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Updated: Jun 5, 2026

Setting Limits on Supersymmetry Using Simplified Models

Setting Limits on Supersymmetry Using Simplified Models

Published on: November 15, 2013

η and η' mesons from lattice QCD.

N H Christ¹, C Dawson, T Izubuchi

¹Physics Department, Columbia University, New York, New York 10027, USA.

Physical Review Letters

|January 15, 2011

Summary

This summary is machine-generated.

The large mass of the eta prime meson arises from QCD effects. Lattice QCD calculations confirm this, determining its mass and mixing with the eta meson.

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Area of Science:

Quantum Chromodynamics (QCD)
Particle Physics
Hadron Spectroscopy

Background:

The mass of the ninth pseudoscalar meson (η') is significant in understanding quantum chromodynamics (QCD).
Its large mass is hypothesized to stem from the axial anomaly and gauge field topology in QCD.

Purpose of the Study:

To perform a realistic lattice QCD calculation of the η and η' meson masses and their mixing.
To confirm the role of axial anomaly and gauge field topology in determining the η' meson mass.

Main Methods:

A 2+1-flavor lattice QCD calculation was employed.
The study focused on calculating meson masses and mixing properties.
Extrapolation to physical light quark mass was performed.

Main Results:

The calculation confirmed the hypothesized picture of η' mass origin.
Small octet-singlet mixing was observed with a mixing angle of θ=-14.1(2.8)°.
Extrapolated masses were mη=573(6) MeV and mη'=947(142) MeV, consistent with experimental values.

Conclusions:

The lattice QCD results validate the combined effects of axial anomaly and gauge field topology in generating the η' meson's large mass.
The calculated masses and mixing parameters align with experimental observations.
This study provides strong evidence for the theoretical understanding of pseudoscalar meson properties within QCD.