Next-to-next-to-leading order $\mathcal{O}({\alpha }^2{\alpha }_s^2)$ results for top quark pair production in photon--photon collisions: The one-loop squared contributions

Abstract

We calculate the one-loop squared contributions to the next-to-next-to-leading order $\mathcal{O}({\alpha }^2{\alpha }_s^2)$ radiative QCD corrections for the production of heavy quark pairs in the collisions of unpolarized on--shell photons. In particular, we present analytical results for the squared matrix elements that correspond to the product of the one--loop amplitudes. All results of the perturbative calculation are given in the dimensional regularization scheme. These results represent the Abelian part of the corresponding gluon--induced next-to-next-to-leading order cross section for heavy quark pair hadroproduction.

arXiv comment11 pages, Revtex, slight change in title and abstract, one paragraph and reference added, matches published version

References in corpus (20)

• Massive Feynman diagrams and inverse binomial sums
• One-loop Singular Behaviour of QCD and SUSY QCD Amplitudes with Massive Partons
• New results for the epsilon-expansion of certain one-, two- and three-loop Feynman diagrams
• Two-loop QCD Corrections to the Heavy Quark Form Factors: the Vector Contributions
• TESLA Technical Design Report, Part VI, Chapter 1: The Photon Collider at TESLA
• Master Integrals for the 2-loop QCD virtual corrections to the Forward-Backward Asymmetry
• A New Hypergeometric Representation of One-Loop Scalar Integrals in $d$ Dimensions
• Two-Loop QCD Corrections to the Heavy Quark Form Factors: Axial Vector Contributions
• Two-loop QCD helicity amplitudes for massless quark-quark scattering
• Planar box diagram for the (N_F = 1) 2-loop QED virtual corrections to Bhabha scattering
• Hypergeometric representation of the two-loop equal mass sunrise diagram
• Heavy-Quark Production by Polarized and Unpolarized Photons in Next-to-Leading Order
• Two-Parton Contribution to the Heavy-Quark Forward-Backward Asymmetry in NNLO QCD
• High Energy Photon-Photon Collisions -
• Geometrical methods in loop calculations and the three-point function
• One-loop corrections to four-point functions with two external massive fermions and two external massless partons
• Laurent series expansion of a class of massive scalar one-loop integrals to ${\cal O}(\ep^2)
• One-loop amplitudes for four-point functions with two external massive quarks and two external massless partons up to O(epsilon^2)
• Probing Top-Quark Couplings at Lepton and Photon Colliders
• Laurent series expansion of a class of massive scalar one-loop integrals up to ${\cal O}(\ep^2)$ in terms of multiple polylogarithms

Cited by in corpus (3)

• Heavy quark pair production in gluon fusion at next-to-next-to-leading $\mathcal{O}({\alpha }_s^4)$ order: One-loop squared contributions
• Next-to-next-to-leading order $\mathcal{O}({\alpha }_s^4)$ results for heavy quark pair production in quark--antiquark collisions: The one-loop squared contributions
• Double -- photon exclusive processes with heavy quark -- heavy antiquark pairs in high-energy Pb-Pb collisions at LHC