The Relevance of the Dipole Penguin Operators in $ε'/ε$

Details The Relevance of the Dipole Penguin Operators in $ε'/ε$ The Relevance of the Dipole Penguin Operators in $ε'/ε$

1993-12-13

arxiv.org/abs/hep-ph/9312266v2

Phys.Lett.B327:136-144,1994

Physics

High Energy Physics

High Energy Physics - Phenomenology

14 pages, LATEX, CERN-TH.7097/93 and SISSA 174/93/EP, (alternative evaluation of the hadronic matrix element and new tables)

Scientific paper

10.1016/0370-2693(94)91541-5

The standard model contribution to $\epsilon'/\epsilon$ of the magnetic- and electric-dipole penguin operators $Q_{11} = \frac{g_s}{16\pi^2} \, m_s \: \bar{s}\, \sigma_{\mu\nu} t^a G^{\mu\nu}_a (1-\gamma_5 )\, d $ and $Q_{12} = \frac{eQ_d}{16\pi^2}\, m_s \: \bar{s}\, \sigma_{\mu\nu} F^{\mu\nu} (1-\gamma_5 )\, d $ is discussed. While the electromagnetic penguin $Q_{12}$ seems to have a vanishingly small matrix element, we find that the gluonic dipole operator $Q_{11}$ may give a contribution to $\epsilon'/\epsilon$ comparable to that of other operators so far considered, and should therefore be consistently included in the analysis.

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