Extracting scattering amplitudes for arbitrary two-particle systems with one-particle left-hand cuts via lattice QCD
Abstract We derive a general formalism that relates the spectrum of two-particle systems in a finite volume to physical scattering amplitudes, taking into account the presence of any left-hand branch cuts due to single-particle exchanges. The method first relates the finite-volume spectrum to an inf...
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| Format: | Article |
| Language: | English |
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SpringerOpen
2025-06-01
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| Series: | Journal of High Energy Physics |
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| Online Access: | https://doi.org/10.1007/JHEP06(2025)186 |
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| author | André Baião Raposo Raul A. Briceño Maxwell T. Hansen Andrew W. Jackura |
| author_facet | André Baião Raposo Raul A. Briceño Maxwell T. Hansen Andrew W. Jackura |
| author_sort | André Baião Raposo |
| collection | DOAJ |
| description | Abstract We derive a general formalism that relates the spectrum of two-particle systems in a finite volume to physical scattering amplitudes, taking into account the presence of any left-hand branch cuts due to single-particle exchanges. The method first relates the finite-volume spectrum to an infinite-volume short-range quantity, denoted M 0 $$ {\mathcal{M}}_0 $$ , and then relates the latter to the physical scattering amplitudes via known integral equations. The derivation of both relations is performed using all-orders perturbation theory and is exact up to neglected exponentially suppressed volume dependence. The relations hold for arbitrary two-particle systems with any number of coupled channels, non-identical and non-degenerate particles, and any intrinsic spin. |
| format | Article |
| id | doaj-art-e1ee63f7d3fe4c3eadf933b9fab6b6c2 |
| institution | Kabale University |
| issn | 1029-8479 |
| language | English |
| publishDate | 2025-06-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj-art-e1ee63f7d3fe4c3eadf933b9fab6b6c22025-08-20T03:45:39ZengSpringerOpenJournal of High Energy Physics1029-84792025-06-012025614310.1007/JHEP06(2025)186Extracting scattering amplitudes for arbitrary two-particle systems with one-particle left-hand cuts via lattice QCDAndré Baião Raposo0Raul A. Briceño1Maxwell T. Hansen2Andrew W. Jackura3Institut für Theoretische Physik II, Fakultät für Physik und Astronomie, Ruhr-Universität BochumDepartment of Physics, University of CaliforniaHiggs Centre for Theoretical Physics, School of Physics and Astronomy, The University of EdinburghDepartment of Physics, William & MaryAbstract We derive a general formalism that relates the spectrum of two-particle systems in a finite volume to physical scattering amplitudes, taking into account the presence of any left-hand branch cuts due to single-particle exchanges. The method first relates the finite-volume spectrum to an infinite-volume short-range quantity, denoted M 0 $$ {\mathcal{M}}_0 $$ , and then relates the latter to the physical scattering amplitudes via known integral equations. The derivation of both relations is performed using all-orders perturbation theory and is exact up to neglected exponentially suppressed volume dependence. The relations hold for arbitrary two-particle systems with any number of coupled channels, non-identical and non-degenerate particles, and any intrinsic spin.https://doi.org/10.1007/JHEP06(2025)186Algorithms and Theoretical DevelopmentsHadronic SpectroscopyStructure and InteractionsLattice QCD |
| spellingShingle | André Baião Raposo Raul A. Briceño Maxwell T. Hansen Andrew W. Jackura Extracting scattering amplitudes for arbitrary two-particle systems with one-particle left-hand cuts via lattice QCD Journal of High Energy Physics Algorithms and Theoretical Developments Hadronic Spectroscopy Structure and Interactions Lattice QCD |
| title | Extracting scattering amplitudes for arbitrary two-particle systems with one-particle left-hand cuts via lattice QCD |
| title_full | Extracting scattering amplitudes for arbitrary two-particle systems with one-particle left-hand cuts via lattice QCD |
| title_fullStr | Extracting scattering amplitudes for arbitrary two-particle systems with one-particle left-hand cuts via lattice QCD |
| title_full_unstemmed | Extracting scattering amplitudes for arbitrary two-particle systems with one-particle left-hand cuts via lattice QCD |
| title_short | Extracting scattering amplitudes for arbitrary two-particle systems with one-particle left-hand cuts via lattice QCD |
| title_sort | extracting scattering amplitudes for arbitrary two particle systems with one particle left hand cuts via lattice qcd |
| topic | Algorithms and Theoretical Developments Hadronic Spectroscopy Structure and Interactions Lattice QCD |
| url | https://doi.org/10.1007/JHEP06(2025)186 |
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