STI Publications - View Publication Form #18089
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Publication Information
| Title | Determination of crossing-symmetric p p scattering amplitudes and the quark mass evolution of the s constrained by lattice QCD | ||||
| Abstract | Lattice QCD spectra can be used to constrain partial-wave scattering amplitudes that, while satisfying unitarity, do not have to respect crossing symmetry and analyticity. This becomes a particular problem when extrapolated far from real energies, e.g. in the case of broad resonances like the $\sigma$, leading to large systematic uncertainties in the pole position. In this letter, we will show how dispersion relations can implement the additional constraints, using as input lattice--determined $\pi\pi$ partial wave scattering amplitudes with isospin--0,1,2. We will show that only certain combinations of amplitude parameterizations satisfy all constraints, and that when we restrict to these, the $\sigma$ pole position is determined with minimal systematic uncertainty. The evolution of the now well-constrained $\sigma$ pole with varying light quark mass is presented, showing how it transitions from a bound-state to a broad resonance. | ||||
| Author(s) | Arkaitz Rodas, Jozef Dudek, Robert Edwards | ||||
| Publication Date | February 2024 | ||||
| Document Type | Journal Article | ||||
| Primary Institution | Thomas Jefferson National Accelerator Facility, Newport News | ||||
| Affiliation | Theory & Comp Physics / THEORY CENTER / THEORY CENTER | ||||
| Funding Source | Nuclear Physics (NP), DE-SC0018416 | ||||
| Proprietary? | No | ||||
| This publication conveys | Technical Science Results | ||||
| Document Numbers |
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| Associated with an experiment | No | ||||
| Associated with EIC | No | ||||
| Supported by Jefferson Lab LDRD Funding | No |
Journal Article
| Journal Name | Physical Review D |
| Refereed | No |
| Volume | 109 |
| Issue | |
| Page(s) | 034513 |
Attachments/Datasets/DOI Link
| Document(s) |
pipi_dispersion_letter-92.pdf
(STI Document)
PhysRevD.109.034513.pdf
(Accepted Manuscript)
PhysRevD.109.034513.pdf
(Accepted Manuscript)
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| DOI Link | |
| Dataset(s) | (none) |
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