We consider a planar and a non-planar two-loop Feynman integral family arising in non-factorisable quantum chromodynamics corrections to Higgs-boson production via vector boson fusion. We construct basis integrals which fulfil canonical differential equations with respect to seven variables for the external kinematics and an internal mass. One of the integral families involves nested square roots. We present strategies for deriving canonical master integrals, $\mathrm{d}\log$ forms and analytic continuation for such cases. Including also families with crossed massless legs, we express the $\varepsilon$-expanded integrals in terms of an algebraically independent function basis. For their evaluation, we employ numerical integration of the differential equations.
We consider one-loop QCD corrections to Higgs-boson production via vector-boson fusion at hadron colliders. As an input for future exact NNLO computations, we derive the one-loop helicity amplitudes to higher orders in the dimensional regulator. We present a direct calculation of the amplitudes with spinor-helicity tec...
K. Asteriadis, Linus Gotzfried, A. von Manteuffel· 1 citation· ⚡1
We present the complete set of massless three-loop four-point master integrals with one off-shell external leg. These are essential building blocks for the three-loop virtual corrections to Higgs-boson or vector-boson production in association with a jet at the Large Hadron Collider, required for next-to-next-to-next-t...
T. Gehrmann, Petr Jakubčík, Jungwon Lim et al.· 0 citations
We compute the gauge-invariant, helicity-summed two-loop $N_f$ contribution for $q\bar q\to n\gamma^{(*)}$, $n=2,\ldots,8$. Local ultraviolet renormalisation, infrared factorisation, analytic loop-energy integration and a new automated threshold subtraction yield finite integrals over real spatial momenta. Adaptive mul...
In the framework of QCD sum rules, we study the endpoint slopes of the leading-twist distribution amplitudes in the large-$\beta_0$ approximation for the pion and the longitudinally polarized $\rho$ meson. To this end, we compute the two-point massless correlator of non-local composite vector quark currents with the gl...
We discuss the 4PI effective action as a tool to study resonances in QCD. To this end, we present the 4PI effective action of QCD in linear covariant gauges up to four loops and derive from it the kernels for two-body bound states, using mesons as an example. The emergence of resonances via decay channels is built into...
We present the complete two-loop QCD amplitudes for the production of a top-quark pair in the quark--antiquark annihilation and gluon-fusion channels in analytic form up to order $\mathcal{O}(\varepsilon^2)$. Our analysis maintains full dependence on the top-quark mass and on the number of colours. The amplitudes are e...
F. Buccioni, Christoph Nega, Benjamin Sauer et al.· 0 citations
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