The talk will review the status and future prospects of IBP reduction techniques. The importance and impact of finite-field based calculations, analytic reconstruction, multivariate partial fractioning and syzygys should be discussed.
The talk will review modern techniques to compute multi-leg/loop amplitudes, as well as future prospects for applications in e+e- collisions. Analytic and numerical techniques will be compared.
The talk will discuss the status and future prospects for the numerical calculation of two-loop integrands and amplitudes with OpenLoops, focusing on applications to future e+e- colliders.
The talk will discuss the status and future prospects of the Loop-Tree Duality approach for the calculation of higher-order corrections to cross sections relevant for future e+e- colliders (both for QCD and EW corrections).
The talk will discuss the status and future prospects of integrand-subtraction methods to construct locally finite two-loop amplitudes, focusing on applications to future e+e- colliders.
The talk will discuss the recent calculations of EW corrections to Drell-Yan and of the four-loop form factor, highlighting how these calculations and the technology adopted can be exploited for multiloop computations at future lepton colliders.
The talk will discuss recent multi-loop calculations involving heavy quarks, highlighting how these calculations and the technology adopted can be exploited for multiloop computations at future e+e- colliders.
The talk will discuss the current understanding of elliptic integrals and future prospects in the context of multiloop calculations for future e+e- colliders. The talk will cover both the aspect of the analytic calculation of this class of integrals as well as their numerical evaluation.
The talk will discuss recent multi-loop calculations with PySecDec, highlighting how these calculations and the technology adopted can be exploited for multiloop computations at future e+e- colliders (e.g. EW corrections and reactions involving quark masses).
The talk will discuss the status of the calculation of electroweak pseudo-observables, as well as the methodology to evaluate Feynman-parameter integrals numerically, with a focus on the Mellin-Barnes method. The prospects for future applications at future e+e- machines will be highlighted.
The talk will discuss the recent calculations of QCD-EW corrections to Drell-Yan, highlighting how these calculations and the technology adopted can be exploited for multiloop computations at future lepton colliders.
The talk will discuss the status and applications of the generalized power-series solution of differential equations (e.g. DiffExp, CAESAR), highlighting how this technology can be exploited for multiloop computations at future lepton colliders.
The talk will discuss the status and applications of the AMFlow method to the calculation of IBP systems and the solution of differential equations for master integrals. The talk will highlight how this technology can be exploited for multiloop computations at future lepton colliders.
