: Study of the Dalitz plot and extraction of the Quark Mass Ratio [The decay : Study of the Dalitz plot and extraction of the quark mass ratio ]
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. Lastly, our representation of the transition amplitude implies $$Q = 22.0 \pm 0.7$$.
- Authors:
-
[1]
; [1]
; [1]
; [2]
- Univ. of Bern, Bern (Switzerland)
- Indiana Univ., Bloomington, IN (United States); Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States)
- Publication Date:
- Report Number(s):
- JLAB-THY-16-2360; DOE/OR/23177-3959; arXiv:1610.03494
Journal ID: ISSN 0031-9007; PRLTAO; TRN: US1701022
- Grant/Contract Number:
- AC05-06OR23177
- Type:
- Accepted Manuscript
- Journal Name:
- Physical Review Letters
- Additional Journal Information:
- Journal Volume: 118; Journal Issue: 2; Journal ID: ISSN 0031-9007
- Publisher:
- American Physical Society (APS)
- Research Org:
- Thomas Jefferson National Accelerator Facility, Newport News, VA (United States)
- Sponsoring Org:
- USDOE Office of Science (SC), Nuclear Physics (NP) (SC-26)
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
- OSTI Identifier:
- 1343881
- Alternate Identifier(s):
- OSTI ID: 1338658
- Free Publicly Accessible Full Text
- Accepted Manuscript (Publisher)
-
Accepted Manuscript (DOE)
- Publisher's Version of Record
- https://doi.org/10.1103/PhysRevLett.118.022001