Quark mass relations to four-loop order in perturbative QCD.
- P. Marquard, A. Smirnov, V. Smirnov, M. Steinhauser
- PhysicsPhysical Review Letters
- 3 February 2015
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.
Four-loop critical exponents for the Gross-Neveu-Yukawa models
- N. Zerf, L. Mihaila, P. Marquard, I. Herbut, 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…
Charm and bottom quark masses: An update
- K. Chetyrkin, J. Kuhn, 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…
On the ultimate uncertainty of the top quark pole mass
- M. Beneke, P. Marquard, P. Nason, M. Steinhauser
- Physics
- 11 May 2016
Three loop cusp anomalous dimension in QCD.
- A. Grozin, J. Henn, G. Korchemsky, P. Marquard
- PhysicsPhysical Review Letters
- 29 August 2014
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.
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…
$\overline{\rm MS}$-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…
Four-loop wave function renormalization in QCD and QED
- P. Marquard, A. Smirnov, V. Smirnov, M. Steinhauser
- Physics
- 25 January 2018
We compute the on-shell wave function renormalization constant to four-loop order in QCD and present numerical results for all coefficients of the SU$(N_c)$ colour factors. We extract the four-loop…
FCC-hh: The Hadron Collider
- A. Abada, M. Abbrescia, J. Zurita
- PhysicsThe European Physical Journal Special Topics
- 1 June 2019
In response to the 2013 Update of the European Strategy for Particle Physics (EPPSU), the Future Circular Collider (FCC) study was launched as a world-wide international collaboration hosted by CERN.…
Master Integrals For Massless Two-Loop Vertex Diagrams With Three Offshell Legs
- T. G. Birthwright, E. Glover, P. Marquard
- Mathematics
- 29 July 2004
We compute the master integrals for massless two-loop vertex graphs with three off- shell legs. These master integrals are relevant for the QCD corrections to H ! V ∗ V ∗ (where V = W, Z) and for…
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