Pith. sign in

REVIEW 3 cited by

The decay $\eta \to 3 \pi$: study of the Dalitz plot and extraction of the quark mass ratio $Q$

Not yet reviewed by Pith; the record is open.

This paper has not been read by Pith yet. Machine review is queued; the pith claim, tier, and objections will appear here once it completes.

SPECIMEN: schema-true, not a live event

T0 review · schema-true

One-sentence machine reading of the paper's core claim.

pith:XXXXXXXX · record.json · timestamp

arxiv 1610.03494 v2 pith:BUXVAOZF submitted 2016-10-11 hep-ph hep-exhep-lat

classification hep-phhep-exhep-lat
keywords amplitudemassquarkratiodalitzexperimentplotagreement
verification ladder T0 review T1 audit T2 compute T3 formal
0 comments
abstract

The $\eta \to 3 \pi$ amplitude is sensitive to the quark mass difference $m_u-m_d$ and offers a unique way to determine the quark mass ratio $Q^2 \equiv (m_s^2-m_{ud}^2)/(m_d^2-m_u^2)$ from experiment. We calculate the amplitude dispersively and fit the KLOE data on the charged mode, varying the subtraction constants in the range allowed by chiral perturbation theory. The parameter-free predictions obtained for the neutral Dalitz plot and the neutral-to-charged branching ratio are in excellent agreement with experiment. Our representation of the transition amplitude implies $Q = 22.0 \pm 0.7$.

Discussion (0). Continue with ORCID to comment.

Forward citations

Cited by 3 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Novel method for determining the light quark mass ratio using $\eta'\to\eta \pi\pi$ decays

    hep-ph 2025-02 conditional novelty 7.0 of 10

    A novel unit-disk mapping of Dalitz plots is used to extract the light quark mass ratio Q = 22.3 ± 0.7 from BESIII data on η′ → ηππ decays.

  2. $\phi \to 3\pi$ and $\phi\pi^{0}$ transition form factor from Khuri-Treiman equations

    hep-ph 2025-05 accept novelty 5.0 of 10

    A once-subtracted Khuri-Treiman analysis describes KLOE phi to 3pi and phi to pi0 gamma* data simultaneously, with a fitted subtraction constant near the sum-rule value.

  3. Hidden-sectors search and probe of discrete symmetries at the REDTOP experiment

    hep-ex 2026-06 unverdicted novelty 4.0 of 10

    REDTOP targets O(10^14) eta and O(10^12) eta-prime decays to probe four hidden sector portals and test CP/T invariance plus lepton universality.

Pith tools