Seminars IFIC

Severo Ochoa Seminar: Scattering observables from lattice QCD: progress in 2- and 3-particle channels

by Steve Sharpe (University of Washington)

Seminar Room, 1.1.1 (IFIC)

Seminar Room, 1.1.1


Paterna (Valencia)

Lattice QCD calculations have made great strides towards calculating resonance properties and decay amplitudes in cases where only two-particle channels are present. This required development of both theoretical formalism and simulation methods. However, many problems of interest involve three-particle channels, e.g. the Roper resonance and K -> 3 pion decays, and for these the theoretical formalism to relate the finite-volume lattice results to infinite-volume scattering quantities has been lacking.

After reviewing methods and results involving two particles, I describe recent work with Raúl Briceño and Max Hansen in which we have developed the needed formalism in a generic relativistic field theory of identical scalar particles, and present results from a numerical implementation of the formalism in the isotropic approximation.

I close with a brief discussion of ongoing work with Tyler Blanton and Fernando Romero-López in which we go beyond the isotropic approximation and include d-wave interactions.

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