One-loop amplitudes for four-point functions with two external massive quarks and two external massless partons up to O({epsilon}{sup 2})

@article{JGKorner2006OneloopAF,
  title={One-loop amplitudes for four-point functions with two external massive quarks and two external massless partons up to O(\{epsilon\}\{sup 2\})},
  author={J.G.Korner and Z. Merebashvili and M. Rogal},
  journal={Physical Review D},
  year={2006},
  volume={73},
  pages={034030}
}
We present complete analytical O({epsilon}{sup 2}) results on the one-loop amplitudes relevant for the next-to-next-to-leading order (NNLO) quark-parton model description of the hadroproduction of heavy quarks as given by the so-called loop-by-loop contributions. All results of the perturbative calculation are given in the dimensional regularization scheme. These one-loop amplitudes can also be used as input in the determination of the corresponding NNLO cross sections for heavy flavor… Expand
14 Citations
Two-loop leading color corrections to heavy-quark pair production in the gluon fusion channel
We evaluate the two-loop QCD diagrams contributing to the leading color coefficient of the heavy-quark pair production cross section in the gluon fusion channel. We obtain an analytic expression,Expand
Two-Loop Planar Corrections to Heavy-Quark Pair Production in the Quark-Antiquark Channel
We evaluate the planar two-loop QCD diagrams contributing to the leading color coefficient of the heavy-quark pair production cross section, in the quark-antiquark annihilation channel. We obtain theExpand
Hadronic top-quark pair production in association with a hard jet at next-to-leading order QCD: phenomenological studies for the Tevatron and the LHC
We report on the calculation of the next-to-leading order QCD corrections to the production of top–antitop-quark pairs in association with a hard jet at the Tevatron and at the LHC. Results forExpand
Two-loop fermionic corrections to heavy-quark pair production: the quark-antiquark channel
We evaluate the fermionic two-loop QCD corrections to the heavy-quark pair production process in the quark-antiquark channel. We obtain analytic results which are valid for any value of theExpand
Heavy-quark production in gluon fusion at two loops in QCD
Abstract We present the two-loop virtual QCD corrections to the production of heavy quarks in gluon fusion. The results are exact in the limit when all kinematical invariants are large compared toExpand
Compton scattering vertex for massive scalar QED
We investigate the Compton scattering vertex of charged scalars and photons in scalar quantum electrodynamics (SQED). We carry out its nonperturbative construction consistent withExpand
Tops from light quarks : Full mass dependence at two-loops in QCD
Abstract I present the two-loop QCD corrections to the production of a massive quark–anti-quark pair in the massless quark–anti-quark annihilation channel. The result is obtained as a combination ofExpand
Updated predictions for the total production cross sections of top and of heavier quark pairs at the Tevatron and at the LHC
We present updated predictions for the total production cross section of top-quark pairs at the Tevatron and at the LHC, and, at the LHC, of heavy-quark pairs with mass in the range 0.5 - 2 TeV. ForExpand
Heavy-quark production in massless quark scattering at two loops in QCD
Abstract We present the two-loop virtual QCD corrections to the production of heavy quarks in the quark–anti-quark annihilation channel in the limit when all kinematical invariants are large comparedExpand
One-loop photonic corrections to Bhabha scattering in d=4-2ε dimensions
The luminosity measurement at the projected International Linear e+e- Collider ILC is planned to be performed with forward Bhabha scattering with an accuracy of the order of 10-4. A theoreticalExpand
...
1
2
...

References

SHOWING 1-10 OF 45 REFERENCES
One-loop corrections to four-point functions with two external massive fermions and two external massless partons
We present a complete set of one-loop matrix elements relevant for the hadroproduction of heavy quarks in next-to-leading order employing dimensional regularization to isolate ultraviolet and softExpand
Three-gluon vertex in arbitrary gauge and dimension.
One-loop off-shell contributions to the three-gluon vertex are calculated, in an arbitrary covariant gauge and in arbitrary space-time dimensions, including quark-loop contributions (with masslessExpand
Two-loop QCD corrections to the heavy quark form factors: Anomaly contributions
Abstract We present closed analytic expressions for the order α s 2 triangle diagram contributions to the matrix elements of the singlet and non-singlet axial vector currents between the vacuum and aExpand
Photoproduction of heavy quarks in next-to-leading order QCD with longitudinally polarized initial states
We present all relevant details of our calculation of the complete next-to-leading order O(αS2α) QCD corrections to heavy flavor photoproduction with longitudinally polarized point-like photons andExpand
Polarized photoproduction of heavy quarks in next-to-leading order 1 Also supported by the Secretari
Abstract The results of a next-to-leading order calculation of heavy quark production in longitudinally polarized photon-nucleon collisions are presented. At c.m. energy S =10 GeV, for γ + p →c+X ,Expand
Next-to-leading order QCD corrections to the polarized photoproduction of heavy flavors
Abstract We present a calculation of the next-to-leading order ( O (α s 2 α)) QCD corrections to heavy flavor photoproduction with longitudinally polarized beams. We apply our results to study theExpand
Next-to-leading order corrections to heavy flavor production in longitudinally polarized photon - nucleon collisions
A complete next-to-leading order calculation of longitudinally polarized heavy quark photoproduction is presented. All results of the purturbative calculation are given in detail. For reactions andExpand
Associated production of heavy flavour states in pp and p̄p interactions: Some QCD estimates
Abstract A perturbative, non-scaling, QCD approach is used to calculate production cross sections for ‘naked’ heavy flavour states in pp and p p collisions. The basic subprocesses considered, usingExpand
Reconciling open-charm production at the Fermilab Tevatron with QCD.
TLDR
This work resum the large logarithms through the evolution of the fragmentation functions and retain the full dependence on the charm-quark mass without additional theoretical assumptions, and describes the cross section distributions in transverse momentum recently measured by the CDF Collaboration in run II at the Fermilab Tevatron within errors. Expand
Two-loop QCD corrections to the heavy quark form-factors: Axial vector contributions
Abstract We present closed analytic expressions of the electromagnetic vertex form factors for heavy quarks at the two-loop level in QCD for arbitrary momentum transfer. The calculation is carriedExpand
...
1
2
3
4
5
...