P. Marquard

Publications141
h-index35
Citations3,595
Highly Influential Citations104
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Quark mass relations to four-loop order in perturbative QCD.
TLDR
Results are presented for the relation between a heavy quark mass defined in the on-shell and minimal subtraction (MS[over ¯]) scheme to four-loop order and the new results are used to establish relations between various short-distance masses and the MS[ over ¯] quarks mass to next-to-next- to-next to-leading order accuracy.
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- and…
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 to…
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 for…
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 supersymmetric…
Three loop cusp anomalous dimension in QCD.
TLDR
With this result, infrared divergences of planar scattering processes with massive particles can be predicted to that order and a closely related quantity in terms of an effective coupling defined by the lightlike cusp anomalies dimension is defined.
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 in…
FCC-hh: The Hadron Collider
In response to the 2013 Update of the European Strategy for Particle Physics, the Future Circular Collider (FCC) study was launched, as an international collaboration hosted by CERN. This study cov…
$\overline{\rm MS}$-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 the…
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 significant…
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