Authors
 Andrea Peterson (contact for inquiries)
 apeterso at physics.carleton.ca, Carleton University
 Heather E. Logan
 logan at physics.carleton.ca, Carleton University
 Katy Hartling
 khally at physics.carleton.ca, Carleton University
 Kunal Kumar
 kkumar at physics.carleton.ca, Carleton University
 Yongcheng Wu (contact for inquiries)
 ycwu at physics.carleton.ca, Carleton University
Model Description and Implementation
The GeorgiMachacek (GM) model was proposed in 1985 [1] as a plausible scenario for EWSB with interesting collider signatures. In this model, the scalar sector of the Standard Model (SM) is extended by the addition of one complex and one real SU(2) triplet. The hypercharge assignments of the triplets allows for a custodial SU(2) symmetry to be imposed upon the scalar potential, so that rho=1 is preserved at tree level. This is desirable for SM extensions in light of constraints from electroweak precision data. The model has the following salient features that make it phenomenologically interesting:
 the hVV (and hhVV) coupling can be enhanced compared to the SM
 the presence of additional scalars (including doubly charged ones)
The GM model can thus be a useful benchmark for the study of Higgs properties as well as searches for additional scalars.
The doublet vev v_\phi and the triplet vevs v_\chi are constrained by to ensure the model generates the measured W and Z boson masses. We parametrize the relative size of the vevs by
The scalars (apart form Goldstone bosons) in this model can be classified as two custodial SU(2) singlets, a triplet and a fiveplet. The two custodial singlets mix by an angle alpha to give eigenstates h and H, one of which is the 125 GeV Higgs.
We follow Ref. [2] to implement the most general scalar potential that conserves custodial SU(2). It is automatically CPconserving. The parameters of the potential are denoted by mu2sq, mu3sq, lam1, lam2, lam3, lam4, lam5, M1coeff and M2coeff in the .fr file. We trade three of these to obtain the set of 9 external parameters (mh, Gf, tanth, lam2, lam3, lam4, lam5, M1coeff, M2coeff) in the .fr file that define the scalar potential.
The GM Lagrangian implementation is based on the SM implementation (SM. fr v 1.3). In addition to the scalar potential, we modify all the relevant SM Lagrangian terms that change in the GM model (e.g.: Scalar Kinetic Terms, Yukawa couplings).
We also provide the CalcHEP and MadGraph5 model folders generated from the .fr file (feynman gauge was chosen for generating both these model folders). In the case of MG5, event generation can be simplified by using the program GMCALC (description below) to generate a param_card.dat file. (Note that the widths of t, W+, Z, h and additional scalars should be updated in MadGraph5 using the compute_widths option.)
References
 H. Georgi and M. Machacek, Nucl. Phys. B 262, 463 (1985) http://www.sciencedirect.com/science/article/pii/0550321385903256.
 K. Hartling, K. Kumar and H. E. Logan, Phys. Rev. D 90, 015007 (2014) [hepph].
Model files
GM_FR.tar.gz
: Contains, the .fr file, restriction files, a mathematica notebook to check the model and a package to generate model folders
for CalcHEP and MadGraph5 etc. The .nlo file is also provided to generate QCD@NLO model files. Files have been tested with FeynRules2.3.32. Note that if regenerating the .nlo file is needed, please use FeynArts?3.9 or older with the NLOCT.
Interfaces
The .fr file can be used to generate model folders to be used in MadGraph5 and CalcHEP.
GM_UFO_LO_EFF.tar.gz : Model folder for MadGraph5 with Effective couplings. Files have been tested with MG5_aMC_v2.6.3.2
NLO model
UFO model including NLO QCD corrections for use with MadGraph5_aMC@NLO. May still be used for LO simulations. Files have been tested with MG5_aMC_v2.6.3.2
Validation
The feynman rules generated were checked by comparing with calculations done by hand (arXiv:1404.2640). Decay widths
have been checked against those calculated by GMCALC.
GMCALC
A calculator for the GeorgiMachacek model to generate the parameter cards
http://people.physics.carleton.ca/~logan/gmcalc/
Change Log
 v1.2.1
 Added Effective couplings for loop induced SVV vertices.
 Add NLO QCD corrections
 v1.2
 Modified the antiparticle names of some scalars for clarity
 Changed name of EXT. variable th > tanth for clarity
 Modified the labels used for some terms of the Lagrangian
 Modified default values of certain EXT. parameters
 Added the field "TeX>" for EXT. parameters lam2lam5
Attachments (7)
 GM_UFO.tar.gz (40.2 KB)  added by kkumar84 6 years ago.
 GMCH.tar.gz (19.9 KB)  added by kkumar84 6 years ago.
 GM.tar.gz (19.6 KB)  added by kkumar84 6 years ago.
 GM_UFO_nlo.tar.gz (1.5 MB)  added by andreapeterson 5 years ago.

GM_FR.tar.gz
(28.9 KB) 
added by yongchengwu 2 years ago.
Files used in FeynRules to generate model files

GM_UFO_LO_EFF.tar.gz
(46.8 KB) 
added by yongchengwu 2 years ago.
The UFO model files with effective couplings and QCD@LO

GM_UFO_NLO_EFF.tar.gz
(70.4 KB) 
added by yongchengwu 2 years ago.
The UFO model files with effective couplings and QCD@NLO
Download all attachments as: .zip