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: |
| 19 | This 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 | {{{ |
| 38 | define p = g u c d s b u~ c~ d~ s~ b~ |
| 39 | define j = g u c d s b u~ c~ d~ s~ b~ |
| 40 | generate p p > mu+ mu- t t~ NP^2==4 |
| 41 | add process p p > mu+ mu- t t~ j NP^2==4 |
| 42 | ... |
| 43 | set lambdas... |
| 44 | set fSrr ... |
| 45 | set fTrr ... |
| 46 | set fVlr ... |
| 47 | set fVrl ... |
| 48 | set fVrr ... |
| 49 | set fVll ... |
| 50 | }}} |
| 51 | For 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 | ... |
| 54 | generate p p > mu+ mu- t t~ NP^2==2 |
| 55 | add process p p > mu+ mu- t t~ j NP^2==2 |
| 56 | ... |
| 57 | }}} |
| 58 | |
| 59 | Where 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 | |
| 68 | Note 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 |