Claude Duhr
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View article: CoLoRFul for Hadron Collisions: Integrating the Counterterms
CoLoRFul for Hadron Collisions: Integrating the Counterterms Open
In order to numerically compute scattering cross sections in QCD, one needs to deal with various kinematic divergences that appear at intermediate stages of the calculation. One way of doing this is by setting up an IR subtraction scheme. …
View article: Double Spacelike Collinear Limits from Multi-Regge Kinematics
Double Spacelike Collinear Limits from Multi-Regge Kinematics Open
We study scattering amplitudes and form factors in planar N = 4 super Yang-Mills theory in the limit where two pairs of gluons become collinear. We find that, when the virtualities of both collinear pairs are spacelike, the collinear f…
View article: Two-loop renormalisation of quark and gluon fields in the SMEFT in the on-shell scheme
Two-loop renormalisation of quark and gluon fields in the SMEFT in the on-shell scheme Open
A bstract We compute the contributions of CP-conserving dimension-six SMEFT operators to the two-loop renormalisation constants of quark and gluon fields in the on-shell scheme. Specifically, we consider the top-quark chromomagnetic operat…
View article: Canonical differential equations and intersection matrices
Canonical differential equations and intersection matrices Open
Differential equations are one of the main approaches to evaluate multi-loop Feynman integrals. The construction of a canonical or $\varepsilon$-factorised basis for multi-loop integrals remains a key bottleneck for this approach, especial…
View article: Modular forms for three-loop banana integrals
Modular forms for three-loop banana integrals Open
A bstract We study periods of multi-parameter families of K3 surfaces, which are relevant to compute the maximal cuts of certain classes of Feynman integrals. We focus on their automorphic properties, and we show that generically the perio…
View article: A critical appraisal of tests of locality and of entanglement versus non-entanglement at colliders
A critical appraisal of tests of locality and of entanglement versus non-entanglement at colliders Open
It has been argued more than 30 years ago that it is not possible to test locality at colliders, due to the inability to directly measure non-commutating observables such as spin components in current collider experiments. Recently, there …
View article: Two-loop renormalisation of quark and gluon fields in the SMEFT
Two-loop renormalisation of quark and gluon fields in the SMEFT Open
A bstract We compute the contributions of CP-conserving operators in the dimension-six SMEFT to the two-loop renormalisation constants of quark and gluon fields in the $$ \overline{\textrm{MS}} $$ -scheme. Specifically, we consider the…
View article: Double spacelike collinear limits from multi-Regge kinematics
Double spacelike collinear limits from multi-Regge kinematics Open
We study scattering amplitudes and form factors in planar $\mathcal{N}=4$ Super Yang-Mills theory in the limit where two pairs of gluons become collinear. We find that, when the virtualities of both collinear pairs are spacelike, the colli…
View article: Feynman integrals, elliptic integrals and two-parameter K3 surfaces
Feynman integrals, elliptic integrals and two-parameter K3 surfaces Open
A bstract The three-loop banana integral with three equal masses and the conformal two-loop five-point traintrack integral in two dimensions are related to a two-parameter family of K3 surfaces. We compute the corresponding periods and the…
View article: Aspects of canonical differential equations for Calabi-Yau geometries and beyond
Aspects of canonical differential equations for Calabi-Yau geometries and beyond Open
A bstract We show how a method to construct canonical differential equations for multi-loop Feynman integrals recently introduced by some of the authors can be extended to cases where the associated geometry is of Calabi-Yau type and even …
View article: NNLOCAL: completely local subtractions for color-singlet production in hadron collisions
NNLOCAL: completely local subtractions for color-singlet production in hadron collisions Open
A bstract We present NNLOCAL, a proof-of-concept parton-level Monte Carlo program implementing the extension of the completely local subtraction scheme CoLoRFulNNLO to the case of color-singlet production in hadron collisions. We have buil…
View article: Antipodal self-duality of square fishnet graphs
Antipodal self-duality of square fishnet graphs Open
In strongly deformed planar N=4 super-Yang-Mills theory, or fishnet theory, a point-split single-trace correlation function of four dimension-m scalar operators is given by a single Feynman integral, which involves integrating over locatio…
View article: Aspects of canonical differential equations for Calabi-Yau geometries and beyond
Aspects of canonical differential equations for Calabi-Yau geometries and beyond Open
We show how a method to construct canonical differential equations for multi-loop Feynman integrals recently introduced by some of the authors can be extended to cases where the associated geometry is of Calabi-Yau type and even beyond. Th…
View article: Self-duality from twisted cohomology
Self-duality from twisted cohomology Open
A bstract Recently a notion of self-duality for differential equations of maximal cuts was introduced, which states that there should be a basis in which the matrix for an ε -factorised differential equation is persymmetric. It was observe…
View article: Two-loop renormalisation of quark and gluon fields in the SMEFT
Two-loop renormalisation of quark and gluon fields in the SMEFT Open
We compute the contributions of CP-conserving operators in the dimension-six SMEFT to the two-loop renormalisation constants of quark and gluon fields in the $\overline{\textrm{MS}}$-scheme. Specifically, we consider the top-quark chromoma…
View article: Equivariant primitives of Eisenstein series for congruence subgroups
Equivariant primitives of Eisenstein series for congruence subgroups Open
We study equivariant primitives of Eisenstein series for principal congruence subgroups and show that they are precisely the corresponding non-holomorphic Eisenstein series. We present closed formulas that naturally generalise existing res…
View article: Canonical differential equations beyond genus one
Canonical differential equations beyond genus one Open
A bstract We discuss for the first time canonical differential equations for hyperelliptic Feynman integrals. We study hyperelliptic Lauricella functions that include in particular the maximal cut of the two-loop non-planar double box, whi…
View article: Antipodal self-duality of square fishnet graphs
Antipodal self-duality of square fishnet graphs Open
In strongly-deformed planar ${\cal N}=4$ super-Yang-Mills theory, or fishnet theory, a point-split single-trace correlation function of four dimension-$m$ scalar operators is given by a single Feynman integral, which involves integrating o…
View article: NNLOCAL: completely local subtractions for color-singlet production in hadron collisions
NNLOCAL: completely local subtractions for color-singlet production in hadron collisions Open
We present NNLOCAL, a proof-of-concept parton-level Monte Carlo program implementing the extension of the completely local subtraction scheme CoLoRFulNNLO to the case of color-singlet production in hadron collisions. We have built general …
View article: CoLoRFul for hadron collisions: Integrating the counterterms
CoLoRFul for hadron collisions: Integrating the counterterms Open
In order to numerically compute scattering cross sections in QCD, one needs to deal with various kinematic divergences that appear at intermediate stages of the calculation. One way of doing this is by setting up an IR subtraction scheme. …
View article: Canonical Differential Equations Beyond Genus One
Canonical Differential Equations Beyond Genus One Open
We discuss for the first time canonical differential equations for hyperelliptic Feynman integrals. We study hyperelliptic Lauricella functions that include in particular the maximal cut of the two-loop non-planar double box, which is know…
View article: Charged current Drell-Yan production at N<sup>3</sup>LO
Charged current Drell-Yan production at N<sup>3</sup>LO Open
We present the production cross section for a lepton-neutrino pair at the Large Hadron Collider computed at next-to-next-to-next-to-leading order (N3LO) in QCD perturbation theory. We compute the partonic coefficient functions of a virtual…
View article: On the electron self-energy to three loops in QED
On the electron self-energy to three loops in QED Open
A bstract We compute the electron self-energy in Quantum Electrodynamics to three loops in terms of iterated integrals over kernels of elliptic type. We make use of the differential equations method, augmented by an ϵ -factorized basis, wh…
View article: On the electron self-energy to three loops in QED
On the electron self-energy to three loops in QED Open
We compute the electron self-energy in Quantum Electrodynamics to three loops in terms of iterated integrals over kernels of elliptic type. We make use of the differential equations method, augmented by an $ε$-factorized basis, which allow…
View article: Self-duality from twisted cohomology
Self-duality from twisted cohomology Open
Recently a notion of self-duality for differential equations of maximal cuts was introduced, which states that there should be a basis in which the matrix for an ε-factorised differential equation is persymmetric. It was observed that the …
View article: Rational terms of UV origin to all loop orders
Rational terms of UV origin to all loop orders Open
A bstract Numerical approaches to computations typically reconstruct the numerators of Feynman diagrams in four dimensions. In doing so, certain rational terms arising from the ( D − 4)-dimensional part of the numerator multiplying ultravi…
View article: Geometry from integrability: multi-leg fishnet integrals in two dimensions
Geometry from integrability: multi-leg fishnet integrals in two dimensions Open
A bstract We generalise the geometric analysis of square fishnet integrals in two dimensions to the case of hexagonal fishnets with three-point vertices. Our results support the conjecture that fishnet Feynman integrals in two dimensions, …
View article: Two-Loop QED Corrections to the Scattering of Four Massive Leptons
Two-Loop QED Corrections to the Scattering of Four Massive Leptons Open
We study two-loop corrections to the scattering amplitude of four massive leptons in quantum electrodynamics. These amplitudes involve previously unknown elliptic Feynman integrals, which we compute analytically using the differential equa…