1] A. Atre, T. Han, S. Pascoli and B. Zhang, The Search for Heavy Majorana Neutrinos, JHEP '''0905''', 030 (2009)  [arXiv:0901.3589 [hep-ph]] [=#Atre] [1] A. Atre, T. Han, S. Pascoli and B. Zhang, The Search for Heavy Majorana Neutrinos, JHEP '''0905''', 030 (2009)  arXiv:0901.3589 [hep-ph] [=#point2] D. Alva, T. Han, R. Ruiz, Heavy Majorana neutrinos from {{{#!latex $W\gamma$}}} fusion at hadron colliders, JHEP '''1502''', 072 (2015), arXiv:1411.7305 [hep-ph] [=#point2] [2] D. Alva, T. Han, R. Ruiz, Heavy Majorana neutrinos from {{{#!latex $W\gamma$}}} fusion at hadron colliders, JHEP '''1502''', 072 (2015), arXiv:1411.7305 [hep-ph]