Resonances from lattice QCD

The spectrum of hadron is mainly composed as shortly-lived states (resonance) that decay onto two or more hadrons. These resonances play an important role in a variety of phenomenologically significant processes. In this talk, I give an overview on the present status of a rigorous program for studyi...

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Bibliographic Details
Published in:EPJ Web of Conferences 2018-01, Vol.175, p.1016
Main Author: Briceno, Raul A.
Format: Article
Language:English
Subjects:
Amplitudes
Form factors
Formalism
Hadrons
PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
Quantum chromodynamics
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Summary:The spectrum of hadron is mainly composed as shortly-lived states (resonance) that decay onto two or more hadrons. These resonances play an important role in a variety of phenomenologically significant processes. In this talk, I give an overview on the present status of a rigorous program for studying of resonances and their properties using lattice QCD. I explain the formalism needed for extracting resonant amplitudes from the finite-volume spectra. From these one can extract the masses and widths of resonances. I present some recent examples that illustrate the power of these ideas. I then explain similar formalism that allows for the determination of resonant electroweak amplitudes from finite-volume matrix elements. I use the recent calculation of the πγ * → ππ amplitude as an example illustrating the power of this formalism. From such amplitudes one can determine transition form factors of resonances. I close by reviewing on-going efforts to generalize these ideas to increasingly complex reactions and I then give a outlook of the field.
ISSN:2100-014X
2101-6275
2100-014X
DOI:10.1051/epjconf/201817501016