# Renato Fonseca

I am currently (2021–) a postdoctoral fellow at the High-energy physics group (FTAE) of the University of Granada.

Previously I was a postdoctoral fellow at the Institute for Particle and Nuclear Physics (IPNP) in Prague (2018–2021), and at the Instituto de Física Corpuscular (IFIC) in Valencia (2013–2018).

I did my Ph.D. (2009–2013) at CFTP, a research center of Instituto Superior Técnico, in Lisbon, under the supervision of Jorge C. Romão and Ana M. Teixeira.

Research areas:

• Effective field theories
• Neutrino mass models, lepton number violation and associated phenomenology
• Grand unified theories
• Computer tools for model building
• Flavour symmetries
• ...

## Publications

## Computational tools for model building

• GroupMath
GroupMath is a Mathematica package containing several functions related to Lie Algebras and the permutation group. A tutorial discussing several of the available functions can be found here .
• Sym2Int
Sym2Int is a Mathematica package which lists all valid interactions given a model's gauge group and fields. The fields are specified by their gauge and Lorentz transformation properties.
• Susyno
Susyno is a Mathematica package which calculates the 2-loop renormalisation group equations of supersymmetric models, based on any gauge group and with any field content.

## Supplementary research data

As part of some research projects, it is often useful to share additional information which cannot be included in the printed article (long lists, data files, and so on):
• "$\Delta L\geq 4$ processes", 1804.10545 [hep-ph]
The full list of operators which violate lepton number in four units can be found here .
• "High-dimensional neutrino masses", 1806.072645 [hep-ph]
The full list of tree diagrams implementing the d=9,11,13 neutrino mass operators $LLHH(HH^*)^{(d-5)/2}$ can be found here .
• "Systematic classification of three-loop realizations of the Weinberg operator", 1807.00629 [hep-ph]
A list of the topologies and diagrams which are relevant for the 3-loop realization of the Weinberg operator $LLHH$ can be found here .

## Math and science related topics

• The Mandelbrot set
The Mandelbrot set is a famous mathematical object which gives nice pictures and is very easy to code. This page contains a small Javascript program which I created just for fun, and there is also a laid-back discussion of some basic features of this curious object (note: if you can, use Google Chrome to view this page, because it runs Javascript faster).
• Astronomy: observing Pluto from home
Is the dwarf planet Pluto observable from an apartment in a big city like Prague?
• Astronomy: observing an exoplanet from home from home
Only recently, in the last 30 years, has there been conclusive evidence of the existence of planets outside our Solar System (often called exoplanets). The most straightforward method for detecting them is to observe a periodic dimming of the host star as the planet orbits in front of it. Is it possible to spot an exoplanet from home, with a telescope and a camera?

## Contact Information

Author
Renato Fonseca

Emails
renatofonseca@gmail.com
or
renatofonseca@ugr.es

Last updated
13 December 2021