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]

doi:10.1103/PhysRevLett.118.022001

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

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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:

Colangelo, Gilberto ^[1] ; Lanz, Stefan ^[1] ; Leutwyler, Heinrich ^[1] ; Passemar, Emilie ^[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:: 2017-01-09

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


                    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.,  
        Web.  doi:10.1103/PhysRevLett.118.022001.

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                    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.

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                    Colangelo, Gilberto, Lanz, Stefan, Leutwyler, Heinrich, and Passemar, Emilie. 2017.  
        "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.

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@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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10.1103/PhysRevLett.118.022001
https://doi.org/10.1103/PhysRevLett.118.022001

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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 ]

Access journal articles and accepted manuscripts
resulting from DOE research funding

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