Research Interests¶

My primary research focus is Perturbative QCD and Standard Model Phenomenology. I am particularly interested in all-order resummation techniques for event shape observables at electron-positron colliders and the LHC.

Current Research (Master's Thesis)¶

Topic: Precision QCD and Higher-Order Resummation
Supervisor: Prof. Giancarlo Ferrera

I am currently a Master's Candidate (Laureando Magistrale) continuing the investigation into high-precision QCD predictions. My work focuses on:

Higher-Order Resummation: Extending the analytical resummation accuracy (towards N³LL and beyond) for event shapes.
Phenomenological Applications: Analyzing the impact of these higher-order corrections on the precise extraction of the strong coupling constant, \(\alpha_s\), from collider data.

Previous Research (Bachelor's Project)¶

Resummation in the Thrust Distribution¶

For my Bachelor's thesis, I studied the resummed cross-section for the Thrust (\(T\)) variable in \(e^+e^-\) annihilation processes.

Definition: Thrust

Thrust is a classic event shape variable used to characterize the geometry of an event. It is defined as:

\[ \tau = 1-T = 1- \max_{\vec{n}} \frac{\sum_i |\vec{p}_i \cdot \vec{n}|}{\sum_i |\vec{p}_i|} \]

In the limit \(\tau \to 0\) (the two-jet limit), large logarithms of the form \(L = \ln(1/\tau)\) appear at every order in perturbation theory, spoiling the convergence of the fixed-order expansion.

Methodology: I reproduced and extended the seminal calculations by Catani, Trentadue, Turnock, and Webber (CTTW), who established the standard formalism for exponentiating these large logarithms in the Soft and Collinear limits.

Key Achievements:

Phase Space Analysis: Implemented Genetic Algorithms (Heuristic optimization) to numerically determine the kinematic lower bounds of Thrust as a function of final-state parton multiplicity.
Precision Calculation: Extended the resummed integrated cross-section \(\Sigma(\tau)\) in the two-jet limit, achieving N³LL accuracy (Next-to-Next-to-Next-to-Leading Logarithmic).

Seminal Reference

S. Catani, L. Trentadue, G. Turnock, B.R. Webber, "Resummation of large logarithms in e+ e- event shape distributions", Nucl. Phys. B 407 (1993).

Download Bachelor Thesis