Thesis

Four-dimensional regularization tools for precision calculations in and beyond the Standard Model

• Call:

  PT-CERN call 2020/1

• Academic Year:

  2020/2021

• Domain:

  Astroparticle Physics

• Supervisor:

  Brigitte Hiller

• Co-Supervisor:

  Adriano Cherchiglia

• Institution:

  Universidade de Coimbra

• Host Institution:

  CFISUC - Centro de Fisica da Universidade de Coimbra

• Abstract:

  The data collected and analysed at the LHC do not point to significant deviations from the Standard Model (SM), yet some open questions remain unanswered such as dark mass, dark energy, baryon asymmetry, Higgs mass fine tuning, strong CP problem. To distinguish background (SM) from possible new contributions, it is paramount to develop stringent tests of self consistency of the SM. In this context, the calculation of cross sections beyond leading order in perturbation theory is a vital ingredient to allow comparison with experimental data provided by particle colliders. Whilst computations at next-to-leading order (NLO) are standard, it is well known that next to next leading order (N2LO) and subsequent N3LO calculations demand sophisticated theoretical and computational strategies, relying heavily on regularization and renormalization schemes. It is argued that Implicit Regularization is an ideal framework to implement some important processes in the SM and beyond, analysed in this proposal.