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(Reference retrieved automatically from Web of Science through information on FAPESP grant and its corresponding number as mentioned in the publication by the authors.)

Parametrizations of three-body hadronic B- and D-decay amplitudes in terms of analytic and unitary meson-meson form factors

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Boito, D. [1] ; Dedonder, J. -P. [2, 3] ; El-Bennich, B. [4] ; Escribano, R. [5, 6] ; Kaminski, R. [7] ; Lesniak, L. [7] ; Loiseau, B. [2, 3]
Total Authors: 7
[1] Univ Sao Paulo, Inst Fis Sao Carlos, CP 369, BR-13560970 Sao Carlos, SP - Brazil
[2] Univ Paris Diderot, Univ Pierre & Marie Curie, Sorbonne Univ, Sorbonne Paris Cite, 4 Pl Jussieu, F-75252 Paris - France
[3] CNRS, IN2P3, UMR 7585, Lab Phys Nucl & Hautes Energies, 4 Pl Jussieu, F-75252 Paris - France
[4] Univ Cruzeiro Sul, Lab Fis Teor & Computac, Rua Galvao Bueno 868, BR-01506000 Sao Paulo - Brazil
[5] Univ Autonoma Barcelona, Dept Fis, Grp Fis Teor, E-08193 Bellaterra, Barcelona - Spain
[6] Univ Autonoma Barcelona, IFAE, E-08193 Bellaterra, Barcelona - Spain
[7] Polish Acad Sci, Div Theoret Phys, Henryk Niewodniczanski Inst Nucl Phys, PL-31342 Krakow - Poland
Total Affiliations: 7
Document type: Journal article
Source: Physical Review D; v. 96, n. 11 DEC 12 2017.
Web of Science Citations: 6

We introduce parametrizations of hadronic three-body B and D weak decay amplitudes that can be readily implemented in experimental analyses and are a sound alternative to the simplistic and widely used sum of Breit-Wigner type amplitudes, also known as the isobar model. These parametrizations can be particularly useful in the interpretation of CP asymmetries in the Dalitz plots. They are derived from previous calculations based on a quasi-two-body factorization approach in which two-body hadronic final-state interactions are fully taken into account in terms of unitary S-and P-wave pi pi, pi K, and K (K) over bar form factors. These form factors can be determined rigorously, fulfilling fundamental properties of quantum field-theory amplitudes such as analyticity and unitarity, and are in agreement with the low-energy behavior predicted by effective theories of QCD. They are derived from sets of coupled-channel equations using T-matrix elements constrained by experimental meson-meson phase shifts and inelasticities, chiral symmetry, and asymptotic QCD. We provide explicit amplitude expressions for the decays B-+/- -> pi(+) pi(-) pi(+/-), B -> K pi(+) pi(-) , B-+/- -> K+ K- K-+/-, D+ -> pi(-) pi(+) pi(+), D+ -> K- pi(+) pi(+), and D-0 -> K-S(0)pi(+)pi(-), for which we have shown in previous studies that this approach is phenomenologically successful; in addition, we provide expressions for the D-0 -> (KSK+K-)-K-0 decay. Other three-body hadronic channels can be parametrized likewise. (AU)

FAPESP's process: 15/20689-9 - Precise determination of fundamental QCD parameters
Grantee:Diogo Rodrigues Boito
Support type: Research Grants - Young Investigators Grants
FAPESP's process: 16/03154-7 - Hadrons in a nonperturbative continuum approach to QCD beyond rainbows and ladders
Grantee:Bruno Omar El-Bennich
Support type: Regular Research Grants