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Title: η 3 π : Study of the Dalitz plot and extraction of the Quark Mass Ratio Q [The decay η 3 π : Study of the Dalitz plot and extraction of the quark mass ratio Q ]

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. Lastly, our representation of the transition amplitude implies $$Q = 22.0 \pm 0.7$$.

Authors:
 [1];  [1];  [1];  [2]
  1. Univ. of Bern, Bern (Switzerland)
  2. Indiana Univ., Bloomington, IN (United States); Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States)
Publication Date:
Research Org.:
Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States)
Sponsoring Org.:
USDOE Office of Science (SC), Nuclear Physics (NP)
OSTI Identifier:
1343881
Alternate Identifier(s):
OSTI ID: 1338658
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
Resource 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)
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS

Citation Formats

Colangelo, Gilberto, Lanz, Stefan, Leutwyler, Heinrich, and Passemar, Emilie. η→3π: Study of the Dalitz plot and extraction of the Quark Mass Ratio Q [The decay η→3π: Study of the Dalitz plot and extraction of the quark mass ratio Q]. United States: N. p., 2017. Web. doi:10.1103/PhysRevLett.118.022001.
Colangelo, Gilberto, Lanz, Stefan, Leutwyler, Heinrich, & Passemar, Emilie. η→3π: Study of the Dalitz plot and extraction of the Quark Mass Ratio Q [The decay η→3π: Study of the Dalitz plot and extraction of the quark mass ratio Q]. United States. doi:10.1103/PhysRevLett.118.022001.
Colangelo, Gilberto, Lanz, Stefan, Leutwyler, Heinrich, and Passemar, Emilie. Mon . "η→3π: Study of the Dalitz plot and extraction of the Quark Mass Ratio Q [The decay η→3π: Study of the Dalitz plot and extraction of the quark mass ratio Q]". United States. doi:10.1103/PhysRevLett.118.022001. https://www.osti.gov/servlets/purl/1343881.
@article{osti_1343881,
title = {η→3π: Study of the Dalitz plot and extraction of the Quark Mass Ratio Q [The decay η→3π: Study of the Dalitz plot and extraction of the quark mass ratio Q]},
author = {Colangelo, Gilberto and Lanz, Stefan and Leutwyler, Heinrich and Passemar, Emilie},
abstractNote = {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 $Q = 22.0 \pm 0.7$.},
doi = {10.1103/PhysRevLett.118.022001},
journal = {Physical Review Letters},
number = 2,
volume = 118,
place = {United States},
year = {2017},
month = {1}
}

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    Works referencing / citing this record:

    Khuri–Treiman equations for $$\pi \pi $$ π π scattering
    journal, July 2018


    Constraints on low energy QCD parameters from $$\eta \rightarrow 3\pi $$ η → 3 π and $$\pi \pi $$ π π scattering
    journal, March 2018


    Khuri–Treiman equations for $$\pi \pi $$ π π scattering
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    Isospin splittings in the decuplet baryon spectrum from dynamical QCD + QED
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    journal, July 2017


    Dispersive analysis of $$\eta \rightarrow 3 \pi $$ η → 3 π
    journal, November 2018


    Solving integral equations in $$\eta \rightarrow 3\pi $$ η → 3 π
    journal, November 2018