3-point functions from twisted mass lattice QCD at small quark masses

Details 3-point functions from twisted mass lattice QCD at small quark masses 3-point functions from twisted mass lattice QCD at small quark masses

2005-10-04

arxiv.org/abs/hep-lat/0510023v1

PoS LAT2005 (2005) 341

Physics

High Energy Physics

High Energy Physics - Lattice

6 pages, 2 figures, talk presented at Lattice 2005

Scientific paper

We show at the example of the matrix element between pion states of a twist-2, non-singlet operator that Wilson twisted mass fermions allow to compute this phenomenologically relevant quantitiy at small pseudo scalar masses of O(270 MeV). In the quenched approximation, we investigate the scaling behaviour of this observable that is derived from a 3-point function by applying two definitions of the critical mass and find a scaling compatible with the expected O(a^2) behaviour in both cases. A combined continuum extrapolations allows to obtain reliable results at small pion masses, which previously could not be explored by lattice QCD simulations.

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