Changes between Version 1 and Version 2 of FourFermionttll


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Timestamp:
Jan 25, 2022, 11:36:52 PM (3 years ago)
Author:
Yoav Afik
Comment:

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  • FourFermionttll

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    1  
     1== 4-fermion EFT ttll (l=e,mu)
     2
     3== Authors:
     4* Yoav Afik (yoavafik@campus.technion.ac.il) (1)
     5* Shaouly Bar-Shalom (shaouly@physics.technion.ac.il) (2)
     6* Kuntal Pal (3)
     7* Amarjit Soni (4)
     8* Jose Wudka (3)
     9
     10(1) Experimental Physics Department, CERN, Geneva, Switzerland
     11
     12(2) Department of Physics, Technion: Israel Institute of Technology Haifa, Israel
     13
     14(3) Department of Physics, University of California, Riverside, CA, US
     15
     16(4) Department of Physics, Brookhaven National Laboratory, Upton, NY, US
     17
     18== Description of the model:
     19This is a Contact Interaction model with t-t-l-l terms, for scalar, vector and tensor couplings. The effective Lagrangian of the model is described by:
     20
     21{{{
     22#!latex
     23\begin{align*}
     24{\cal L}_{tt\ell \ell} =  {1\over\Lambda^2} \sum_{i,j=L,R} \biggl[ V_{ij}^\ell \left({\bar \ell} \gamma_\mu P_i \ell \right) \left( \bar t \gamma^\mu P_j t \right)  + S_{ij}^\ell \left( {\bar \ell} P_i \ell \right) \left( \bar t P_j t \right)  + T_{ij}^\ell \left( {\bar \ell} \sigma_{\mu \nu} P_i \ell \right) \left( \bar t \sigma_{\mu \nu} P_j t \right) \biggr] ~.
     25\end{align*}
     26}}}
     27
     28
     29
     30
     31
     32== Model Files:
     33* [https://feynrules.irmp.ucl.ac.be/attachment/wiki/FourFermionFCNCtqll/4fermion-tqll-models.zip 4fermion-tqll-models.zip] : the full model both at the 4FS and at the 5FS. In the paper we use the 5FS.
     34* Please note there are four models: t-u-l-l Contact Interactions at the 4FS / 5FS, and t-c-l-l Contact Interactions at the 4FS / 5FS.
     35
     36== Commands for MadGraph5_aMC@NLO, for a production of a muon and an anti-muon with a top quark and up to one more jet (NP only):
     37{{{
     38define p = g u c d s b u~ c~ d~ s~ b~
     39define j = g u c d s b u~ c~ d~ s~ b~
     40generate p p > mu+ mu- t t~ NP^2==4
     41add process p p > mu+ mu- t t~ j NP^2==4
     42...
     43set lambdas...
     44set fSrr ...
     45set fTrr ...
     46set fVlr ...
     47set fVrl ...
     48set fVrr ...
     49set fVll ...
     50}}}
     51For the scenario of vector coupling, interference with the SM should be considered. This can be done by changing the coupling order in the generation commands:
     52{{{
     53...
     54generate p p > mu+ mu- t t~ NP^2==2
     55add process p p > mu+ mu- t t~ j NP^2==2
     56...
     57}}}
     58
     59Where lambdas is the scale of new physics in GeV, fSrr is the coupling of the t-u-l-l scalar operator with right-right chirality of the fermions, etc. For example, if we set fSrr=1 and all other couplings to 0, we get a scalar operator with:
     60{{{
     61#!latex
     62\begin{align*}
     63{\cal L}_{t\bar t\ell \ell} =  {1\over\Lambda^2} \left( {\bar \ell} P_R \ell \right) \left( \bar t P_R t \right) ~.
     64\end{align*}
     65}}}
     66
     67
     68Note that only operators with the couplings fSrr, fTrr, fVlr, fVrl, fVrr, fVll are generated by this UFO.
     69
     70
     71== References:
     72[1] Afik, Yoav and Bar-Shalom, Shaouly and Pal, Kuntal and Soni, Amarjit and Wudka, Jose. 2111.13711.
     73 * Link to paper: https://arxiv.org/abs/2111.13711