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Abstract |
This work studies the % -* 3 pi decay and the % -* 2T0y* transition form factor, utilizing the KhuriTreiman formalism to account for analyticity, crossing, and unitarity. Using once-subtracted dispersion relations, we perform a simultaneous fit to the % -* 3 pi Dalitz plot distribution and the % -*2T0y* measurements from the KLOE collaboration, finding good agreement with these experimental data. These results reaffirm the applicability of the Khuri-Treiman approach in the analysis of three-body decays. An interesting result is that the subtraction constant appearing in the equations is similar to a sum rule expectation, in contrast to analogous studies of w -* 3 pi decays and w -* 2T0y*, which shows significant deviations. Our results also provide a reasonable description of the trend of the transition form factor data from BABAR in the e+e- -* %2T0 scattering region. These intriguing theoretical differences between the decays of % and w could encourage further experimental measurements to assess the discrepancies and refine the theoretical predictions. |
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Address |
[Lorenzo, A. G.; Albaladejo, M.; Szczepaniak, A. P.] CSIC, Inst Fis Corpuscular, Inst Invest Paterna, Ctr Mixto Univ Valencia, E-46071 Valencia, Spain; [Hammoud, N.; Mathieu, V.] Univ Barcelona, Dept Fis Quant & Astrofis FQA, E-08028 Barcelona, Spain; [Hammoud, N.; Mathieu, V.] Univ Barcelona, Inst Ciencies Cosmos, E-08028 Barcelona, Spain; [Szczepaniak, A. P.] Thomas Jefferson Natl Accelerator Facil, Theory Ctr, Newport News, VA 23606 USA; [Pilloni, A.] Univ Messina, Sci Matemat & Informat, Sci Fis & Sci Terra, I-98166 Messina, Italy; [Pilloni, A.] INFN, Sez Catania, I-95123 Catania, Italy; [Winney, D.] Univ Bonn, Helmholtz Inst Strahlen & Kernphys, D-53115 Bonn, Germany; [Winney, D.] Univ Nacl Autonoma Mexico, Inst Ciencias Nucl, Ciudad De Mexico 04510, Mexico; [Szczepaniak, A. P.] Indiana Univ, Dept Phys, Bloomington, IN 47405 USA; [Szczepaniak, A. P.] Indiana Univ, Ctr Explorat Energy & Matter, Bloomington, IN 47403 USA, Email: miguel.albaladejo@ific.uv.es; |
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