# The 39th International Symposium on Lattice Field Theory (Lattice 2022)

Aug 8 – 13, 2022
Hörsaalzentrum Poppelsdorf
Europe/Berlin timezone

## $pi^+pi^+K^+$ and $pi^+ K^+K^+$ interactions from the lattice

Aug 8, 2022, 2:00 PM
20m
CP1-HSZ/Ground-0.010 - HS2 (CP1-HSZ)

### CP1-HSZ/Ground-0.010 - HS2

#### CP1-HSZ

450
Oral Presentation Hadron Spectroscopy and Interactions

### Speaker

Stephen Sharpe (University of Washington)

### Description

We present results for the energy levels for two pions and a kaon, and two kaons and a pion, all at maximal isospin, on CLS ensembles D200 and N203, with pion/kaon masses of
200/480 MeV and 340/440 MeV, respectively. We use multiple frames, and have determined many energy levels on each ensemble. We fit these levels, together with those for $2\pi^+$, $2K^+$ and $\pi^+ K^+$, to the predictions of the 2+1 three-particle quantization condition, and thus determine two- and three-particle K matrices. We compare our results to the expectations of chiral perturbation theory. Issues that arise in the implementation of the 2+1 quantization condition are discussed.

### Primary authors

Andrew Hanlon (Helmholtz-Institut Mainz, JGU) Dr Ben Horz Prof. Colin Morningstar (Carnegie Mellon) Fernando Romero-Lopez (MIT) Stephen Sharpe (University of Washington) Mr Zack Draper (University of Washington)