Abstract
Support for interactions of spin-\(\frac{3}{2}\) particles is implemented in the FeynRules and ALOHA packages and tested with the MadGraph 5 and CalcHEP event generators in the context of three phenomenological applications. In the first, we implement a spin-\(\frac{3}{2}\) Majorana gravitino field, as in local supersymmetric models, and study gravitino and gluino pair-production. In the second, a spin-\(\frac{3}{2}\) Dirac top-quark excitation, inspired from compositeness models, is implemented. We then investigate both top-quark excitation and top-quark pair-production. In the third, a general effective operator for a spin-\(\frac{3}{2}\) Dirac quark excitation is implemented, followed by a calculation of the angular distribution of the s-channel production mechanism.
Highlights
The recent discovery of the Higgs boson [1, 2] has greatly reinforced our expectation to find physics beyond the StandardModel (BSM) at the Large Hadron Collider (LHC)
We have discovered a particle in Nature which is intrinsically unstable with respect to quantum corrections and either requires unnaturally extreme fine-tuning or stabilization from a new sector of physics which will emerge at scales we will soon probe
FeynRules and exporting the associated Feynman rules to a Universal FeynRules Output (UFO) library to be used with MadGraph 5 and to a CalcHep model
Summary
The recent discovery of the Higgs boson [1, 2] has greatly reinforced our expectation to find physics beyond the Standard. FeynRules, in its CalcHEP export interface, in its Universal FeynRules Output (UFO) export interface, in the UFO format [55], in the Automatic Libraries Of Helicity Amplitude (ALOHA) package [56] and in MadGraph 5 We further use this chain of packages to implement the gravitino of supergravity together with its interactions and a model inspired by quark and lepton compositeness involving a. 3 2 field is in supergravity theories where supersymmetry requires the spingraviton to have a superpartner, the gravitino, with spin In such models, it is often more convenient to work in a twocomponent notation instead of the four-component notation introduced by Rarita and Schwinger.
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