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Strange-quark mass from tau-lepton decays with O(alpha3s) accuracy
P A Baikov1, K G Chetyrkin, J H Kühn
1Institute of Nuclear Physics, Moscow State University, Moscow 119899, Russia.
Physical Review Letters
|August 11, 2005
Summary
This study presents the first complete calculation of quark mass corrections for tau-lepton decays. This advances the precise determination of the strange-quark mass (m(s)) using updated theoretical and experimental values.
Area of Science:
- High Energy Physics
- Quantum Chromodynamics
- Particle Physics
Background:
- Semihadronic tau-lepton decays are crucial for determining fundamental particle physics parameters.
- Accurate calculations require precise understanding of quark mass corrections and perturbative series.
Purpose of the Study:
- To compute the quadratic quark mass correction to the relevant correlator at the four-loop level.
- To enable a more accurate extraction of the strange-quark mass (m(s)) from tau-decay data.
- To improve the theoretical precision of m(s) determination.
Main Methods:
- Performed the first complete four-loop calculation of the quadratic quark mass correction.
- Included the real part of the correction for enhanced accuracy.
- Utilized renormalization group improvement for the perturbative series.
Main Results:
- The newly computed alpha3s term is significantly large, validating its inclusion.
- The strange-quark mass (m(s)) determination shows a ~20% increase in the central value.
- Theoretical uncertainty in m(s) is reduced by approximately 50%.
Conclusions:
- This work provides a more precise value for the strange-quark mass.
- The enhanced accuracy impacts fundamental tests of the Standard Model.
- Future phenomenological analyses benefit from these refined calculations.