42 citations · 199 across the 15 of their papers we have counts for
17 papers
Deriving motivic coactions and single-valued maps at genus zero from zeta generators
Hadleigh Frost, Martijn Hidding, Deepak Kamlesh +3
Multiple polylogarithms are equipped with rich algebraic structures including the motivic coaction and the single-valued map which both found fruitful applications in high-energy p…
Canonicalizing zeta generators: genus zero and genus one
Daniele Dorigoni, Mehregan Doroudiani, Joshua Drewitt +5
Zeta generators are derivations associated with odd Riemann zeta values that act freely on the Lie algebra of the fundamental group of Riemann surfaces with marked points. The genu…
Non-holomorphic modular forms from zeta generators
Daniele Dorigoni, Mehregan Doroudiani, Joshua Drewitt +5
We study non-holomorphic modular forms built from iterated integrals of holomorphic modular forms for SL known as equivariant iterated Eisenstein integrals. A specia…
Motivic coaction and single-valued map of polylogarithms from zeta generators
Hadleigh Frost, Martijn Hidding, Deepak Kamlesh +3
We introduce a new Lie-algebraic approach to explicitly construct the motivic coaction and single-valued map of multiple polylogarithms in any number of variables. In both cases, t…
Cyclic products of higher-genus Szegö kernels, modular tensors and polylogarithms
Eric D'Hoker, Martijn Hidding, Oliver Schlotterer
A wealth of information on multiloop string amplitudes is encoded in fermionic two-point functions known as Szegö kernels. In this paper we show that cyclic products of any number…
Constructing polylogarithms on higher-genus Riemann surfaces
Eric D'Hoker, Martijn Hidding, Oliver Schlotterer
An explicit construction is presented of homotopy-invariant iterated integrals on a Riemann surface of arbitrary genus in terms of a flat connection valued in a freely generated Li…
Cyclic products of Szegö kernels and spin structure sums I: hyper-elliptic formulation
Eric D'Hoker, Martijn Hidding, Oliver Schlotterer
The summation over spin structures, which is required to implement the GSO projection in the RNS formulation of superstring theories, often presents a significant impediment to the…
Modular graph forms from equivariant iterated Eisenstein integrals
Daniele Dorigoni, Mehregan Doroudiani, Joshua Drewitt +5
The low-energy expansion of closed-string scattering amplitudes at genus one introduces infinite families of non-holomorphic modular forms called modular graph forms. Their differe…
Elliptic modular graph forms II: Iterated integrals
Martijn Hidding, Oliver Schlotterer, Bram Verbeek
Elliptic modular graph forms (eMGFs) are non-holomorphic modular forms depending on a modular parameter of a torus and marked points thereon. Traditionally, eMGFs are const…
Feynman parameter integration through differential equations
Martijn Hidding, Johann Usovitsch
We present a new method for numerically computing generic multi-loop Feynman integrals. The method relies on an iterative application of Feynman's trick for combining two propagato…
Next-to-leading-order QCD Corrections to Higgs Production in association with a Jet
R. Bonciani, V. Del Duca, H. Frellesvig +6
We compute the next-to-leading-order (NLO) QCD corrections to the Higgs pT distribution in Higgs production in association with a jet via gluon fusion at the LHC, with exact depend…
Functions Beyond Multiple Polylogarithms for Precision Collider Physics
Jacob L. Bourjaily, Johannes Broedel, Ekta Chaubey +14
Feynman diagrams constitute one of the essential ingredients for making precision predictions for collider experiments. Yet, while the simplest Feynman diagrams can be evaluated in…
Evaluation of multi-loop multi-scale Feynman integrals for precision physics
Ievgen Dubovyk, Ayres Freitas, Janusz Gluza +3
Modern particle physics is increasingly becoming a precision science that relies on advanced theoretical predictions for the analysis and interpretation of experimental results. Th…
DiffExp, a Mathematica package for computing Feynman integrals in terms of one-dimensional series expansions
Martijn Hidding
DiffExp is a Mathematica package for integrating families of Feynman integrals order-by-order in the dimensional regulator from their systems of differential equations, in terms of…
The complete set of two-loop master integrals for Higgs + jet production in QCD
Hjalte Frellesvig, Martijn Hidding, Leila Maestri +2
In this paper we complete the computation of the two-loop master integrals relevant for Higgs plus one jet production initiated in arXiv:1609.06685, arXiv:1907.13156, arXiv:1907.13…
Evaluating two-loop non-planar master integrals for Higgs + jet production with full heavy-quark mass dependence
R. Bonciani, V. Del Duca, H. Frellesvig +6
We present the analytic computation of a family of non-planar master integrals which contribute to the two-loop scattering amplitudes for Higgs plus one jet production, with full h…
All orders structure and efficient computation of linearly reducible elliptic Feynman integrals
Martijn Hidding, Francesco Moriello
We define linearly reducible elliptic Feynman integrals, and we show that they can be algorithmically solved up to arbitrary order of the dimensional regulator in terms of a 1-dime…