Changes between Version 3 and Version 4 of HeavyN
 Timestamp:
 Oct 30, 2015 7:58:49 PM (3 years ago)
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HeavyN
v3 v4 1 1 === Author === 2 Richard Ruiz, University of Durham (IPPP) richard.ruiz[at]durham [dot]ac[dot]uk2 Richard Ruiz, University of Durham (IPPP) richard.ruiz[at]durham.ac.uk 3 3 4 4 5 5 === Model Description === 6 6 7 Ref. [#point1]8 7 8 9 After electroweak symmetry breaking, the effective Type I Seesaw Lagrangian is given by [#Atre [1]] 9 10 {{{ 10 11 #!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 }}} 14 where { #!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 }}} 19 and 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} 14 30 }}} 15 31 … … 19 35 20 36 === 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 [hepph]]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 [hepph] 22 38 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 [hepph]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 [hepph] 24 40