# Renato Fonseca

I am currently (2018–) a postdoctoral fellow at the Institute for Particle and Nuclear Physics, Faculty of Mathematics and Physics, Charles University in Prague.

Previously (2013–2018) I was a postdoctoral fellow at the AHEP group , in the Instituto de Física Corpuscular (Valencia).

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:

• Neutrino mass models, lepton number violation and associated phenomenology (neutrinoless double beta decay and collider signatures)
• Grand unified theories
• Flavour symmetries
• Computer tools for model building
• ...

## Publications

## Computational tools for model building

• 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. To accomplish this, Susyno contains several group theoretical functions which may be useful on their own. For example, it can calculate the dimension, the Casimir or even the explicit matrices in some basis of a Lie group representation (examples 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.

## 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 .

• 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?

## Contact Information

 Address: Institute of Particle and Nuclear PhysicsFaculty of Mathematics and Physics, Charles UniversityV Holešovickách 2, 18000 Prague 8, Czech Republic Telephone: (+420) 221 912 482 Emails: renatofonseca@gmail.com fonseca@ipnp.mff.cuni.cz

Author
Renato Fonseca

Emails
renatofonseca@gmail.com
or
fonseca@ipnp.mff.cuni.cz

Last updated
08 April 2020