The Standard Model

Authors

• Claude Duhr
  • ETH, Zurich
  • duhrc@…
• Neil Christensen
  • Michigan State University
  • neil@…
• Benjamin Fuks
  • IPHC Strasbourg / University of Strasbourg
  • benjamin.fuks@…

Model Files

• SM.fr : This is the new main file (FeynRules versions >= v1.6.2).
• SM_old.fr : This is the older implementation (FeynRules versions < v1.6.2).

Model Restrictions

• Massless.rst: Only the top, bottom and charm quarks, and the tau lepton are massive.
• DiagonalCKM.rst: The CKM maktrix is diagonal.
• Cabibbo.rst: 3rd generation mixing is off.

Instructions

The Standard Model (SM) is implemented in both Feynman and unitary gauge. A switch FeynmanGauge has been created. To switch between the two simply set FeynmanGauge = True/False inside your mathematica notebook after loading the model but before doing any calculations with it (finding vertices for example.) FeynmanGauge is set to False by default.

Examples

• SM.nb: This is an example Mathematica® notebook that loads SM.fr and calculates Feynman rules.

Validation

The SM implementation was extensively tested on various 2-to-2 processes. A selection is shown in this table. (Note that the discrepancy with MG stock simply comes from the fact that MG stock has the 4 higgs vertex not implemented).

Interfaces

This model implementation is known to work with the following interfaces:

• FeynArts Interface
• MadGraph Interface
• CalcHEP/CompHEP
• Sherpa