Version 38 (modified by kkumar84, 5 years ago) (diff) 

Implementation Author
 Kunal Kumar (to be contacted for any queries regarding this model implementation)
 kkumar at physics.carleton.ca, Carleton University
In collaboration with
 Katy Hartling
 khally at physics.carleton.ca, Carleton University
 Heather E. Logan
 logan 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 v_{phi}^{2} + 8 v_{chi}^{2} = v_{SM}^{2} to ensure the model generates the measured W and Z boson masses. We parametrize the relative size of the vevs by tan \theta_H = 2 \sqrt(2) v_chi/v_phi.
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 MG5 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+, h and additional scalars should be updated in MG5 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
Interfaces The .fr file can be used to generate model folders that can be used by Madgraph and CalcHEP.
Validation The feynman rules generated were checked by hand and are summarised in arXiv:1404.2640
GMCALC A calculator that checks for theoretical constraints as well as indirect experimental constraints http://people.physics.carleton.ca/~logan/gmcalc/
Change Log
 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 5 years ago.
 GMCH.tar.gz (19.9 KB)  added by kkumar84 5 years ago.
 GM.tar.gz (19.6 KB)  added by kkumar84 5 years ago.
 GM_UFO_nlo.tar.gz (1.5 MB)  added by andreapeterson 4 years ago.

GM_FR.tar.gz
(28.9 KB) 
added by yongchengwu 19 months ago.
Files used in FeynRules to generate model files

GM_UFO_LO_EFF.tar.gz
(46.8 KB) 
added by yongchengwu 19 months ago.
The UFO model files with effective couplings and QCD@LO

GM_UFO_NLO_EFF.tar.gz
(70.4 KB) 
added by yongchengwu 19 months ago.
The UFO model files with effective couplings and QCD@NLO
Download all attachments as: .zip