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arXiv · 2610.13101

Determination of $U$-spin breaking parameters with an amplitude analysis of the decay $D^{0}\to K_{\text{S},\text{L}}^{0}π^{+}π^{-}$

BESIII Collaboration·M. Ablikim·M. N. Achasov·P. Adlarson·X. C. Ai·C. S. Akondi·R. Aliberti·A. Amoroso·L. P. An·Q. An·M. S. Anderson·Y. Bai·O. Bakina·H. R. Bao·X. L. Bao·M. Barbagiovanni·V. Batozskaya·K. Begzsuren·N. Berger·M. Berlowski·M. B. Bertani·D. Bettoni·F. Bianchi·E. Bianco·A. Bortone·I. Boyko·R. A. Briere·A. Brueggemann·D. Cabiati·H. Cai·M. H. Cai·X. Cai·A. Calcaterra·G. F. Cao·N. Cao·X. Cao·S. A. Cetin·X. Y. Chai·J. F. Chang·T. T. Chang·G. R. Che·Y. Z. Che·C. H. Chen·Chao Chen·G. Chen·H. S. Chen·H. Y. Chen·J. D. Chen·M. L. Chen·S. J. Chen·S. M. Chen·T. Chen·W. Chen·X. R. Chen·X. T. Chen·X. Y. Chen·Y. B. Chen·Y. Q. Chen·Z. K. Chen·J. Cheng·L. N. Cheng·S. K. Choi·X. Chu·G. Cibinetto·F. Cossio·J. Cottee-Meldrum·H. L. Dai·J. P. Dai·X. C. Dai·A. Dbeyssi·R. E. de Boer·D. Dedovich·Z. Y. Deng·A. Denig·I. Denisenko·M. Destefanis·F. De Mori·E. Di Fiore·X. X. Ding·Y. Ding·J. Dong·L. Y. Dong·M. Y. Dong·Z. J. Dong·M. C. Du·S. X. Du·Shaoxu Du·X. L. Du·Y. Q. Du·C. D. Duan·Z. H. Duan·P. Egorov·G. F. Fan·K. X. Fan·Y. H. Fan·Z. F. Fan·J. Fang·Jin Fang·S. S. Fang·W. X. Fang
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Abstract

We perform a simultaneous amplitude analysis of the decays $D^0 \to K_{\text{S}}^{0}π^{+}π^{-}$ and $D^0 \to K_{\text{L}}^{0}π^{+}π^{-}$ using an $e^+e^-$ collision data sample, corresponding to an integrated luminosity of $20.3\,\text{fb}^{-1}$, collected at the centre-of-mass energy of $3.773\,\text{GeV}$ with the BESIII detector. This study, based on a significantly larger dataset than that used in previous work, presents an updated measurement of the complex $U$-spin breaking parameters ($\hatρ$) associated with various $CP$ eigenstate resonant modes mediating the three-body decays. The magnitudes of the $\hatρ$ parameters range from $0.62$ to $4.45$, indicating substantial $U$-spin symmetry breaking. We also report the resonant fit fraction and obtain a model prediction for the average strong-phase parameters over regions of phase space for both decay modes.

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BESIII Collaboration, M. Ablikim, M. N. Achasov, P. Adlarson, X. C. Ai, C. S. Akondi, R. Aliberti, A. Amoroso, L. P. An, Q. An, M. S. Anderson, Y. Bai, O. Bakina, H. R. Bao, X. L. Bao, M. Barbagiovanni, V. Batozskaya, K. Begzsuren, N. Berger, M. Berlowski, M. B. Bertani, D. Bettoni, F. Bianchi, E. Bianco, A. Bortone, I. Boyko, R. A. Briere, A. Brueggemann, D. Cabiati, H. Cai, M. H. Cai, X. Cai, A. Calcaterra, G. F. Cao, N. Cao, X. Cao, S. A. Cetin, X. Y. Chai, J. F. Chang, T. T. Chang, G. R. Che, Y. Z. Che, C. H. Chen, Chao Chen, G. Chen, H. S. Chen, H. Y. Chen, J. D. Chen, M. L. Chen, S. J. Chen, S. M. Chen, T. Chen, W. Chen, X. R. Chen, X. T. Chen, X. Y. Chen, Y. B. Chen, Y. Q. Chen, Z. K. Chen, J. Cheng, L. N. Cheng, S. K. Choi, X. Chu, G. Cibinetto, F. Cossio, J. Cottee-Meldrum, H. L. Dai, J. P. Dai, X. C. Dai, A. Dbeyssi, R. E. de Boer, D. Dedovich, Z. Y. Deng, A. Denig, I. Denisenko, M. Destefanis, F. De Mori, E. Di Fiore, X. X. Ding, Y. Ding, J. Dong, L. Y. Dong, M. Y. Dong, Z. J. Dong, M. C. Du, S. X. Du, Shaoxu Du, X. L. Du, Y. Q. Du, C. D. Duan, Z. H. Duan, P. Egorov, G. F. Fan, K. X. Fan, Y. H. Fan, Z. F. Fan, J. Fang, Jin Fang, S. S. Fang, W. X. Fang. 2026-10-09. Determination of $U$-spin breaking parameters with an amplitude analysis of the decay $D^{0}\to K_{\text{S},\text{L}}^{0}π^{+}π^{-}$. https://arxiv.org/abs/2610.13101

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