Renato Fonseca

About me

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

• Systematic classification of three-loop realizations of the Weinberg operator
  Ricardo Cepedello, Renato Fonseca and Martin Hirsch
  Supplementary data can be found here
• High-dimensional neutrino masses
  Gaetana Anamiati, Oscar Castillo-Felisola, Renato Fonseca, Juan Carlos Helo and Martin Hirsch
  Supplementary data can be found here
• $\Delta L\geq 4$ processes
  Renato Fonseca and Martin Hirsch
  (to appear on Physical Review D)
  Supplementary data can be found here
• $\Delta L=3$ processes: Proton decay and the LHC
  Renato Fonseca, Martin Hirsch and Rahul Srivastava
  Physical Review D 97, 075026 (2018)
• Quasi Dirac neutrino oscillations
  Gaetana Anamiati, Renato Fonseca and Martin Hirsch
  Physical Review D 97, 095008 (2018)
• The Sym2Int program: going from symmetries to interactions
  Renato Fonseca
  J. Phys. Conf. Ser. 873 (2017) 012045
  (More information on this computer code can be found here)
• Gauge vectors and double beta decay
  Renato Fonseca and Martin Hirsch
  Physical Review D 95, 035033 (2017)
• Lepton number violation in 331 models
  Renato Fonseca and Martin Hirsch
  Physical Review D 94, 115003 (2016)
• A flipped 331 model
  Renato Fonseca and Martin Hirsch
  JHEP 08 (2016) 003
• Roots of unity and lepton mixing patterns from finite flavour symmetries
  Renato Fonseca and Walter Grimus
  (Contribution to the proceedings of the conference "Matter to the Deepest")
  Acta Phys. Polon. B46 (2015) No. 11, 2407
• Consistency of the triplet seesaw revisited
  Cesar Bonilla, Renato Fonseca, José Valle
  Physical Review D 92, 075028 (2015)
• Vacuum stability with spontaneous violation of lepton number
  Cesar Bonilla, Renato Fonseca, José Valle
  Physics Letters B 756 (2016) 345–349
• $SU(5)$-inspired double beta decay
  Renato Fonseca, Martin Hirsch
Physical Review D 92, 015014 (2015)
• On the chirality of the SM and the fermion content of GUTs
  Renato Fonseca
  Nuclear Physics B 897 (2015) 757-780
• Small neutrino masses and gauge coupling unification
  Sofiane Boucenna, Renato Fonseca, Félix González-Canales, and José Valle
  Physical Review D 91, 031702(R) (2015)
• Classification of lepton mixing patterns from finite flavour symmetries
  Renato Fonseca and Walter Grimus
  (Contribution to the proceedings of the ICHEP 2014 conference)
  Nuclear and Particle Physics Proceedings 273–275 (2016) 2618–2620
• Classification of lepton mixing matrices from residual symmetries
  Renato Fonseca and Walter Grimus
  JHEP 09 (2014) 033
• Renormalization in supersymmetric models
  Renato Fonseca (Ph.D. thesis — 2013)
• Renormalization group equations and matching in a general quantum field
  theory with kinetic mixing
  Renato Fonseca, Michal Malinský, and Florian Staub
  Physics Letters B 726 (2013) 882-886
• Supersymmetric $SO(10)$ GUTs with sliding scales
  Carolina Arbeláez, Renato Fonseca, Martin Hirsch, and Jorge Romão
  Physical Review D 87, 075010 (2013)
• Revisiting the $\Gamma(K\to e\nu)/\Gamma(K\to\mu\nu)$ ratio in Supersymmetric Unified Models
  Renato Fonseca, Jorge Romão, and Ana Teixeira
  The European Physical Journal C 72 (2012) 2228
• Running soft parameters in SUSY models with multiple U(1) gauge factors
  Renato Fonseca, Michal Malinský, Werner Porod, and Florian Staub
  Nuclear Physics B 854 (2012) 28
  J. Phys. Conf. Ser. 447 012034 (2013)       (contribution to the DISCRETE 2012 symposium)
• Calculating the renormalisation group equations of a SUSY model with Susyno
  Renato Fonseca
  Computer Physics Communications 183 (2012) 2298
  (More information on this computer code can be found here)
• Discrete Family Symmetries and Tri-Bimaximal Leptonic Mixing
  Renato Fonseca (Master's thesis — 2008)
  

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

• "$\Delta L\geq 4$ 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 .

Non-academic things

• 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).

Contact Information

Author
Renato Fonseca

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

Last updated
17 January 2020