# Research

Física del Sabor en Colima

My main area of research is in the field of particle physics, which can be synthesized as the attempt to explain the universe in terms of its basic fundamental blocks and the interactions among them. A crucial part of the job consists precisely in identifying these blocks (in fact, one first needs to figure out if indeed there are such things!) and to explore the different ways they interact with each other. As of today we have been able to identify several fundamental particles some of which form matter, some of which carry the interactions. Right now we are aware of four different interactions: Electromagnetic, strong, weak and gravitational. Of these four we have been able to fish out the first three with a single fishing net, i.e. a consistent theoretical framework. The fabric of our fishing net is Quantum Field Theory (QFT), and our net receives the name: Standard Model of Particle Physics (SM). Gravity is still at a loose!

In the last couple of decades there has been an incredible amount of experimental verification of the SM. It has surpassed every single test with amazing precision. It is indeed a very robust beast. Nevertheless, we know there are very many aspects of nature that remain either unexplained by the SM, or completely out of its limits. We like to call (due to our immense lyrical ability) all the attempts and speculations made to explore those issues Physics Beyond the Standard Model. Most of my work has been related to such issues.

The main topics that I have been studying for the past few years include the problem of electroweak symmetry breaking and flavor physics. I have studied and worked within the frameworks of Supersymmetry, Grand Unified Theories and Physics of Extra Dimensions. Recently, and perhaps a bit outside of particle physics, I have also been involved in some very interesting research in mathematical physics, specifically in the development of several non-perturbative techniques for the solution of certain classes on nonlinear problems. Here you con access my publications.

Here is a list of topics that I am interested in pursuing at this moment:

- Model building for extended electroweak theories.
- Phenomenological studies associated with Higgs physics at the LHC.
- Models of neutrino masses (horizontal flavor symmetries).
- Physics of extra dimensions.
- Model building for Dark Matter.

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