Phenomenology of the Fundamental Interactions

Such models can refer to a subset of the Standard Model of particle physics (SM) and to several extensions beyond it (BSM) which are considered in order to overcome some of its limits. Indeed, in spite of its impressive success, the SM is believed to be an effective theory, i.e. a low energy manifestation of a more fundamental theory.

A wide spectrum of experiments - the Large Hadron Collider (LHC), together with flavor, neutrino and astro-particle experiments - is entering the unexplored territory lying beyond the electroweak scale, with the potential of leading to important breakthroughs in our understanding of fundamental physics.

On the other hand for strong interactions the regime of low energy physics such as hadron spectra, dominated by the confinement phase of QCD, is not yet well understood due to inadequacy of perturbative analysis. Heavy ion collision experiments for the investigation of the quark gluon plasma phase require further theoretical insights.

RESEARCH

Perturbative approaches

- QCD and gauge theories in the Regge limit (small x).

This is a kinematical regime where high density phenomena and nonlinear dynamics are important.

It is reached in hadron collider such as LHC, in Deep Inelastic Scattering experiments and heavy ion collisions.

Theoretically it is a playground where for the first time the notion of integrability in gauge theories appeared.

- Analytic or precise numerical calculation of multi-loop contributions to various processes in QED, QCD and the EW model, by using, in particular, the differential equation approach for the evaluation of the Master Integrals.

- Scattering amplitudes for gauge theories: modern techniques

- QCD and gauge theories in the Regge limit (small x).

This is a kinematical regime where high density phenomena and nonlinear dynamics are important.

It is reached in hadron collider such as LHC, in Deep Inelastic Scattering experiments and heavy ion collisions.

Theoretically it is a playground where for the first time the notion of integrability in gauge theories appeared.

- Analytic or precise numerical calculation of multi-loop contributions to various processes in QED, QCD and the EW model, by using, in particular, the differential equation approach for the evaluation of the Master Integrals.

- Scattering amplitudes for gauge theories: modern techniques

Non perturbative analysis for effective and fundamental QFTs

Explore the world of QFTs in several dimensions, focusing on d>2.

Techniques

- Renormalization group analysis at both perturbative e non perturbative (Wilsonian) level.

The functional renormalization group approach is a very convenient tool in both cases.

- Conformal field theories methods (d>2) to study the critical theories.

In particular the analysis of the critical and close to critical behavior offer essential informations to explore the nature of QFTs and their universal behavior, including the UV completeness of the theories (e.g. the asymptotic safety paradigm), Moreover the constructions of global renormalization group flows from UV to IR and the determination of an effective descriptions of “low energy” of fundamental theories (effective theories) are important steps to understand key features of a given theory.

There are many applications to several kinds of QFTs with different spin content: scalar, fermion and gauge theories (QCD, gravity,…) with matter interactions are of primary interest. These is also of interest in several condensed matter systems described in a statistical field theory framework.

Explore the world of QFTs in several dimensions, focusing on d>2.

Techniques

- Renormalization group analysis at both perturbative e non perturbative (Wilsonian) level.

The functional renormalization group approach is a very convenient tool in both cases.

- Conformal field theories methods (d>2) to study the critical theories.

In particular the analysis of the critical and close to critical behavior offer essential informations to explore the nature of QFTs and their universal behavior, including the UV completeness of the theories (e.g. the asymptotic safety paradigm), Moreover the constructions of global renormalization group flows from UV to IR and the determination of an effective descriptions of “low energy” of fundamental theories (effective theories) are important steps to understand key features of a given theory.

There are many applications to several kinds of QFTs with different spin content: scalar, fermion and gauge theories (QCD, gravity,…) with matter interactions are of primary interest. These is also of interest in several condensed matter systems described in a statistical field theory framework.