Lower and upper bounds on the mass of light quark-antiquark scalar resonance in the SVZ sum rules
S. S. Afonin
TL;DR
This paper derives bounds on the mass of light scalar mesons using SVZ sum rules, providing analytical insights into their mass estimates independent of the perturbative threshold choice.
Contribution
It introduces simple analytical methods to estimate hadron masses in SVZ sum rules and reveals bounds on scalar meson masses independent of threshold choices.
Findings
Scalar meson mass bounds: 0.78 to 1.28 GeV
Analytical methods for SVZ sum rule estimates
Mass bounds are independent of threshold choice
Abstract
The calculation of the mass of light scalar isosinglet meson within the Shifman-Vainshtein-Zakharov (SVZ) sum rules is revisited. We develop simple analytical methods for estimation of hadron masses in the SVZ approach and try to reveal the origin of their numerical values. The calculations of hadron parameters in the SVZ sum rules are known to be heavily based on a choice of the perturbative threshold. This choice requires some important ad hoc information. We show analytically that the scalar mass under consideration has a lower and upper bound which are independent of this choice: GeV.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.