A5049687572- Particle physics theoretical and experimental studies
- Polynomial and algebraic computation
- Algebraic and Geometric Analysis
- Quantum Chromodynamics and Particle Interactions
- Particle Accelerators and Free-Electron Lasers
- High-Energy Particle Collisions Research
- Mathematical functions and polynomials
- Tensor decomposition and applications
- Advanced Database Systems and Queries
- Probability and Statistical Research
- Enzyme Structure and Function
- Computational Physics and Python Applications
- Cryptography and Residue Arithmetic
- Cosmology and Gravitation Theories
- Protein Structure and Dynamics
- Quantum Computing Algorithms and Architecture
- Sports Analytics and Performance
- Heat shock proteins research
- Electromagnetic Simulation and Numerical Methods
- Stochastic processes and financial applications
- Simulation Techniques and Applications
- Black Holes and Theoretical Physics
- Numerical methods for differential equations
University of Padua
2019-2022
Istituto Nazionale di Fisica Nucleare
2022
University of Copenhagen
2022
Istituto Nazionale di Fisica Nucleare, Sezione di Padova
2019-2022
Institute of Biomedical Technologies
2016
National Research Council
2016
National Academies of Sciences, Engineering, and Medicine
2016
Feynman integrals obey linear relations governed by intersection numbers, which act as scalar products between vector spaces. We present a general algorithm for the construction of multivariate numbers relevant to integrals, and show first time how they can be used solve problem integral reduction basis master projections, directly derive functional equations fulfilled latter. apply it decomposition few at one two loops, steps toward potential applications generic multiloop integrals. The...
A bstract We elaborate on the recent idea of a direct decomposition Feynman integrals onto basis master maximal cuts using intersection numbers. begin by showing an application method to derivation contiguity relations for special functions, such as Euler beta function, Gauss 2 F 1 hypergeometric and Appell function. Then, we apply new decompose whose admit 1-form integral representations, including examples that have from two arbitrary number loops, and/or zero legs. Direct constructions...
The reduction of a large number scalar multi-loop integrals to the smaller set Master Integrals is an integral part computation any amplitudes. usually achieved by employing traditional Integral-By-Parts (IBP) relations. However, in case with scales, this quickly becomes bottleneck. In talk, I will show application recent idea, connecting direct decomposition Feynman Intersection theory. Specifically, we consider few maximally cut and their Integrals.
We present the first fully analytic evaluation of transition amplitude for scattering a massless into massive pair fermions at two-loop level in quantum electrodynamics. Our result is an essential ingredient determination electromagnetic coupling within reactions, beyond currently known accuracy, which has crucial impact on anomalous magnetic moment muon. It will allow, particular, precise leading hadronic contribution to (g-2)_{μ} MUonE experiment CERN, and therefore can be used shed light...
We present a detailed description of the recent idea for direct decomposition Feynman integrals onto basis master by projections, as well derivation differential equations satisfied integrals, employing multivariate intersection numbers. discuss recursive algorithm computation numbers and provide three different approaches which we dub straight decomposition, bottom-up top-down decomposition. These algorithms exploit unitarity structure computing supported on cuts, in various orders, thus...
A key step in modern high energy physics scattering amplitudes computation is to express the latter terms of a minimal set Feynman integrals using linear relations. In this work we present an innovative approach based on intersection theory, order achieve decomposition. This allows for direct reduction, projecting appearing onto integral basis same fashion as vectors may be projected vector basis. Specifically, will derive and discuss few identities between maximally cut integrals, showing...
Phosphorylation is one of the most important post-translational modifications (PTM) employed by cells to regulate several cellular processes. Studying effects phosphorylations on protein structures allows investigate modulation mechanisms proteins including chaperones, like small HSPs, which display different multimeric according phosphorylation a few serine residues. In this context, proposed study aimed at finding method correlate PTM patterns (in particular monomers interface complexes)...
The mini-proceedings of the STRONG2020 Virtual Workshop "Space-like and Time-like determination Hadronic Leading Order contribution to Muon $g-2$", November 24--26 2021, are presented. This is first workshop WP21: JRA3-PrecisionSM: Precision Tests Standard Model (http://www.strong-2020.eu/joint-research-activity/jra3-precisionsm.html). was devoted review working group activitity on: $(\it i)$ Radiative Corrections Monte Carlo tools for low-energy hadronic cross sections in $e^+ e^-$...
We present the computation of massless three-loop ladder-box family with one external off-shell leg using Simplified Differential Equations (SDE) approach. also discuss methods we used for finding a canonical differential equation two tennis-court families leg, and application SDE approach on these families.
We present the computation of massless three-loop ladder-box family with one external off-shell leg using Simplified Differential Equations (SDE) approach. also discuss methods we used for finding a canonical differential equation two tennis-court families leg, and application SDE approach on these families.
This document is a contribution to the proceedings of MathemAmplitudes 2019 conference held in December Padova, Italy. A key step modern high energy physics scattering amplitudes computation express latter terms minimal set Feynman integrals using linear relations. In this work we present an innovative approach based on intersection theory, order achieve decomposition. allows for direct reduction, projecting appearing onto integral basis same fashion as vectors may be projected vector basis....