Changes between Version 3 and Version 4 of HeavyN


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Timestamp:
Oct 30, 2015 7:58:49 PM (2 years ago)
Author:
richardphysics
Comment:

Model Lagrangian

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  • HeavyN

    v3 v4  
    11=== Author ===
    2 Richard Ruiz, University of Durham (IPPP) richard.ruiz[at]durham[dot]ac[dot]uk
     2Richard Ruiz, University of Durham (IPPP) richard.ruiz[at]durham.ac.uk
    33
    44
    55=== Model Description ===
    66
    7 Ref. [#point1]
    87
     8
     9After electroweak symmetry breaking, the effective Type I Seesaw Lagrangian is given by [#Atre [1]]
    910{{{
    1011#!latex
    11 
    12 $\mathcal{L} = \frac{V'_{ij}}{2\sqrt{2}} \bar{f}_{i} \gamma_{\mu} \left( g'_{R_{i,j}} (1+\gamma^5 ) +g'_{L_{i,j}} (1-\gamma^5 ) \right) W'^{\mu} f_j + h.c.$
    13  
     12$\mathcal{L}_{\rm Type~I} = \mathcal{L}_{\rm SM} + \mathcal{L}_{N} + \mathcal{L}_{N~\text{Int.}} $,
     13}}}
     14where { #!latex $\mathcal{L}_{\rm SM}$ } is the Standard Model Lagrangian, the heavy Majorana neutrino's kinetic and mass terms are given by
     15{{{
     16#!latex
     17$\mathcal{L}_{N} = \frac{1}{2}\overline{N} i\!\not\!\partial N - \frac{1}{2}M_N \overline{N}N$,
     18}}}
     19and its interaction terms with the Weak gauge and Higgs bosons in the mass eigenbasis, i.e., after mixing with active neutrinos, by
     20{{{
     21#!latex
     22\begin{eqnarray}
     23\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^{-}
     24\\
     25& &-\frac{g}{2\cos\theta_W}Z_{\mu}\sum_{\ell=e}^{\tau} \overline{N^{c}}V_{\ell N}^{*}\gamma^{\mu}P_{L}\nu_\ell
     26\\
     27& & -\frac{g m_N}{2 M_W} h \sum_{\ell=e}^{\tau} \overline{N^{c}}V_{\ell N}^{*}P_{L}\nu_\ell
     28+{\rm H.c.}
     29\end{eqnarray}
    1430}}}
    1531
     
    1935
    2036=== References ===
    21 [=#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]]
     37[=#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]
    2238
    23 [=#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]
     39[=#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]
    2440