[Submitted on 15 Jan 2021] (cross-list from hep-lat)
Three-body interactions from the finite-volume QCD spectrum
Ruairí Brett🇺🇸 · Chris Culver🇬🇧 · Maxim Mai🇺🇸 · Andrei Alexandru🇺🇸 · Michael Döring🇺🇸 · Frank X. Lee🇺🇸
We perform a fit of the finite-volume QCD spectrum of three pions at maximal isospin to constrain the three-body force. We use the unitarity-based relativistic three-particle quantization condition, with the GWUQCD spectrum obtained at 315 MeV and 220 MeV pion mass in two-flavor QCD. For the heavier pion mass we find that the data is consistent with a constant contact term close to zero, whereas for the lighter mass we see a statistically significant energy dependence in tension with the prediction of leading order ChPT. Our results also suggest that with enough three-body energy levels, the two-body amplitude could be constrained.
- Comments:
- 17 pages, 6 figures. Updated to match published version
- Subjects:
- High Energy Physics — Lattice (hep-lat); High Energy Physics — Phenomenology (hep-ph); Nuclear Theory (nucl-th)
- arXiv:
- 2101.06144 [pdf]