The chromomagnetic operator on the lattice
Date
2013Author
Constantinou, Martha G.Costa, M. G.
Frezzotti, R.
Lubicz, V.
Martinelli, G.
Meloni, D.
Panagopoulos, Haralambos G.
Simula, S.
Publisher
Proceedings of Science (PoS)Source
Proceedings of Science31st International Symposium on Lattice Field Theory, LATTICE 2013
Volume
29July2013Google Scholar check
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We study matrix elements of the "chromomagnetic" operator on the lattice. This operator is contained in the strangenesschanging 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 2point (quark Antiquark) and 3point (gluonquark 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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