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Publications Influence

Quark mass relations to four-loop order in perturbative QCD.

- P. Marquard, A. Smirnov, V. Smirnov, M. Steinhauser
- Physics, Medicine
- Physical review letters
- 3 February 2015

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-shell… Expand

145 14- PDF

Charm and bottom quark masses: An update

- K. Chetyrkin, J. Kuhn, +4 authors C. Sturm
- Physics
- 13 July 2009

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- and… Expand

208 10- PDF

The three-loop cusp anomalous dimension in QCD and its supersymmetric extensions

- A. Grozin, J. Henn, G. Korchemsky, P. Marquard
- Physics
- 27 October 2015

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 supersymmetric… Expand

76 8- PDF

On the ultimate uncertainty of the top quark pole mass

- M. Beneke, P. Marquard, P. Nason, M. Steinhauser
- Physics
- 11 May 2016

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 to… Expand

60 8- PDF

Four-loop critical exponents for the Gross-Neveu-Yukawa models

- N. Zerf, L. Mihaila, P. Marquard, I. Herbut, M. M. Scherer
- Physics
- 15 September 2017

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 for… Expand

76 7- PDF

$\overline{\rm MS}$-on-shell quark mass relation up to four loops in QCD and a general SU$(N)$ gauge group

- P. Marquard, A. Smirnov, V. Smirnov, M. Steinhauser, David Wellmann
- Physics
- 21 June 2016

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 the… Expand

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.

- M. Beneke, Y. Kiyo, P. Marquard, A. Penin, J. Piclum, M. Steinhauser
- Physics, Medicine
- Physical review letters
- 23 June 2015

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 significant… Expand

77 6- PDF

Three loop cusp anomalous dimension in QCD.

- A. Grozin, J. Henn, G. Korchemsky, P. Marquard
- Physics, Medicine
- Physical review letters
- 29 August 2014

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 particles… Expand

67 6- PDF

Gluinonia: Energy levels, production and decay

- Matthias R. Kauth, J. Kuhn, P. Marquard, M. Steinhauser
- Physics
- 14 October 2009

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 in… Expand

30 5- PDF

Massive three loop form factor in the planar limit

- J. Ablinger, J. Blümlein, P. Marquard, N. Rana, C. Schneider
- Physics
- 16 July 2018

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