= 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
   * Istituto Nazionale di Fisica Nucleare (INFN), Sezione di Padova, Italy
   * email: florian.bonnet _at_ physik.uni-wuerzburg.de

== Model Description ==
This model describes the minimal realisation of the Type III seesaw. It is an extension of the Standard Model where a fermionic SU(2) triplet is added to the matter content in order to give mass to one neutrino via a seesaw mechanism. The fermionic triplet is introduced under the form of a heavy Dirac charged lepton tr^+/-^ and a heavy Majorana neutral lepton tr^0^. For an exhaustive description of the model, see references below. 


== 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 [arXiv:0803.0481 arXiv:0803.0481]
* "Implementation of the Type III Seesaw model in `FeynRules/MadGraph` and prospects for discovery with early LHC data", C. Biggio, F. Bonnet, accepted for publication on Eur. Phys. J. C [http://arxiv.org/abs/1107.3463 arxiv:1107.3463]

== Model Files ==

* [http://feynrules.irmp.ucl.ac.be/attachment/wiki/TypeIIISeeSaw/typeIIIseesaw1.1.fr typeIIIseesaw1.1.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.irmp.ucl.ac.be/attachment/wiki/TypeIIISeeSaw/typeIIIseesaw.nb  typeIIIseesaw.nb]: this is an example of the Mathematica notebook that loads the model, performs few checks, 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 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 on [http://arxiv.org/abs/1107.3463 arxiv:1107.3463]. 


== Software ==

The model has been tested on the following machines configurations:
* iMac Intel Core 2 Duo, Mac OS X 10.6.6, FeynRules v1.4.3/FeynRulesv1.6beta, Mathematica 8
* Mac Book Intel Core Duo, Mac OS X 10.4.11, FeynRules v1.4.3, Mathematica 6

We also checked the compatibility of our model with Madgraph version 4 and version 5. 
(N.B.: when running this model with mg4 some channels are not generated. Please, use mg5 to have the correct result.)


== Notes ==

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

- N.B.: when using this model with `CalcHep` the variables (such as input parameters) longer than 6 characters must be redifined to shorter words (thanks to Jayash Panigrahi).

- COMMENTS TO THE VARIOUS VERSIONS:
  - 1.1: "`IndexRange[ Index[SU2W] ] = Range[3]`" has been substituted by "`IndexRange[ Index[SU2W] ] Unfold[Range[3]]`" , in order to get UFO output. If you do not need them, you can use the 1.0 version.