: 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 ]
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:
-
- Univ. of Bern, Bern (Switzerland)
- 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 referenced in this record:
Pion and Kaon Electromagnetic Masses in Chiral Perturbation Theory
journal, December 1973
- Langacker, Paul; Pagels, Heinz
- Physical Review D, Vol. 8, Issue 12
Phenomenological Model of Strong and Weak Interactions in Chiral
journal, September 1967
- Cronin, Jeremiah A.
- Physical Review, Vol. 161, Issue 5
Resolution of the η → 3π problem
journal, September 1981
- Roiesnel, C.; N. Truong, Tran.
- Nuclear Physics B, Vol. 187, Issue 2
ππ scattering
journal, June 2001
- Colangelo, G.; Gasser, J.; Leutwyler, H.
- Nuclear Physics B, Vol. 603, Issue 1-2
Dispersive analysis of the decay η → 3π
journal, May 1996
- Anisovich, A. V.; Leutwyler, H.
- Physics Letters B, Vol. 375, Issue 1-4
Predictions for the cusp in decay
journal, February 2009
- Gullström, C. -O.; Kupść, A.; Rusetsky, A.
- Physical Review C, Vol. 79, Issue 2
Rescattering effects in η → 3π decays
journal, February 2011
- Schneider, Sebastian P.; Kubis, Bastian; Ditsche, Christoph
- Journal of High Energy Physics, Vol. 2011, Issue 2
Pion-Pion Scattering and Decay
journal, August 1960
- Khuri, N. N.; Treiman, S. B.
- Physical Review, Vol. 119, Issue 3
Chiral perturbation theory: Expansions in the mass of the strange quark
journal, January 1985
- Gasser, J.; Leutwyler, H.
- Nuclear Physics B, Vol. 250, Issue 1-4
η-X mixing, η→3π and chiral lagrangians
journal, June 1970
- Osborn, H.; Wallace, D. J.
- Nuclear Physics B, Vol. 20, Issue 1
Measurement of the slope parameter for the decay with the Crystal Ball detector at the Mainz Microtron (MAMI-C)
journal, March 2009
- Prakhov, S.; Nefkens, B. M. K.; Aguar-Bartolomé, P.
- Physical Review C, Vol. 79, Issue 3
Up and Down Quark Masses and Corrections to Dashen’s Theorem from Lattice QCD and Quenched QED
journal, August 2016
- Fodor, Z.; Hoelbling, C.; Krieg, S.
- Physical Review Letters, Vol. 117, Issue 8
Measurement of the Dalitz plot distribution
journal, October 2014
- Adlarson, P.; Augustyniak, W.; Bardan, W.
- Physical Review C, Vol. 90, Issue 4
Measurement of the matrix elements for the decays and
journal, July 2015
- Ablikim, M.; Achasov, M. N.; Ai, X. C.
- Physical Review D, Vol. 92, Issue 1
Pion-pion scattering amplitude. III. Improving the analysis with forward dispersion relations and Roy equations
journal, March 2008
- Kamiński, R.; Peláez, J. R.; Ynduráin, F. J.
- Physical Review D, Vol. 77, Issue 5
Analysis and interpretation of new low-energy $\pi\pi$ scattering data
journal, July 2002
- Descotes, S.; Fuchs, N. H.; Girlanda, L.
- The European Physical Journal C, Vol. 24, Issue 3
Final state interactions and Khuri-Treiman equations in,ν → 3π decays
journal, April 1996
- Kambor, J.; Wiesendanger, C.; Wyler, D.
- Nuclear Physics B, Vol. 465, Issue 1-2
η → 3π to one loop
journal, January 1985
- Gasser, J.; Leutwyler, H.
- Nuclear Physics B, Vol. 250, Issue 1-4
Electromagnetic corrections in η→3π decays
journal, February 2009
- Ditsche, Christoph; Kubis, Bastian; Meißner, Ulf-G.
- The European Physical Journal C, Vol. 60, Issue 1
η→3π at two loops in Chiral Perturbation Theory
journal, November 2007
- Bijnens, Johan; Ghorbani, Karim
- Journal of High Energy Physics, Vol. 2007, Issue 11
Precision measurement of the η → π + π − π 0 Dalitz plot distribution with the KLOE detector
journal, May 2016
- Anastasi, A.; Babusci, D.; Bencivenni, G.
- Journal of High Energy Physics, Vol. 2016, Issue 5
Three-body final state interaction in
journal, September 2015
- Guo, Peng; Danilkin, Igor V.; Schott, Diane
- Physical Review D, Vol. 92, Issue 5
Current algebra and the decay η → 3 π
journal, November 1966
- Sutherland, D. G.
- Physics Letters, Vol. 23, Issue 6
Analytical dispersive construction of amplitude: First order in isospin breaking
journal, December 2011
- Kampf, Karol; Knecht, Marc; Novotný, Jiří
- Physical Review D, Vol. 84, Issue 11
A dispersive treatment of $$K_{\ell 4}$$ K ℓ 4 decays
journal, April 2015
- Colangelo, Gilberto; Passemar, Emilie; Stoffer, Peter
- The European Physical Journal C, Vol. 75, Issue 4
Works referencing / citing this record:
Khuri–Treiman equations for $$\pi \pi $$ π π scattering
journal, July 2018
- Albaladejo, M.; Sherrill, N.; Fernández-Ramírez, C.
- The European Physical Journal C, Vol. 78, Issue 7
Constraints on low energy QCD parameters from $$\eta \rightarrow 3\pi $$ η → 3 π and $$\pi \pi $$ π π scattering
journal, March 2018
- Kolesár, Marián; Novotný, Jiří
- The European Physical Journal C, Vol. 78, Issue 3
Khuri–Treiman equations for $$\pi \pi $$ π π scattering
journal, July 2018
- Albaladejo, M.; Sherrill, N.; Fernández-Ramírez, C.
- The European Physical Journal C, Vol. 78, Issue 7
Isospin splittings in the decuplet baryon spectrum from dynamical QCD + QED
journal, September 2019
- Horsley, R.; Koumi, Z.; Nakamura, Y.
- Journal of Physics G: Nuclear and Particle Physics, Vol. 46, Issue 11
Theoretical analysis of the process
journal, December 2017
- Danilkin, Igor; Deineka, Oleksandra; Vanderhaeghen, Marc
- Physical Review D, Vol. 96, Issue 11
Pole position of the from -decay
journal, November 2018
- Mikhasenko, M.; Pilloni, A.; Jackura, A.
- Physical Review D, Vol. 98, Issue 9
and mesons with connection to anomalous glue
journal, February 2019
- Bass, Steven D.; Moskal, Pawel
- Reviews of Modern Physics, Vol. 91, Issue 1
Dispersion relations for $$\eta '\rightarrow \eta \pi \pi $$ η ′ → η π π
journal, July 2017
- Isken, Tobias; Kubis, Bastian; Schneider, Sebastian P.
- The European Physical Journal C, Vol. 77, Issue 7
Dispersive analysis of $$\eta \rightarrow 3 \pi $$ η → 3 π
journal, November 2018
- Colangelo, Gilberto; Lanz, Stefan; Leutwyler, Heinrich
- The European Physical Journal C, Vol. 78, Issue 11
Solving integral equations in $$\eta \rightarrow 3\pi $$ η → 3 π
journal, November 2018
- Gasser, Jürg; Rusetsky, Akaki
- The European Physical Journal C, Vol. 78, Issue 11