= Type III Seesaw =

== Authors ==

* Carla Biggio
   * Institut de Fisica d'Altes Energies (IFAE), Universitat Autonoma de Barcelona (UAB), Spain
   * email: biggio _at_ ifae.es
* Florian Bonnet
   * INFN-Padova
   * email: florian.bonnet _at_ pd.infn.it

== Model Description ==
This model describes the minimal realisation of the Type III Seesaw. It is an extension of the SM where a fermionic triplet is add to the matter content. The fermionic triplet is introduced into the form of a heavy Dirac charged lepton tr^+/-^ and a heavy Majorana neutral lepton tr^0^.  


== References ==
* "mu->e gamma and tau->l gamma decays in the fermion triplet seesaw", A. Abada, C. Biggio, F. Bonnet, B. Gavela, T. Hambye, Phys. Rev. D78 (2008) 033007.
* "Implementation of the Type III Seesaw model in FeynRules/MadGraph and prospect for discovery with LHC data", C. Biggio, F. Bonnet, xxxxx

== Model Files ==

* [http://feynrules.phys.ucl.ac.be/wiki/TypeIIISeeSaw/typeIIIseesaw1.0.fr typeIIIseesaw1.0.fr]: this is the file containing the model

* For `MadGraph/MadEvent` and BRIDGE users: [http://feynrules.phys.ucl.ac.be/attachment/wiki/TypeIIISeeSaw/formats.inc formats.inc]: this is a modified version of the file formats.inc, that can be useful when dealing with small mixing angles (the original file sets to zero couplings smaller than 10^-5^)

* [http://feynrules.phys.ucl.ac.be/wiki/TypeIIISeeSaw/typeIIIseesaw.nb  typeIIIseesaw.nb]: this is a Mathematica notebook that loads the model and export it to the `MadGraph` and `CalcHep` format.

== Validation ==

In order to validate the implementation of the model we have checked several processes:
 * Comparison with the `FeynRules` generated Standard Model in `MadGraph` (`sm_FR`) of SM 2-to-2 processes :
       * l^+^l^-^ -> ll
       * l^+^l^-^ -> VV
       * VV -> VV
       * HH -> VV
       * GG -> GG
       * qq~ -> qq~
       * qq~ -> VV
       * qq~ -> GG
 
 * Comparison with the `FeynRules` generated Standard Model in `MadGraph` (`sm_FR`) of SM particles decay widths and branching ratios calculated with [http://www.lepp.cornell.edu/Research/TPP/BridgeSoftware.html BRIDGE]
 
 * Comparison with the theoretical predictions (see [http://arxiv.org/pdf/0805.1613 Phys.Rev D78 (2008) 033002] and [http://feynrules.phys.ucl.ac.be/wiki/TypeIIISeeSaw/draft draft]) of the branching ratios calculated with [http://www.lepp.cornell.edu/Research/TPP/BridgeSoftware.html BRIDGE]

 * Comparison with previous studies (see [http://arxiv.org/pdf/0805.1613 Phys.Rev D78 (2008) 033002]) of the production cross section of a pair of triplets at the LHC with 14 TeV as center-of-mass energy:
       * pp -> tr^+^tr^^-^
       * pp -> tr^+/-^tr^0^

Details of the validation procedure can be found in the related notice [http://feynrules.phys.ucl.ac.be/wiki/TypeIIISeeSaw/draft draft].

== Notes ==

We implemented the couplings to Goldstone bosons so the implmentation allows for the use of Feynman gauge. We have checked that the exportation to the `CalcHep` format is successfull however we did not check the `CalcHep` output.