Journal
PHYSICS LETTERS B
Volume 703, Issue 4, Pages 510-515Publisher
ELSEVIER
DOI: 10.1016/j.physletb.2011.08.022
Keywords
Analyticity of S-matrix; Lattice QCD; Chiral extrapolations
Funding
- HGF [VH-VI-231]
- DFG [SFB/TR 16]
- EU I3HP of the EU
- FPA (Spain) [2008-00592, 2007-29115-E, FIS2008-01323, 227431]
- HadronPhysics2 (EU)
- BMBF [06BN9006]
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Hadron masses show a specific dependence on the quark masses. Therefore, the variation of these masses can cause a resonance in a hadronic scattering amplitude to become a bound state. Consequently, the amplitude exhibits a non-analytic behavior at this transition. Crossed amplitudes, where the resonance can be exchanged in the t-channel, can be shown to exhibit the same phenomenon by s --> t analytic continuation. This entails possible kinks in lattice quark-mass extrapolations needed to compute hadronic observables. (C) 2011 Elsevier B.V. All rights reserved.
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