Revisiting the pion's scalar form factor in chiral perturbation theory

Details Revisiting the pion's scalar form factor in chiral perturbation theory Revisiting the pion's scalar form factor in chiral perturbation theory

2011-10-21

arxiv.org/abs/1110.4859v1

Physics

High Energy Physics

High Energy Physics - Lattice

16 pages, 5 figures

Scientific paper

The quark-connected and the quark-disconnected Wick contractions contributing to the pion's scalar form factor are computed in the two and in the three flavour chiral effective theory at next-to-leading order. While the quark-disconnected contribution to the form factor itself turns out to be power-counting suppressed its contribution to the scalar radius is of the same order of magnitude as the one of the quark-connected contribution. This result underlines that neglecting quark-disconnected contributions in simulations of lattice QCD can cause significant systematic effects. The technique used to derive these predictions can be applied to a large class of observables relevant for QCD-phenomenology.

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