Theses

Innovative Approximation Methods in QCD and Flavor Physics

by Camilo Riojas (IFAE / UAB)

Europe/Madrid
IFAE Seminar Room (In Person)

IFAE Seminar Room

In Person

Description

This thesis explores the application of Padé and D-Log Padé approximants in Quantum Chromodynamics (QCD), focusing on their potential to model divergent functions while maintaining essential analytical properties. We propose a new convergence conjecture for D-Log Padé approximants in the case of Stieltjes functions and perform a comparative analysis of both techniques across several QCD-related scenarios. These include determining the anomalous magnetic moment of the muon, parameterising form factors in B-meson decays, and studying the pion form factor. Our findings demonstrate the effectiveness of these approximants in reducing uncertainties and improving parameterisations of expressions with poles or branch cuts.

Supervisor: Pere Masjuan

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