η → 3 π : Study of the Dalitz Plot and Extraction of the Quark Mass Ratio Q

Colangelo, Gilberto; Lanz, Stefan; Leutwyler, Heinrich; Passemar, Emilie (2017). η → 3 π : Study of the Dalitz Plot and Extraction of the Quark Mass Ratio Q. Physical review letters, 118(2), 022001. American Physical Society 10.1103/PhysRevLett.118.022001

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The η → 3π amplitude is sensitive to the quark mass difference mu − md and offers a unique way to determine the quark mass ratio Q2 ≡ (m2s − m2ud)/(m2d − m2u) from experiment. We calculate the amplitude dispersively and fit the KLOE Collaboration 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. Our representation of the transition amplitude implies Q=22.0±0.7.

Item Type:

Journal Article (Original Article)

Division/Institute:

10 Strategic Research Centers > Albert Einstein Center for Fundamental Physics (AEC)
08 Faculty of Science > Institute of Theoretical Physics

UniBE Contributor:

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

Subjects:

500 Science > 530 Physics

ISSN:

0031-9007

Publisher:

American Physical Society

Language:

English

Submitter:

Esther Fiechter

Date Deposited:

19 Jul 2017 16:23

Last Modified:

19 Jul 2017 16:23

Publisher DOI:

10.1103/PhysRevLett.118.022001

ArXiv ID:

1610.03494

BORIS DOI:

10.7892/boris.95451

URI:

https://boris.unibe.ch/id/eprint/95451

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