A5063257352- Particle physics theoretical and experimental studies
- Quantum Chromodynamics and Particle Interactions
- Black Holes and Theoretical Physics
- Particle Accelerators and Free-Electron Lasers
- High-Energy Particle Collisions Research
- Atomic and Molecular Physics
- Algebraic and Geometric Analysis
- Quantum and electron transport phenomena
- Neutrino Physics Research
- Cosmology and Gravitation Theories
- Dark Matter and Cosmic Phenomena
- advanced mathematical theories
- Advanced Chemical Physics Studies
- Geophysics and Gravity Measurements
- Atomic and Subatomic Physics Research
- Cold Atom Physics and Bose-Einstein Condensates
- Quantum and Classical Electrodynamics
- Meteorological Phenomena and Simulations
- Physics of Superconductivity and Magnetism
- Calibration and Measurement Techniques
- Geophysics and Sensor Technology
- Cryptography and Residue Arithmetic
- Environmental Conservation and Management
- Laser-Plasma Interactions and Diagnostics
- Muon and positron interactions and applications
Istituto Nazionale di Fisica Nucleare, Sezione di Padova
2018-2024
University of Padua
2018-2024
Istituto Nazionale di Fisica Nucleare
1986-2024
Istituto Nazionale di Fisica Nucleare, Sezione di Bologna
1986-2022
University of Bologna
1994-2022
Enrico Fermi Center for Study and Research
2008-2009
University of Parma
2003-2006
Universitat de València
2001
We describe a new method of calculation generic multiloop master integrals based on the numerical solution systems difference equations in one variable. show algorithms for construction using integration-by-parts identities and methods solutions by means expansions factorial series Laplace transformation. also identification reduction Feynman to integrals, procedures generating solving differential masses momenta integrals. apply our massive vacuum self-energy diagrams up three loops vertex...
I have evaluated up to 1100 digits of precision the contribution 891 4-loop Feynman diagrams contributing electron $g$-$2$ in QED. The total mass-independent is $ a_e = -1.912245764926445574152647167439830054060873390658725345{\ldots} \left(\frac{\alpha}{\pi}\right)^4$. fit a semi-analytical expression numerical value. contains harmonic polylogarithms argument $e^{\frac{i\pi}{3}}$, $e^{\frac{2i\pi}{3}}$, $e^{\frac{i\pi}{2}}$, one-dimensional integrals products complete elliptic and six...
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 evaluate the master integrals for two-loop non-planar box-diagrams contributing to elastic scattering of muons and electrons at next-to-next-to-leading order in QED. adopt method differential equations Magnus exponential determine a canonical set integrals, finally expressed as Taylor series around four space-time dimensions, with coefficients written combination generalised polylogarithms. The electron is treated massless, while we retain full dependence on muon mass. considered are also...
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 recently introduced approach to the classical gravitational dynamics of binary systems involves intricate integrals (linked a combination nonlocal-in-time interactions with iterated $\frac{1}{r}$-potential scattering) which have so far resisted attempts at their analytical evaluation. By using computing techniques developed for evaluation multiloop Feynman (notably harmonic polylogarithms and Mellin transform) we show how analytically compute all entering contribution scattering angle...
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...
We review the current status of theory predictions for elastic $\mu$-$e$ scattering, describing recent activities and future plans initiative related to proposed MUonE experiment.
We present a complete reevaluation of the irreducible two-loop vacuum-polarization correction to photon propagator in quantum electrodynamics, i.e. with an electron-positron pair fermion propagators. The integration is carried out by reducing integrations limited set master integrals, which are calculated using integration-by-parts identities. Dimensional regularization used <a:math xmlns:a="http://www.w3.org/1998/Math/MathML"...
We present simple analytic expressions to compute the hadronic vacuum polarization contribution muon $g$-2 in space-like region up next-to-next-to-leading order. These results can be employed lattice QCD calculations of this as well determinations based on scattering data, like that expected from proposed MUonE experiment at CERN.
In this paper we continue the work began in 2002 on identification of analytical expressions Feynman integrals which require evaluation multiple elliptic integrals. We rewrite and simplify expression three-loop self-mass integral with three equal masses on-shell external momentum. collect analyze a number results double triple By using very high-precision numerical fits, for first time are able to identify compact four-loop four masses, that is one master electron g-2. Moreover, fit some...
A bstract We complete the analytic evaluation of master integrals for two-loop non-planar box diagrams contributing to top-pair production in quark-initiated channel, at next-to-next-to-leading order QCD. The are determined from their differential equations, which cast into a canonical form using Magnus exponential. expressions Laurent series coefficients expressed as combinations generalized polylogarithms, we validate with several numerical checks. discuss continuation planar and...
A recently introduced approach to the gravitational dynamics of binary systems involves intricate integrals, linked nonlocal-in-time interactions arising at 5-loop level classical scattering. We complete analytical evaluation scattering sixth order in Newton's constant, $G$, and post-Newtonian accuracy. use computing techniques developed for multi-loop Feynman integrals obtain our results two ways: high-precision arithmetic, yielding reconstructed analytic expressions, direct integration...
In this Letter we calculate at high-precision the Laurent expansions in ϵ=(4−D)/2 of 17 master integrals which appeared analytical calculation 3-loop QED contribution to electron g–2, using difference and differential equations. The coefficients so obtained are perfect agreement with all expressions already known. values not previously known will be used 4-loop g–2.
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 $e^+ e^-$...