# Changes between Version 3 and Version 4 of EffLRSM

Ignore:
Timestamp:
10/28/16 13:22:51 (4 years ago)
Comment:

Updated Refs, Validation, QCD Corrections, and Authorship

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 v3 Hello World - In Dev - Hello World - In Development - To be published Oct 30 = SM + ... at NLO in QCD = Need: * Description * Files * Notes = Effective Left-Right Symmetric Model at NLO in QCD = === Contact Author === In collaboration with Daniel Alva and Tao Han [ [#Alva 1] ], and Celine Degrande, Olivier Mattelear, and Jessica Turner [ [#Degrande 2] ]. Olivier Mattelaer and Manimala Mitra [ [#Mattelaer 1] ], and Manimala Mitra, Darren Scott, and Michael Spannowsky [ [#Mitra 2] ]. == Model Description == This effective model extends the Standard Model (SM) field content by introducing three right-handed (RH) neutrinos, which are singlets under the SM gauge symmetry (no color, weak isospin, or weak hypercharge charges). Each RH neutrino possesses one RH Majorana mass. After electroweak symmetry breaking, the Lagrangian with three heavy Majorana neutrinos ''N''i (for i=1,2,3) is given by [ [#Atre 3] ] This effective model extends the Standard Model (SM) field content by introducing heavy Left-Right symmetric gauge bosons W,,R,,^+-^, Z,,R,, with masses M,,WR,, and M,,ZR,,, as well as three heavy Majorana neutrinos N,,i,, with mass m,,Ni,,. {{{ #!latex \end{eqnarray} }}} Neutrino masses (mNk) and mixing parameters (Vlk) between heavy mass eigenstate and (active) flavor eigenstates are taken to be independent, phenomenological parameters. This allows for maximum flexibility and model independence when calculating rates. Therefore, some care is required by the user. The lepton number- and flavor-violating interactions of the Lagrangian allow for modeling of the Type I, Inverse, and Linear seesaw mechanisms at both lepton, hadron, and lepto-hadron colliders. == QCD Corrections == The above Lagrangian with Goldstone boson couplings and in the Feynman Gauge was implemented into FeynRules  2.3.10. QCD renormalization and R2 rational counter terms were determined using NLOCT 1.02 and FeynArts 3.8. Feynman rules were collected into a single UFO, available below. In the UFO file, five massless quarks are assumed as are zero off-diagonal CKM matrix entries. For additional details, see [ [#Degrande 2] ] and references therein. These additions permit tree-level calculations at LO and NLO in QCD and loop-induced calculations at LO in QCD using MadGraph_aMC@NLO. The SM Lagrangian with Goldstone boson couplings in the Feynman Gauge and the above Lagrangian in the Unitary gauge was implemented into FeynRules  2.3.10. QCD renormalization and R2 rational counter terms were determined using NLOCT 1.02 and FeynArts 3.8. Feynman rules were collected into a single UFO, available below. In the UFO file, five massless quarks are assumed as are zero off-diagonal SM CKM and RH CKM' matrix entries. For additional details, see [ [#Mattelaer 1] ]. These additions permit tree-level calculations at LO and NLO in QCD and loop-induced calculations at LO in QCD using MadGraph_aMC@NLO, HERWIG, and SHERPA. == Validation == * The model file was validated at LO in  [ [#Alva 1] ]; see Tables 2 and 5 for further validation checks. * The model file was validated at NLO in [ [#Degrande 2] ]; see Table 1 for further validation checks. * For very large masses, this model has been constructed to satisfy the Goldstone Equivalence Theorem: {{{ #!latex \begin{eqnarray} \text{BR}(N_i \rightarrow W^+ \ell^-) &=& \text{BR}(N_i \rightarrow W^- \ell^+) = \\ \text{BR}(N_i \rightarrow Z \nu_\ell + Z \overline{\nu_\ell} ) &=& \text{BR}(N_i \rightarrow h \nu_\ell + h \overline{\nu_\ell} ) = 25\%. \end{eqnarray} }}} * The model file was checked against exact NLO W,,R,, predictions from [ [# 2] ]. * Partial and total widths for W,,R,,, Z,,R,,, and N,,1,, are checked against exact analytic calculations. See [ [# 1] ] for more information. === List of analyses that have used the model file === === List of studies that have used the model file === * Please email to update this space. == References == * Please cite [ 3 ] for the model and [ 1-2 ] for the FR/UFO files. * Please cite [ 1 ] for the model file and [ 2 ] for neutrino jets. [=#Alva] [1] D. Alva, T. Han, R. Ruiz, ''Heavy Majorana neutrinos from {{{$W\gamma$}}} ''fusion at hadron colliders,'' JHEP '''1502''', 072 (2015), arXiv:1411.7305 [hep-ph] [=#Mattelaer] [1] O. Mattelaer, M. Mitra, R. Ruiz, ''Automated Neutrino Jet and Top Jet Predictions at NLO+PS Matching in Effective Left-Right Symmetric Models,'' arXiv:1610.XXXXX [hep-ph] [=#Degrande] [2] C. Degrande, O. Mattelear, R. Ruiz, J. Turner, ''Fully-Automated Precision Predictions for Heavy Neutrino Production Mechanisms at Hadron Colliders,'' arXiv:1602.06957 [hep-ph] [=#Atre] [3] A. Atre, T. Han, S. Pascoli and B. Zhang, ''The Search for Heavy Majorana Neutrinos,'' JHEP '''0905''', 030 (2009),  arXiv:0901.3589 [hep-ph] [=#Mitra] [2] M. Mitra, D. Scott, and M. Spannowsky, ''Neutrino Jets from High-Mass W,,R,, Gauge Bosons in TeV-Scale Left-Right Symmetric Models'', arXiv:1607.03504 [hep-ph]