Renormalization and mixing in lattice QCD: The case of the chromomagnetic operator
Date
2014Author
Constantinou, Martha G.Costa, M. G.
Frezzotti, R.
Lubicz, V.
Martinelli, G.
Meloni, D.
Panagopoulos, Haralambos G.
Simula, S.
ISSN
1742-6588Source
4th International Conference on Hadron Physics, TROIA 2014Volume
562Issue
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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. We also provide a nonperturbative method to compute mixing with lower dimensional operators we use this method in numerical simulations, and extract the mixing with the 3-dimensional scalar density, finding good agreement with one-loop results. © Published under licence by IOP Publishing Ltd.
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