Singlet B Model (VLQ)

Authors

• Mathieu Buchkremer
  • Université catholique de Louvain (CP3)
  • mathieu.buchkremer_at_uclouvain.be

• Giacomo Cacciapaglia
  • Université de Lyon (CNRS/IN2P3)
  • g.cacciapaglia_at_ipnl.in2p3.fr

• Aldo Deandrea
  • Université de Lyon (CNRS/IN2P3)
  • deandrea_at_ipnl.in2p3.fr

• Luca Panizzi
  • University of Southampton (School of Physics and Astronomy)
  • l.panizzi_at_soton.ac.uk

Description & Model Implementation

This model is an simplified version of the VLQ FeynRules model, including a single vector-like B singlet quark (Q=-1/3), with non-zero mixings to the first and third generation SM quarks [1] [2] [3]. The pattern of allowed couplings is such that B decays 50% to W, 25% to Z and H bosons in the asymptotic limit where the mass M goes to infinity, in agreement with what is expected from the Goldstone equivalence theorem. The corresponding FeynRules implementation is based on the VLQ.fr model description, which provides a direct connection between experimental observables and the new quark couplings. The model file bsingletvl.fr.zip adds the following interactions to the SM Lagrangian:

The associated electromagnetic and strong interactions are also included, together with the T singlet kinetic and mass terms. The user-defined parameters, summarised in Parameters.pdf​, consist of:

• g*, the B quark coupling strength entering single production (set to 0.1 by default in the KAPPA block).
• M, the B quark mass (set to 1 TeV by default in the MASS block).
• RL, the rate of the B quark decays into light quarks (set to 0.5 by default in the ZETA block).
• Gvl, the VL-VL-gauge factor multiplying the SM coupling of the T quark to the gauge bosons (set to 1 by default in the GVL block).

Note: the bottom partner width is set to 1 GeV by default, but the actual values must be evaluated and adjusted explicitly in MadGraph (specifying all the corresponding decay channels), for a fixed choice of the above parameters. These parameters are combined internally in FeynRules to match the model-independent prescription presented above. For consistency, all light quarks included in the proton definition are restricted to be massless (5F scheme), except for the top, bottom and tau lepton masses. The default model loads the real 3X3 CKM matrix given in Parameters.pdf​ as an external parameter. In general, the presence of new top partners induce model-dependent corrections to the mixings between the novel heavy fermions and the lighter quark families, which are not taken into account here.

Files

Below we provide the tarballs containing the main model files and outputs. The UFO model files have been compiled with Feynrules 1.4.9, and are compatible with MadGraph 1.5.11. To import the model into MadGraph, it is enough to unzip the UFO directory into the models subdirectory of MadGraph, and load the model using the "import model BsingletVL_UFO" command.

• BsingletVL.fr​ : FeynRules model files.
• BsingletVL_UFO.2.zip​ : Model files for MadGraph.
• Parameters.pdf​ : Input parameters description.

References

[1] M. Buchkremer, G. Cacciapaglia, A. Deandrea, L. Panizzi, Model Independent Framework for Searches of Top Partners, ​hep-ph/1305.4172.

[2] G. Cacciapaglia, A. Deandrea, D. Harada, Y. Okada, Bounds and Decays of New Heavy Vector-like Top Partners, ​hep-ph/1007.2933.

[3] F. del Aguila, M. Perez-Victoria, J. Santiago, Observable contributions of new exotic quarks to quark mixing, ​hep-ph/0007316.