Version 5 (modified by richardphysics, 4 years ago) (diff) 

Hello World  In Development  To be published Oct 30
Need:
 Description
 Files
 Notes
Effective LeftRight Symmetric Model at NLO in QCD
Contact Author
Richard Ruiz
 University of Durham (IPPP)
 richard.ruiz AT durham.ac.uk
In collaboration with Olivier Mattelaer and Manimala Mitra [ 1 ], and Manimala Mitra, Darren Scott, and Michael Spannowsky [ 2 ].
Model Description
This effective model extends the Standard Model (SM) field content by introducing heavy LeftRight 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}. The Lagrangian is given by,
The first term is the Standard Model Lagrangian. In the mass basis, i.e., after mixing with active neutrinos, the heavy Majorana neutrinos' kinetic and mass terms are
The W_{R}, Z_{R}, couplings to fermions is separated into three pieces:
The W_{R} chiral coupling to quarks are
V^{}CKM'^{} is the RH CabbiboKobayashiMasakawa (CKM) matrix, which is related to the SM CKM matrix. g=\sqrt{4\pi\alpha_{\rm EM}(M_Z)}/\sin\theta_W is the SM Weak coupling constant and \kappa_{R}^{}{q}^{} is an overall real normalization for the W_{R} interaction strength. For leptons, the W_{R} coupling and leptonic mixing is parametrized by~\cite{Atre:2009rg,Han:2012vk}
For chiral fermion $f$, we parametrize the $\ZR$ neutral currents by
$\kappa_{R}^{{f}$ are the same $\kappa_{R}}{q,\ell}$ as for $\WR$. In terms of electric and isospin charges, the chiral coefficients are
QCD Corrections
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 offdiagonal SM CKM and RH CKM' matrix entries. For additional details, see [ 1 ]. These additions permit treelevel calculations at LO and NLO in QCD and loopinduced calculations at LO in QCD using MadGraph_aMC@NLO, HERWIG, and SHERPA.
Model Files
 SM_HeavyN_NLO_UFO.tgz: Standalone UFO folder.
 heavyN.fr: Main model file. Relies on sm.fr (default FR model file) being declared elsewhere.
 heavyN_NLO.nb: Mathematica notebook file that generates UFO file from FeynRules model files. Allows user to also run quick sanity checks (optional) on model.
 SM_HeavyN_Files.tgz: Standalone package containing heavyN.fr, heavyN_NLO.nb, massless.rst (default FR file), diagonalCKM.rst (default FR file), and sm.fr (default FR file).
 SM_HeavyN_FilesWithUFO.tgz: Combination of SM_HeavyN_NLO_UFO.tgz and SM_HeavyN_Files.tgz.
Notes
 To download any of the packages and unpack via the terminal, use the commands:
~/Path $ wget http://feynrules.irmp.ucl.ac.be/rawattachment/wiki/HeavyN/SM_HeavyN_NLO_UFO.tgz
~/Path $ tar zxvf SM_HeavyN_NLO_UFO.tgz
~/Path $ wget http://feynrules.irmp.ucl.ac.be/rawattachment/wiki/HeavyN/SM_HeavyN_FilesWithUFO.tgz
~/Path $ tar zxvf SM_HeavyN_FilesWithUFO.tgz
 This model contains 15 free parameters:
 Three masses: mN1, mN2, mN3. Defaults are 300 GeV, 500 GeV, and 1 TeV, respectively.
 Three widths: WN1, WN2, WN3. Defaults are 0.303 GeV, 1.50 GeV, and 12.3 GeV, respectively.
 Nine real (no CP violation) mixing parameters: Vlk for l = e, mu, tau and k = 1,2,3. Default values are Vlk = Identity(3x3), i.e., Ve1 = Vmu2 = Vta3 = 1 and all others zero.
 Note: VlN are restricted to be real in the model file.
 Note: Default parameters are set so "outofthebox" checks can be made with [ 1 ] and [ 2 ].
Validation
 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 studies that have used the model file
 Please email to update this space.
References
 Please cite [ 1 ] for the model file and [ 2 ] for neutrino jets.
[1] O. Mattelaer, M. Mitra, R. Ruiz, Automated Neutrino Jet and Top Jet Predictions at NLO+PS Matching in Effective LeftRight Symmetric Models, arXiv:1610.XXXXX [hepph]
[2] M. Mitra, D. Scott, and M. Spannowsky, Neutrino Jets from HighMass W_{R} Gauge Bosons in TeVScale LeftRight Symmetric Models, arXiv:1607.03504 [hepph]
[3] A. Atre, T. Han, S. Pascoli and B. Zhang, The Search for Heavy Majorana Neutrinos, JHEP 0905, 030 (2009), arXiv:0901.3589 [hepph]
[3] T. Han, I. Lewis, R. Ruiz, Z.G. Si, Lepton Number Violation and W' Chiral Couplings at the LHC, PRD87, 035011 (2013)
Attachments (5)

effLRSM.fr
(8.0 KB) 
added by richardphysics 4 years ago.
Main Effective LRSM model file. Relies on sm.fr (default FR model file) being declared elsewhere.

effLRSMnlo.nb
(27.3 KB) 
added by richardphysics 4 years ago.
Mathematica notebook file that generates UFO file from FeynRules model files. Allows user to also run quick sanity checks (optional) on model.

EffLRSM_NLO.tgz
(22.3 KB) 
added by richardphysics 4 years ago.
Standalone NLO in QCDaccurate UFO folder.

EffLRSMnlo_Files.tgz
(14.8 KB) 
added by richardphysics 4 years ago.
Standalone package containing effLRSM.fr, effLRSMnlo.nb, diagonalMixing.rst, massless.rst (default FR file), and sm.fr (default FR file).

EffLRSMnlo_FilesWithUFO.tgz
(36.8 KB) 
added by richardphysics 4 years ago.
Combination of EffLRSMnlo_Files.tgz and EffLRSM_NLO.tgz.
Download all attachments as: .zip