Study of the $B^0\to ρ(770)^0 K^*(892)^0$ decay with an amplitude analysis of $B^0\to (π^+π^-) (K^+π^-)$ decays
Creators: name: LHCb Collaboration
name: Aaij, R.
name: Beteta, C. Abellán
name: Adeva, B.
name: Adinolfi, M.
name: Aidala, C. A.
name: Ajaltouni, Z.
name: Akar, S.
name: Albicocco, P.
name: Albrecht, J.
name: Alessio, F.
name: Alexander, M.
name: Albero, A. Alfonso
name: Alkhazov, G.
name: Cartelle, P. Alvarez
name: Alves, A. A.
name: Amato, S.
name: Amerio, S.
name: Amhis, Y.
name: An, L.
name: Anderlini, L.
name: Andreassi, G.
name: Andreotti, M.
name: Andrews, J. E.
name: Archilli, F.
name: d'Argent, P.
name: Romeu, J. Arnau
name: Artamonov, A.
name: Artuso, M.
name: Arzymatov, K.
name: Aslanides, E.
name: Atzeni, M.
name: Audurier, B.
name: Bachmann, S.
name: Back, J. J.
name: Baker, S.
name: Balagura, V.
name: Baldini, W.
name: Baranov, A.
name: Barlow, R. J.
name: Barrand, G. C.
name: Barsuk, S.
name: Barter, W.
name: Bartolini, M.
name: Baryshnikov, F.
name: Batozskaya, V.
name: Batsukh, B.
name: Battig, A.
name: Battista, V.
name: Bay, A.
name: Beddow, J.
name: Bedeschi, F.
name: Bediaga, I.
name: Beiter, A.
name: Bel, L. J.
name: Belin, S.
name: Beliy, N.
name: Bellee, V.
name: Belloli, N.
name: Belous, K.
name: Belyaev, I.
name: Ben-Haim, E.
name: Bencivenni, G.
name: Benson, S.
name: Beranek, S.
name: Berezhnoy, A.
name: Bernet, R.
name: Berninghoff, D.
name: Bertholet, E.
name: Bertolin, A.
name: Betancourt, C.
name: Betti, F.
name: Bettler, M. O.
name: van Beuzekom, M.
name: Bezshyiko, Ia.
name: Bhasin, S.
name: Bhom, J.
name: Bifani, S.
name: Billoir, P.
name: Birnkraut, A.
name: Bizzeti, A.
name: Bjørn, M.
name: Blago, M. P.
name: Blake, T.
name: Blanc, F.
name: Blusk, S.
name: Bobulska, D.
name: Bocci, V.
name: Garcia, O. Boente
name: Boettcher, T.
name: Bondar, A.
name: Bondar, N.
name: Borghi, S.
name: Borisyak, M.
name: Borsato, M.
name: Bossu, F.
name: Boubdir, M.
name: Bowcock, T. J. V.
name: Bozzi, C.
name: Braun, S.
name: Brodski, M.
name: Brodzicka, J.
name: Gonzalo, A. Brossa
name: Brundu, D.
name: Buchanan, E.
name: Buonaura, A.
name: Burr, C.
name: Bursche, A.
name: Buytaert, J.
name: Byczynski, W.
name: Cadeddu, S.
name: Cai, H.
name: Calabrese, R.
name: Calladine, R.
name: Calvi, M.
name: Gomez, M. Calvo
name: Camboni, A.
name: Campana, P.
name: Perez, D. H. Campora
name: Capriotti, L.
name: Carbone, A.
name: Carboni, G.
name: Cardinale, R.
name: Cardini, A.
name: Carniti, P.
name: Akiba, K. Carvalho
name: Casse, G.
name: Cassina, L.
name: Cattaneo, M.
name: Cavallero, G.
name: Cenci, R.
name: Chamont, D.
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name: Charles, M.
name: Charpentier, Ph.
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name: Chefdeville, M.
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name: D'Ambrosio, C.
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name: Witek, M.
name: Wormser, G.
name: Wotton, S. A.
name: Wyllie, K.
name: Xiao, D.
name: Xie, Y.
name: Xu, A.
name: Xu, M.
name: Xu, Q.
name: Xu, Z.
name: Xu, Z.
name: Yang, Z.
name: Yang, Z.
name: Yao, Y.
name: Yeomans, L. E.
name: Yin, H.
name: Yu, J.
name: Yuan, X.
name: Yushchenko, O.
name: Zarebski, K. A.
name: Zavertyaev, M.
name: Zhang, D.
name: Zhang, L.
name: Zhang, W. C.
name: Zhang, Y.
name: Zhelezov, A.
name: Zheng, Y.
name: Zhu, X.
name: Zhukov, V.
name: Zonneveld, J. B.
name: Zucchelli, S.
Publisher: name: arXiv
Year: 2018
Subjects: subject: High Energy Physics - Experiment (hep-ex)
subject: FOS: Physical sciences
subject: FOS: Physical sciences

description: An amplitude analysis of ${B^0\to (π^+π^-) (K^+π^-)}$ decays is performed in the two-body invariant mass regions ${300 &lt; m(π^+π^-)&lt;1100}$ MeV/$c^2$, accounting for the $ρ^0$, $ω$, $f_0(500)$, $f_0(980)$ and $f_0(1370)$ resonances, and ${750 &lt; m(K^+π^-)&lt;1200}$ MeV/$c^2$, which is dominated by the $K^{*}(892)^0$ meson. The analysis uses 3 fb$^{-1}$ of proton-proton collision data collected by the LHCb experiment at centre-of-mass energies of 7 and 8 TeV. The $CP$ averages and asymmetries are measured for the magnitudes and phase differences of the contributing amplitudes. The $CP$-averaged longitudinal polarisation fractions of the vector-vector modes are found to be $\tilde{f}^0_{ρK^{*}} = 0.164 \pm 0.015 \pm 0.022$ and $\tilde{f}^0_{ωK^{*}} = 0.68 \pm 0.17 \pm 0.16$, and their $CP$ asymmetries, $\mathcal{A}^0_{ρK^{*}} = -0.62 \pm 0.09 \pm 0.09$ and $\mathcal{A}^0_{ωK^{*}} = -0.13 \pm 0.27 \pm 0.13$, where the first uncertainty is statistical and the second systematic.
description: All figures and tables, along with any supplementary material and additional information, are available at https://lhcbproject.web.cern.ch/lhcbproject/Publications/LHCbProjectPublic/LHCb-PAPER-2018-042.html (LHCb public pages)