{epsilon}{sub K} at next-to-next-to-leading order: The charm-top-quark contribution

Journal Article · Mon Nov 01 00:00:00 EDT 2010 · Physical Review. D, Particles Fields

DOI:https://doi.org/10.1103/PHYSREVD.82.094026· OSTI ID:21503801

Brod, Joachim ^[1]; Gorbahn, Martin ^[2]

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1. Institut fuer Theoretische Teilchenphysik, Universitaet Karlsruhe, D-76128 Karlsruhe (Germany)
2. Excellence Cluster Universe, Technische Universitaet Muenchen, Boltzmannstrasse 2, D-85748 Garching (Germany)

We perform a next-to-next-to-leading order QCD analysis of the charm-top-quark contribution {eta}{sub ct} to the effective |{Delta}S|=2 Hamiltonian in the standard model. {eta}{sub ct} represents an important part of the short distance contribution to the parameter {epsilon}{sub K}. We calculate the three-loop anomalous dimension of the leading operator Q-tilde{sub S2}, the three-loop mixing of the current-current and penguin operators into Q-tilde{sub S2}, and the corresponding two-loop matching conditions at the electroweak, the bottom-quark, and the charm-quark scale. As our final numerical result we obtain {eta}{sub ct}=0.496{+-}0.047, which is roughly 7% larger than the next-to-leading-order (NLO) value {eta}{sub ct}{sup NLO}=0.457{+-}0.073. This results in a prediction for |{epsilon}{sub K}|=(1.90{+-}0.26)x10{sup -3}, which corresponds to an enhancement of approximately 3% with respect to the value obtained using {eta}{sub ct}{sup NLO}.

• OSTI ID: 21503801
• Journal Information: Physical Review. D, Particles Fields, Vol. 82, Issue 9; Other Information: DOI: 10.1103/PhysRevD.82.094026; (c) 2010 American Institute of Physics; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
ANOMALOUS DIMENSION
B QUARKS
COMPUTERIZED SIMULATION
FORECASTING
HAMILTONIANS
MIXING
QUANTUM CHROMODYNAMICS
STANDARD MODEL
T QUARKS
BEAUTY PARTICLES
ELEMENTARY PARTICLES
FERMIONS
FIELD THEORIES
GRAND UNIFIED THEORY
MATHEMATICAL MODELS
MATHEMATICAL OPERATORS
PARTICLE MODELS
POSTULATED PARTICLES
QUANTUM FIELD THEORY
QUANTUM OPERATORS
QUARKS
SCALE DIMENSION
SIMULATION
TOP PARTICLES
UNIFIED GAUGE MODELS