7 research outputs found
Quantum simulation of colour in perturbative quantum chromodynamics
Quantum computers are expected to give major speed-ups for the simulation of
quantum systems. In this work, we present quantum gates that simulate the
colour part of the interactions of quarks and gluons in perturbative quantum
chromodynamics (QCD). As a first application, we implement these circuits on a
simulated noiseless quantum computer and use them to calculate colour factors
for various examples of Feynman diagrams. This work constitutes a first key
step towards a quantum simulation of generic scattering processes in
perturbative QCD.Comment: 20 pages, 11 figure
Quantum algorithms for the simulation of perturbative QCD processes
Quantum computers are expected to give major speed-ups for the simulation of
quantum systems. In these conference proceedings, we discuss quantum algorithms
for the simulation of perturbative Quantum Chromodynamics (QCD) processes. In
particular, we describe quantum circuits for simulating the colour part of the
interactions of quarks and gluons. We implement our circuits on a simulated
noiseless quantum computer and validate them by calculating colour factors for
various examples of Feynman diagrams.Comment: 10 pages, 1 figure. Contribution to the proceedings of RADCOR 202
Mixed QCD-electroweak corrections to dilepton production at the LHC in the high invariant mass region
We compute mixed QCD-electroweak corrections to the neutral-current Drell-Yan production of a pair of massless leptons in the high invariant mass region. Our computation is fully differential with respect to the final state particles. At relatively low values of the dilepton invariant mass, mℓℓ ∼ 200 GeV, we find unexpectedly large mixed QCD-electroweak corrections at the level of −1%. At higher invariant masses, mℓℓ ∼ 1 TeV, we observe that these corrections can be well approximated by the product of QCD and electroweak corrections. Hence, thanks to the well-known Sudakov enhancement of the latter, they increase at large invariant mass and reach e.g. −3% at mℓℓ = 3 TeV. Finally, we note that the inclusion of mixed corrections reduces the theoretical uncertainty related to the choice of electroweak input parameters to below the percent level
Quantum simulation of colour in perturbative quantum chromodynamics
Quantum computers are expected to give major speed-ups for the simulation of quantum systems. In this work, we present quantum gates that simulate the colour part of the interactions of quarks and gluons in perturbative quantum chromodynamics (QCD). As a first application, we implement these circuits on a simulated noiseless quantum computer and use them to calculate colour factors for various examples of Feynman diagrams. This work constitutes a first key step towards a quantum simulation of generic scattering processes in perturbative QCD
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Two-loop leading-color helicity amplitudes for three-photon production at the LHC
Abstract: We calculate all planar contributions to the two-loop massless helicity amplitudes for the process qq¯ → γγγ. The results are presented in fully analytic form in terms of the functional basis proposed recently by Chicherin and Sotnikov. With this publication we provide the two-loop contributions already used by us in the NNLO QCD calculation of the LHC process pp → γγγ [Chawdhry et al. (2019)]. Our results agree with a recent calculation of the same amplitude [Abreu et al. (2020)] which was performed using different techniques. We combine several modern computational techniques, notably, analytic solutions for the IBP identities, finite-field reconstruction techniques as well as the recent approach [Chen (2019)] for efficiently projecting helicity amplitudes. Our framework appears well-suited for the calculation of two-loop multileg amplitudes for which complete sets of master integrals exist