• Publications
  • Influence
Quark mass relations to four-loop order in perturbative QCD.
We present results for the relation between a heavy quark mass defined in the on-shell and minimal subtraction (MS[over ¯]) scheme to four-loop order. The method to compute the four-loop on-shellExpand
  • 145
  • 14
  • PDF
Charm and bottom quark masses: An update
Using new four-loop results for the heavy quark vacuum polarization and new data for bottom quark production in electron-positron annihilation, an update on the determination of charm- andExpand
  • 208
  • 10
  • PDF
The three-loop cusp anomalous dimension in QCD and its supersymmetric extensions
A bstractWe present the details of the analytic calculation of the three-loop angle-dependent cusp anomalous dimension in QCD and its supersymmetric extensions, including the maximally supersymmetricExpand
  • 76
  • 8
  • PDF
On the ultimate uncertainty of the top quark pole mass
Abstract We combine the known asymptotic behaviour of the QCD perturbation series expansion, which relates the pole mass of a heavy quark to the MS ‾ mass, with the exact series coefficients up toExpand
  • 60
  • 8
  • PDF
Four-loop critical exponents for the Gross-Neveu-Yukawa models
We study the chiral Ising, the chiral XY and the chiral Heisenberg models at four-loop order with the perturbative renormalization group in $4-\epsilon$ dimensions and compute critical exponents forExpand
  • 76
  • 7
  • PDF
$\overline{\rm MS}$-on-shell quark mass relation up to four loops in QCD and a general SU$(N)$ gauge group
We compute the relation between heavy quark masses defined in the modified minimal subtraction and the on-shell schemes. Detailed results are presented for all coefficients of theExpand
  • 66
  • 7
  • PDF
Next-to-Next-to-Next-to-Leading Order QCD Prediction for the Top Antitop S-Wave Pair Production Cross Section Near Threshold in e(+)e(-) Annihilation.
We present the third-order QCD prediction for the production of top antitop quark pairs in electron-positron collisions close to the threshold in the dominant S-wave state. We observe a significantExpand
  • 77
  • 6
  • PDF
Three loop cusp anomalous dimension in QCD.
We present the full analytic result for the three loop angle-dependent cusp anomalous dimension in QCD. With this result, infrared divergences of planar scattering processes with massive particlesExpand
  • 67
  • 6
  • PDF
Gluinonia: Energy levels, production and decay
Abstract Predictions for energy levels, production and decay rate of gluinonia, non-relativistic bound states of gluinos, are presented. The potential between color-octet constituents is derived inExpand
  • 30
  • 5
  • PDF
Massive three loop form factor in the planar limit
We present the color planar and complete light quark QCD contributions to the three loop heavy quark form factors in the case of vector, axial-vector, scalar and pseudo-scalar currents. We eval- Expand
  • 11
  • 4
  • PDF