Vittorio Del Duca

The two-loop hexagon Wilson loop in N = 4 SYM

In the planar

Two-loop planar master integrals for Higgs → 3 partons with full heavy-quark mass dependence

\mathcal{N} = 4

A two-loop octagon Wilson loop in N = 4 SYM

supersymmetric Yang-Mills theory, the conformal symmetry constrains multi-loop n-edged Wilson loops to be given in terms of the one-loop n-edged Wilson loop, augmented, for n ≥ 6, by a function of conformally invariant cross ratios. That function is termed the remainder function. In a recent paper, we have displayed the first analytic computation of the two-loop six-edged Wilson loop, and thus of the corresponding remainder function, in terms of known mathematical functions. Although the calculation was performed in the quasi-multi-Regge kinematics of a pair along the ladder, the Regge exactness of the six-edged Wilson loop in those kinematics entails that the result is the same as in general kinematics. We show in detail how the most difficult of the integrals is computed, which contribute to the six-edged Wilson loop. Finally, the remainder function is given as a function of uniform transcendental weight four in terms of Goncharov polylogarithms. We consider also some asymptotic values of the remainder function, and the value when all the cross ratios are equal.

Three-Jet Production in Electron-Positron Collisions at Next-to-Next-to-Leading Order Accuracy

A bstractWe present the analytic computation of all the planar master integrals which contribute to the two-loop scattering amplitudes for Higgs→ 3 partons, with full heavy-quark mass dependence. These are relevant for the NNLO corrections to fully inclusive Higgs production and to the NLO corrections to Higgs production in association with a jet, in the full theory. The computation is performed using the differential equations method. Whenever possible, a basis of master integrals that are pure functions of uniform weight is used. The result is expressed in terms of one-fold integrals of polylogarithms and elementary functions up to transcendental weight four. Two integral sectors are expressed in terms of elliptic integrals. We show that by introducing a one-dimensional parametrization of the integrals the relevant second order differential equation can be readily solved, and the solution can be expressed to all orders of the dimensional regularization parameter in terms of iterated integrals over elliptic kernels. We express the result for the elliptic sectors in terms of two and three-fold iterated integrals, which we find suitable for numerical evaluations. This is the first time that four-point multiscale Feynman integrals have been computed in a fully analytic way in terms of elliptic integrals.

Next-to-leading order QCD corrections to the decay width H → Zγ

In the planar

Jet production in the CoLoRFulNNLO method: Event shapes in electron-positron collisions

\mathcal{N} = 4

Multi-Regge kinematics and the moduli space of Riemann spheres with marked points

supersymmetric Yang-Mills theory at weak coupling, we perform the first analytic computation of a two-loop eight-edged Wilson loop embedded into the boundary of AdS3. Its remainder function is given as a function of uniform transcendental weight four in terms of a constant plus a product of four logarithms. We compare to the strong-coupling result, and test a conjecture on the universality of the remainder function proposed in the literature.

The one-loop one-mass hexagon integral in D = 6 dimensions

Vittorio Del Duca, ∗ Claude Duhr, 3, † Adam Kardos, Gábor Somogyi, and Zoltán Trócsányi Institute for Theoretical Physics, ETH Zürich, 8093 Zürich, Switzerland CERN Theory Division, 1211 Geneva 23, Switzerland Center for Cosmology, Particle Physics and Phenomenology (CP3), Université Catholique de Louvain, 1348 Louvain-La-Neuve, Belgium University of Debrecen and MTA-DE Particle Physics Research Group, H-4010 Debrecen, PO Box 105, Hungary (Dated: March 31, 2016)

Electroweak-boson hadroproduction at large transverse momentum: factorization, resummation, and NNLO corrections

A bstractWe present the analytic calculation of the two-loop QCD corrections to the decay width of a Higgs boson into a photon and a Z boson. The calculation is carried out using integration-by-parts identities for the reduction to master integrals of the scalar integrals, in terms of which we express the amplitude. The calculation of the master integrals is performed using differential equations applied to a set of functions suitably chosen to be of uniform weight. The final result is expressed in terms of logarithms and polylogarithmic functions Li2, Li3, Li4 and Li2,2.

The analytic structure and the transcendental weight of the BFKL ladder at NLL accuracy

We present the CoLoRFulNNLO method to compute higher order radiative corrections to jet cross sections in perturbative QCD. We apply our method to the computation of event shape observables in electron-positron collisions at NNLO accuracy and validate our code by comparing our predictions to previous results in the literature. We also calculate for the first time jet cone energy fraction at NNLO.