| 1 | == 4-fermion EFT bbll including interference with the SM |
| 2 | |
| 3 | == Authors: |
| 4 | * Yoav Afik (yoavafik@campus.technion.ac.il) (1) |
| 5 | * Shaouly Bar-Shalom (shaouly@physics.technion.ac.il) (1) |
| 6 | * Amarjit Soni (2) |
| 7 | * Jose Wudka (3) |
| 8 | |
| 9 | (1) Department of Physics, Technion: Israel Institute of Technology Haifa, Israel |
| 10 | (2) Department of Physics, Brookhaven National Laboratory, Upton, NY, US |
| 11 | (3) Department of Physics, University of California, Riverside, CA, US |
| 12 | |
| 13 | == Description of the model: |
| 14 | This is a Contact Interaction model with t-u-l-l and t-c-l-l terms, for scalar, vector and tensor couplings. The effective Lagrangian of the model is described by: |
| 15 | |
| 16 | {{{ |
| 17 | #!latex |
| 18 | \begin{align*} |
| 19 | {\cal L}_{tu\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 u \right) + S_{ij}^\ell \left( {\bar \ell} P_i \ell \right) \left( \bar t P_j u \right) + T_{ij}^\ell \left( {\bar \ell} \sigma_{\mu \nu} P_i \ell \right) \left( \bar t \sigma_{\mu \nu} P_j u \right) \biggr] \label{4fermimatrix}~ |
| 20 | \end{align*} |
| 21 | }}} |
| 22 | |
| 23 | |
| 24 | |
| 25 | |
| 26 | |
| 27 | == Model Files: |
| 28 | * [https://feynrules.irmp.ucl.ac.be/attachment/wiki/FourFermionbbll/bbll_UFO.zip bbll_UFO.zip] : the full model. |
| 29 | |
| 30 | == Commands for MadGraph5_aMC@NLO, for a production of an electron and a positron with jets: |
| 31 | {{{ |
| 32 | define p = g u c d s b u~ c~ d~ s~ b~ |
| 33 | define j = g u c d s b u~ c~ d~ s~ b~ |
| 34 | generate p p > e+ e- NP^2>0 |
| 35 | add process p p > e+ e- j NP^2>0 |
| 36 | add process p p > e+ e- j j NP^2>0 |
| 38 | set LambdaS ... |
| 39 | set Celbbll ... |
| 40 | set Celbblr ... |
| 41 | set Celbbrr ... |
| 42 | set Celbbrl ... |
| 43 | }}} |
| 44 | |
| 45 | Where LambdaS is the scale of new physics in GeV, Celbbll is the bbee coupling with left-left chirality, etc. Note especially that the sign of Celbbll / Celbblr / Celbbrr / Celbbrl determines if the interference with the SM is constructive or destructive. |
| 46 | |
| 47 | == Similarly, commands for MadGraph5_aMC@NLO, for a production of a muon and an anti-muon with jets: |
| 48 | {{{ |
| 49 | define p = g u c d s b u~ c~ d~ s~ b~ |
| 50 | define j = g u c d s b u~ c~ d~ s~ b~ |
| 51 | generate p p > mu+ mu- NP^2>0 |
| 52 | add process p p > mu+ mu- j NP^2>0 |
| 53 | add process p p > mu+ mu- j j NP^2>0 |
| 54 | ... |
| 55 | set LambdaS ... |
| 56 | set Cmubbll ... |
| 57 | set Cmubblr ... |
| 58 | set Cmubbrr ... |
| 59 | set Cmubbrl ... |
| 60 | }}} |
| 61 | |
| 62 | |
| 63 | |
| 64 | == References: |
| 65 | [1] Afik, Yoav and Bar-Shalom, Shaouly and Cohen, Jonathan and Rozen, Yoram. Phys. Lett. B. 807:135541, 2020, 1912.00425. |
| 66 | * Link to paper: https://www.sciencedirect.com/science/article/pii/S0370269320303452?via%3Dihub |