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]

Colangelo, Gilberto; Lanz, Stefan; Leutwyler, Heinrich; Passemar, Emilie

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 $Q$ ]

Journal Article · Mon Jan 09 00:00:00 EST 2017 · Physical Review Letters

DOI:https://doi.org/10.1103/PhysRevLett.118.022001· OSTI ID:1343881

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)

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 $$Q = 22.0 \pm 0.7$$.

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Research Organization:: Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States)

Sponsoring Organization:: USDOE Office of Science (SC), Nuclear Physics (NP)

Grant/Contract Number:: AC05-06OR23177

OSTI ID:: 1343881

Alternate ID(s):: OSTI ID: 1338658

Report Number(s):: JLAB-THY-16-2360; DOE/OR/23177-3959; arXiv:1610.03494; PRLTAO; TRN: US1701022

Journal Information:: Physical Review Letters, Vol. 118, Issue 2; ISSN 0031-9007

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

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Cited by: 39 works

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Isospin splittings in the decuplet baryon spectrum from dynamical QCD + QED Horsley, R.; Koumi, Z.; Nakamura, Y. Journal of Physics G: Nuclear and Particle Physics, Vol. 46, Issue 11 https://doi.org/10.1088/1361-6471/ab32c1	journal	September 2019
Dispersion relations for $$\eta '\rightarrow \eta \pi \pi $$ η ′ → η π π Isken, Tobias; Kubis, Bastian; Schneider, Sebastian P. The European Physical Journal C, Vol. 77, Issue 7 https://doi.org/10.1140/epjc/s10052-017-5024-1	journal	July 2017
Constraints on low energy QCD parameters from $$\eta \rightarrow 3\pi $$ η → 3 π and $$\pi \pi $$ π π scattering Kolesár, Marián; Novotný, Jiří The European Physical Journal C, Vol. 78, Issue 3 https://doi.org/10.1140/epjc/s10052-018-5668-5	journal	March 2018
Khuri–Treiman equations for $$\pi \pi $$ π π scattering Albaladejo, M.; Sherrill, N.; Fernández-Ramírez, C. The European Physical Journal C, Vol. 78, Issue 7 https://doi.org/10.1140/epjc/s10052-018-6045-0	journal	July 2018
Dispersive analysis of $$\eta \rightarrow 3 \pi $$ η → 3 π Colangelo, Gilberto; Lanz, Stefan; Leutwyler, Heinrich The European Physical Journal C, Vol. 78, Issue 11 https://doi.org/10.1140/epjc/s10052-018-6377-9	journal	November 2018
Solving integral equations in $$\eta \rightarrow 3\pi $$ η → 3 π Gasser, Jürg; Rusetsky, Akaki The European Physical Journal C, Vol. 78, Issue 11 https://doi.org/10.1140/epjc/s10052-018-6378-8	journal	November 2018
Theoretical analysis of the γγ ^(*) → π ⁰ η process Deineka, Oleksandra; Danilkin, Igor; Vanderhaeghen, Marc EPJ Web of Conferences, Vol. 199 https://doi.org/10.1051/epjconf/201919902005	journal	January 2019
Isospin splittings in the decuplet baryon spectrum from dynamical QCD+QED Horsley, Roger; Koumi, Zachary; Nakamura, Yoshifumi Deutsches Elektronen-Synchrotron, DESY, Hamburg https://doi.org/10.3204/pubdb-2019-03249	text	January 2019
Isospin splittings in the decuplet baryon spectrum from dynamical QCD+QED Horsley, R.; Koumi, Z.; Nakamura, Y. arXiv https://doi.org/10.48550/arxiv.1904.02304	text	January 2019

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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 ]

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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 $Q$ ]