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

Peter Marquard1, Alexander V Smirnov2, Vladimir A Smirnov3

  • 1Deutsches Elektronen Synchrotron DESY, Platanenallee 6, 15738 Zeuthen, Germany.

Physical Review Letters
|April 25, 2015
PubMed
Summary
This summary is machine-generated.

We established relations between heavy quark masses using four-loop calculations. This improves the accuracy of determining the minimal subtraction (MS) quark mass for precise physics studies.

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Area of Science:

  • High Energy Physics
  • Quantum Chromodynamics
  • Particle Physics

Background:

  • Accurate determination of heavy quark masses is crucial for precision physics.
  • Relating different heavy quark mass definitions is essential for theoretical consistency.

Purpose of the Study:

  • To compute the relation between on-shell and minimal subtraction (MS) heavy quark masses.
  • To achieve next-to-next-to-next-to-leading order (NNNLO) accuracy in these relations.
  • To improve the precision of heavy quark mass determinations in quantum chromodynamics.

Main Methods:

  • Calculation of four-loop on-shell integrals.
  • Perturbative expansion of heavy quark mass relations.
  • Renormalization group techniques.

Main Results:

  • Presentation of results for the heavy quark mass relation to four-loop order.
  • Establishment of relations between various short-distance masses and the MS quark mass.
  • Achieved NNNLO accuracy for these crucial relations.

Conclusions:

  • The presented four-loop results significantly enhance the accuracy of heavy quark mass determinations.
  • These improved relations are vital for precise comparisons between theoretical predictions and experimental data.
  • The study contributes to advancing precision calculations in quantum chromodynamics.