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preprints:2010:ttp10-16 [2016/03/17 11:03] (current)
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 +====== TTP10-16 Epsilon-K at NNLO: The Charm-Top-Quark Contribution ====== 
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 +   <​hidden TTP10-16 ​ Epsilon-K at NNLO: The Charm-Top-Quark Contribution > We perform a next-to-next-to-leading order (NNLO) QCD analysis of the  
 +charm-top-quark contribution eta_ct to the effective Delta S = 2  
 +Hamiltonian in the Standard Model. eta_ct represents an important part  
 +of the short distance contribution to the parameter epsilon_K. We 
 + ​calculate the three-loop anomalous dimension of the leading operator  
 +Q_S2, the three-loop mixing of the current-current and penguin  
 +operators into Q_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_ct = 0.494 +/- 
 +0.046, which is roughly 7% larger than the next-to-leading-order (NLO) 
 + value eta_ct(NLO) = 0.455 +/- 0.069. This results in a prediction for 
 + ​epsilon_K = (1.99 +/- 0.25) x 10^(-3), which corresponds to an  
 +enhancement of approximately 3.3% with respect to the value obtained  
 +using eta_ct(NLO). </​hidden>​ 
 +|**Joachim Brod and Martin Gorbahn** ​ |  
 +|** Phys.Rev. D82 094026 2010  **  | 
 +| {{preprints:​2010:​ttp10-16.pdf|PDF}} {{preprints:​2010:​ttp10-16.ps|PostScript}} [[http://​arxiv.org/​abs/​1007.0684|arXiv]] ​  | 
 +| |