A5088869863- Particle physics theoretical and experimental studies
- Quantum Chromodynamics and Particle Interactions
- Black Holes and Theoretical Physics
- High-Energy Particle Collisions Research
- Cosmology and Gravitation Theories
- Pulsars and Gravitational Waves Research
- Polynomial and algebraic computation
- Particle Accelerators and Free-Electron Lasers
- Numerical methods for differential equations
- Algebraic and Geometric Analysis
- Quantum Mechanics and Applications
- Electromagnetic Scattering and Analysis
- Noncommutative and Quantum Gravity Theories
- Dark Matter and Cosmic Phenomena
- Geophysics and Gravity Measurements
- advanced mathematical theories
- Gamma-ray bursts and supernovae
- Advanced Numerical Analysis Techniques
- Mathematical functions and polynomials
- Particle Detector Development and Performance
- Distributed and Parallel Computing Systems
- Computational Physics and Python Applications
- Nonlinear Waves and Solitons
- Neutrino Physics Research
- Cryptography and Residue Arithmetic
University of Padua
2016-2025
Istituto Nazionale di Fisica Nucleare, Sezione di Padova
2015-2025
Istituto Nazionale di Fisica Nucleare
2019-2024
Istituto Nazionale di Fisica Nucleare, Galileo Galilei Institute for Theoretical Physics
2023
Roma Tre University
2022
Instituto de Física Corpuscular
2019
Consejo Superior de Investigaciones Científicas
2019
Universitat de València
2019
Universidade Federal do Rio Grande do Norte
2019
University of Würzburg
2019
This Report summarizes the results of activities in 2012 and first half 2013 LHC Higgs Cross Section Working Group. The main goal working group was to present state art Physics at LHC, integrating all new that have appeared last few years. report follows Handbook Sections: 1. Inclusive Observables (CERN-2011-002) second 2. Differential Distributions (CERN-2012-002). After discovery a boson mid-2012 this focuses on refined prediction Standard Model (SM) phenomenology around experimentally...
We present the version 2.0 of program package GoSam for automated calculation one-loop amplitudes. is devised to compute QCD and/or electroweak corrections multi-particle processes within and beyond Standard Model. The new code contains improvements in generation reduction amplitudes, performs better computing time numerical accuracy, has an extended range applicability. "Binoth-Les-Houches-Accord" interface Monte Carlo programs also implemented. give a detailed description installation...
We present the program package GoSam which is designed for automated calculation of one-loop amplitudes multi-particle processes in renormalisable quantum field theories. The amplitudes, are generated terms Feynman diagrams, can be reduced using either D-dimensional integrand-level decomposition or tensor reduction. used to calculate QCD and/or electroweak corrections Standard Model and offers flexibility link model files theories Beyond Model. A standard interface programs calculating real...
This Report summarizes the proceedings of 2015 Les Houches workshop on Physics at TeV Colliders. Session 1 dealt with (I) new developments relevant for high precision Standard Model calculations, (II) PDF4LHC parton distributions, (III) issues in theoretical description production Higgs bosons and how to relate experimental measurements, (IV) a host phenomenological studies essential comparing LHC data from Run I predictions projections future measurements II, (V) Monte Carlo event generators.
We introduce the tools of intersection theory to study Feynman integrals, which allows for a new way projecting integrals onto basis. In order illustrate this technique, we consider Baikov representation maximal cuts in arbitrary space-time dimension. minimal basis differential forms with logarithmic singularities on boundaries corresponding integration cycles. give an algorithm computing decomposition cut using so-called numbers and describe two alternative ways them. Furthermore, show how...
This Report summarizes the proceedings of 2015 Les Houches workshop on Physics at TeV Colliders. Session 1 dealt with (I) new developments relevant for high precision Standard Model calculations, (II) PDF4LHC parton distributions, (III) issues in theoretical description production Higgs bosons and how to relate experimental measurements, (IV) a host phenomenological studies essential comparing LHC data from Run I predictions projections future measurements II, (V) Monte Carlo event generators.
We develop a unitarity method to compute one-loop amplitudes with massless propagators in d=4−2ϵ dimensions. double cuts of the loop via decomposition into four-dimensional and −2ϵ-dimensional integration. The integration is performed using spinor or other efficient techniques. remaining integral −2ϵ dimensions cast terms bubble, triangle, box, pentagon master integrals dimensional shift identities. yields results valid for arbitrary values ϵ.
SAMURAI is a tool for the automated numerical evaluation of one-loop corrections to any scattering amplitudes within dimensional-regularization scheme. It based on decomposition integrand according OPP-approach, extended accommodate an implementation generalized d-dimensional unitarity-cuts technique, and uses polynomial interpolation exploiting Discrete Fourier Transform. can process integrands written either as numerator Feynman diagrams or product tree-level amplitudes. We discuss some...
We review in a pedagogical way the method of differential equations for evaluation D-dimensionally regulated Feynman integrals. After dealing with general features technique, we discuss its application context one- and two-loop corrections to photon propagator QED, by computing Vacuum Polarization tensor exactly D. Finally, treat two cases less trivial equations, respectively associated three-point, four-loop two-point integral. These examples are playgrounds showing more technical aspects...
Unitarity cuts are widely used in analytic computation of loop amplitudes gauge theories such as QCD. We expand upon the technique introduced hep-ph/0503132 to carry out any finite unitarity cut integral. This naturally separates contributions bubble, triangle and box integrals one-loop is not constrained particular helicity configurations. Loop momentum integration reduced a sequence algebraic operations. discuss extraction residues at higher-order poles. Additionally, we offer concise...
We elaborate on the method of differential equations for evaluating Feynman integrals. focus systems master integrals having a linear dependence dimensional parameter. For these we identify criteria to bring them in canonical form, recently identified by Henn, where parameter is disentangled from kinematics. The determination transformation and computation solution are obtained using Magnus Dyson series expansion. apply planar non-planar two-loop QED vertex diagrams massive fermions,...
Working within the post-Newtonian (PN) approximation to general relativity, we use effective field theory (EFT) framework study conservative dynamics of two-body motion at fourth PN order, fifth order in Newton constant. This is one missing pieces preventing computation full Lagrangian using EFT methods. We exploit analogy between diagrams gravitational and two-point functions massless gauge theory, address calculation four-loop amplitudes by means standard multiloop diagrammatic techniques....
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...
We determine the gravitational interaction between two compact bodies up to sixth power in Newton's constant, G_{N}, static limit. This result is achieved within effective field theory approach general relativity, and exploits a manifest factorization property of diagrams which allows us derive post Newtonian (PN) contributions (2n+1) order terms lower ones. recompute this fashion 1PN 3PN potential, present novel 5PN contribution.
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...
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...
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...
Building on recent advances in studying the cohomological properties of Feynman integrals, we apply intersection theory to computation Fourier integrals. We discuss applications pertinent gravitational bremsstrahlung and deep inelastic scattering saturation regime. After identifying bases master latter are evaluated by means differential equation method. Finally, new results with exact dependence spacetime dimension D presented. Published American Physical Society 2024
We present an optimization of the reduction algorithm one-loop amplitudes in terms master integrals. It is based on exploitation polynomial structure integrand when evaluated at values loop-momentum fulfilling multiple cut-conditions, as emerged OPP-method. The reconstruction polynomials, needed for complete reduction, rendered very versatile by using a projection-technique Discrete Fourier Transform. novel implementation applied context NLO QCD corrections to u → W+W−W+.