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Determination of the Wilson ChPT low energy constant c_2 · Around

2011

Determination of the Wilson ChPT low energy constant c_2

Bernardoni, Fabio, Bulava, John, Sommer, Rainer

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Following a suggestion by Aoki and B\"ar, c2 can be extracted by analyzing volume effects in 2-pion states.

To this end we consider renormalized ratios of four point to two point correlation functions.
We present the results from various CLS lattices, with pion masses ranging from 280 to 450 MeV and lattice spacings of 0.07 fm and 0.08 fm.
This low energy constant is useful to understand discretization effects in chiral extrapolations with Wilson fermions, especially for quantities which vanish in the chiral limit, like the pion mass.

Built on

Phys.Rev. D30 (1984) 2653
S. Aoki, · 1984
Earlier work this paper cites.
Phys.Rev. D58 (1998) 074501, hep-lat/9804028
S.R. Sharpe and J. Singleton, Robert L., · 1998
Earlier work this paper cites.
PoS LAT2007 (2007) 122, 0709.4564
ETM Collaboration, C. Michael and C. Urbach, · 2007
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