A5000814212- Particle physics theoretical and experimental studies
- Quantum Chromodynamics and Particle Interactions
- High-Energy Particle Collisions Research
- Black Holes and Theoretical Physics
- Cosmology and Gravitation Theories
- Polynomial and algebraic computation
- Pulsars and Gravitational Waves Research
- Geophysics and Gravity Measurements
- Algebraic and Geometric Analysis
- Energy Efficient Wireless Sensor Networks
- Advanced Numerical Analysis Techniques
- Elevator Systems and Control
- Supply Chain and Inventory Management
- Algebraic structures and combinatorial models
- Advanced Topics in Algebra
- Nonlinear Waves and Solitons
- Optimization and Mathematical Programming
- Particle Detector Development and Performance
- Scheduling and Timetabling Solutions
- Smart Parking Systems Research
- IoT-based Smart Home Systems
- Numerical Methods and Algorithms
- Collaboration in agile enterprises
- Advanced Combinatorial Mathematics
- Cryptography and Residue Arithmetic
University of Padua
2019-2025
Istituto Nazionale di Fisica Nucleare, Sezione di Padova
2019-2024
Roma Tre University
2022
Jharkhand Rai University
2018-2021
Indian Institute of Technology Dhanbad
2021
UCLouvain
2019
Harish-Chandra Research Institute
2012-2015
A bstract We introduce a framework, based on an effective field theory approach, that allows one to perform characterisation studies of the boson recently discovered at LHC, for all relevant channels and in consistent, systematic accurate way. The production decay such with various spin parity assignments can be simulated by means multi-parton, tree-level matrix elements next-to-leading order QCD calculations, both matched parton showers. Several sample applications are presented which show,...
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...
A bstract We present the first calculation of complete set NNLO QED corrections for muon-electron scattering. This includes leptonic, non-perturbative hadronic, and photonic contributions. All fermionic as well subset that only corrects electron or muon line are included with full mass dependence. The genuine four-point two-loop topologies computed an expansion in small mass, taking into account both, logarithmically enhanced constant effects using massification. fast stable implementation...
A bstract We present the result of spin-orbit interaction Hamiltonian for binary systems rotating compact objects with generic spins, up to N 3 LO corrections within post-Newtonian expansion. The calculation is performed by employing effective field theory diagrammatic approach, and it involves Feynman integrals three loops, evaluated dimensional regularization scheme. apply canonical transformations eliminate non-physical divergences spurious logarithmic behaviours Hamiltonian, use latter...
We present the result of quadratic-in-spin interaction Hamiltonian for binary systems rotating compact objects with generic spins, up to NNNLO corrections within post-Newtonian expansion. The calculation is performed by employing effective field theory diagrammatic approach, and it involves Feynman integrals three loops, evaluated dimensional regularization scheme. gauge-invariant binding energy scattering angle, in special kinematic regimes spin configurations, are explicitly derived....
A bstract We present the conservative effective two-body Hamiltonian at third order in post-Newtonian expansion with gravitoelectric quadrupolar dynamical tidal-interactions. Our derivation of Lagrangian is based on diagrammatic field theory approach and it involves Feynman integrals up to three loops, which are evaluated within dimensional regularization scheme. The elimination divergent terms occurring requires addition counterterms ensure finite observables, thereby introducing a...
A bstract We present a simplification of the recursive algorithm for evaluation intersection numbers differential n -forms, by combining advantages emerging from choice delta-forms as generators relative twisted cohomology groups and polynomial division technique, recently proposed in literature. show that capture leading behaviour presence evanescent analytic regulators, whose use is, therefore, bypassed. This simplified is applied to derive complete decomposition two-loop planar non-planar...
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.
A bstract We elaborate on the connection between Gel’fand-Kapranov-Zelevinsky systems, de Rham theory for twisted cohomology groups, and Pfaffian equations Feynman Integrals. propose a novel, more efficient algorithm to compute Macaulay matrices, which are used derive systems of differential equations. The matrices then employed obtain linear relations $$ \mathcal{A} <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mi>A</mml:mi> </mml:math> -hypergeometric (Euler) 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...
A bstract We propose a new method for the evaluation of intersection numbers twisted meromorphic n -forms, through Stokes’ theorem in dimensions. It is based on solution an -th order partial differential equation and multivariate residues. also present algebraic expression contribution from each residue. illustrate our approach with number simple examples mathematics physics.
We present the threshold ${\mathrm{N}}^{3}\mathrm{LO}$ perturbative QCD corrections to rapidity distributions of dileptons in Drell-Yan process and Higgs boson gluon fusion. Sudakov resummation amplitudes, renormalization group invariance, mass factorization theorem provide useful guidelines obtain them an elegant manner. use various state art three loop results that have been recently available these distributions. For boson, we demonstrate numerically importance at LHC.
A bstract We present a gravitoelectric quadrupolar dynamical tidal-interaction Hamiltonian for compact binary system, that is valid to second order in the post-Newtonian expansion. Our derivation uses diagrammatic effective field theory approach, and involves Feynman integrals up two loops, evaluated with dimensional regularization scheme. also derive adiabatic tides, obtained by taking appropriate limit of Hamiltonian, we check its validity verifying complete Poincaré algebra. In limit,...
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...
Understanding the loop corrections to cosmological observables is of paramount importance for having control on quantum consistency a theory in an expanding universe as well phenomenological reasons. In present work, we begin with systematic study such context scalar toy models whose perturbative Bunch-Davies wave function enjoys intrinsic definition terms , focusing one-loop graphs. Owing underlying twisted period integral representation they admit, their combinatorial structure along...
We present the results for associated production of Higgs boson with vector computed at threshold N$^3$LO in QCD. use recently available result on contributions to inclusive Drell-Yan cross-section third order strong coupling constant. have implemented it publicly computer package vh@nnlo, thereby obtaining numerical impact first time. find that inclusion such corrections do reduce theoretical uncertainties resulting from renormalization scale.
We present the rapidity distribution of Higgs boson produced through bottom quark annihilation at third order in QCD using threshold approximation. provide a framework, based on factorization properties amplitudes along with Sudakov resummation and renormalization group invariance, that allows one to perform computation corrections consistent, systematic accurate way. The recent results N3LO correction for Drell-Yan production three loop form factor anti-bottom are used achieve this task....
A bstract The computation of Feynman integrals is often the bottleneck multi-loop calculations. We propose and implement a new method to efficiently evaluate such in physical region through numerical integration suitable set differential equations, where initial conditions are provided unphysical via sector decomposition method. present results for two-loop integrals, non-planar ones complete master gg → γγ $$ q\overline{q} <mml:math...
We present the first full analytic evaluation of scattering amplitude for process $q {\bar q} \to Q Q}$ up-to two loops in Quantum Chromodynamics, a massless $(q)$ and massive $(Q)$ quark flavour. The interference terms one- two-loop amplitudes with Born amplitude, decomposed gauge invariant form factors depending on colour flavour structure, are analytically calculated by keeping complete dependence squared center-of-mass energy, momentum transfer, heavy-quark mass. results expressed as...
At hadron colliders, the leading production mechanism for a pair of photons is from quark-antiquark annihilation at tree level. However, due to large gluon-gluon luminosity, loop-induced process $gg\ensuremath{\rightarrow}\ensuremath{\gamma}\ensuremath{\gamma}$ provides substantial contribution. In particular, amplitudes mediated by top quark become important $t\overline{t}$ threshold and above. this paper we present first complete computation next-to-leading order (NLO) corrections (up...
In this paper, we present the next-to-leading order QCD corrections for di-lepton, di-electroweak boson (ZZ, W+W-) production in both SM and ADD model, matched to HERWIG parton-shower using aMC@NLO framework. A selection of results at 8 TeV LHC, which exhibits deviation from as a result large extra-dimension scenario are presented.
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 $e^+ e^-$...
This is a contribution to the proceedings of MathemAmplitudes 2019 conference held in December Padova, Italy and it built upon series papers~\cite{Mastrolia:2018uzb, Frellesvig:2019kgj, Frellesvig:2019uqt, Frellesvig:2020qot}. In framework intersection theory direct projection any given integral terms preferred basis directly achieved, thus avoiding traditional linear system solving procedure. The coefficients decomposition are expressed numbers. this we review their derivation, focusing on...