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The chromomagnetic operator on the lattice
Constantinou, M Costa, M Frezzotti, R Lubicz, V Martinelli, G Meloni, D Panagopoulos, H Simula, S
Constantinou, M
Costa, M
Frezzotti, R
Lubicz, V
Martinelli, G
Meloni, D
Panagopoulos, H
Simula, S
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2013-01-01
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We study matrix elements of the "chromomagnetic" operator on the lattice. This operator is contained in the strangeness-changing effective Hamiltonian which describes electroweak effects in the Standard Model and beyond. Having dimension 5, the chromomagnetic operator is characterized by a rich pattern of mixing with other operators of equal and lower dimensionality, including also non gauge invariant quantities; it is thus quite a challenge to extract from lattice simulations a clear signal for the hadronic matrix elements of this operator. We compute all relevant mixing coefficients to one loop in lattice perturbation theory; this necessitates calculating both 2-point (quark- Antiquark) and 3-point (gluon-quark- Antiquark) Green's functions at nonzero quark masses. We use the twisted mass lattice formulation, with Symanzik improved gluon action. For a comprehensive presentation of our results, along with detailed explanations and a more complete list of references, we refer to our forthcoming publication [1].
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Proceedings of Science
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