Precise predictions for increasingly complex processes at higher perturbative orders call for a process-independent algorithm that can numerically integrate multi-loop amplitudes directly in momentum space. However, Feynman amplitudes are plagued by infrared and ultraviolet singularities which must be removed at the integrand level before numerical integration can be performed. In recent...
The worldline formalism allows one to obtain compact integral representations combining the information of large numbers of Feynman diagrams. However, their analytic calculation leads to a non-standard integration problem for which existing mathematical algorithms are of little help. Here I will summarize the state-of-the-art of worldline integration focusing on examples from QED in vacuum and...
The prospect of future electron-positron colliders operating as "Higgs factories" in a clean experimental environment presents one of the most promising avenues for Higgs precision measurements. In order to capitalise on this, we need to have good theoretical control over these obvservables. In this talk, I will report on recent calculations in Hadronic Higgs decays, focusing in particular on...
This talk will discuss the calculation of the impulse of a classical black hole scattering event at fifth Post-Minkowskian order. This calculation will contribute to new high precision waveform templates, which are needed for the new generation of gravitational wave detectors. I will describe the "worldline quantum field theoryโ formalism and the state of the art integration techniques that...
In this talk, I report on the complete computation of the mixed QCDโelectroweak corrections to the neutral-current DrellโYan process. I present phenomenological results for several kinematical distributions including the forwardโbackward asymmetry, which is a key observable to measure the weak mixing angle. Special focus will be devoted to the theoretical challenges of the computation, with...
We present the computation of the four-loop QCD corrections to the massless quark form factor with an external axial-vector current. Particular attention is devoted to the singlet contributions, which require a careful and consistent treatment of the axial current and ฮณโ within dimensional regularisation. We analyze the ultraviolet renormalization and elucidate the infrared pole structure of...
In the following years, the improvement of the high-energy measurements in particle accelerators will permit to obtain levels of accuracy never experienced before. In this scenario, the Drell-Yan process constitutes one of the main LHC processes that will benefit from the increase of the experimental dataset, with a future estimated precision of the order of 0,1% in the 1 TeV invariant mass...
The production of identified hadrons in lepton-nucleon scattering (semi-inclusive deep inelastic scattering, SIDIS) allows for detailed analyses of parton distributions and fragmentation functions. We present our novel calculation of the full set of next-to-next-to leading order (NNLO) QCD corrections to neutral and charged current SIDIS coefficient functions. We study the numerical impact of...
The semi-inclusive deep-inelastic scattering (SIDIS) process requires the presence of an identified hadron Hโฒ in the final state, which arises from the scattering of a lepton with an initial hadron P. By employing factorization in quantum chromodynamics (QCD), SIDIS provides essential knowledge on the hadron structure, enabling the exploration of parton distribution functions (PDFs) and...
We apply the threshold resummation formalism for semi-inclusive deep-inelastic scattering (SIDIS) to derive the soft and virtual corrections for the SIDIS cross section up to four loops in QCD. Using the recently computed next-to-next-to-leading order QCD corrections for the SIDIS cross section together with known results for the form factor and splitting functions in QCD up to four loops, we...
Lepton-proton Deep Inelastic Scattering (DIS) is a fundamental process for both the strong and weak sectors of the Standard Model, playing a crucial role in the measurement of the parton distribution functions of the proton, one of the main goals of the EIC program. On the theory side, however, since the starting of the LHC operations, the community has been focused on QCD corrections to...
In the well-studied genus zero case, bases of dlogโก integrands with integer leading singularities define Feynman integrals that automatically satisfy differential equations in canonical form. Such integrand bases can be constructed without input from the differential equations and without explicit involvement of dimensional regularization parameter ฯต. We propose a generalization of this...
Analytic computation of multi-loop Feynman integrals is crucial for the current era of precision physics. These analytic computations often bring us to intriguing algebraic structures which help in establishing deep connections with Mathematics. In this talk I will talk about some analytic computations of elliptic multi-loop Feynman integrals with their phenomenological applications in mind.
We present a method for rewriting dimensionally regulated Feynman parameter integrals in the Minkowski regime as a sum of real, positive integrands multiplied by complex prefactors. This representation eliminates the need for contour deformation, allowing for direct numerical or analytic evaluation of the integrals. Our approach is applied to integrals up to three loops, including cases with...
For simulations of radiative corrections in decays of particles and resonances, questions of systematic ambiguities become more and more demanding with improving precision. Photos Monte Carlo has two modes of operation. The one based on exclusive exponentiation, of a non-Markovian algorithm, starting from a Poissonian distribution of independent photons, is expected to provide the best...
We have computed the electroweak corrections to H โ Z Z* โ 4 charged leptons, including the effect of anomalous HHH coupling in the ฮบ-framework. The results of this scaling are gauge invariant. We have computed the results for H โ e +e โยต +ยต โ and H โ e +e โe +e โ processes. The corrections for both processes depend on the input parameter scheme. In the GF scheme, the electroweak corrections...
