Measurement of the phase difference between short- and long-distance amplitudes in the [Formula: see text] decay.

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Dean, D Decamp, M Deckenhoff, L Del Buono, M Demmer, A Dendek, D Derkach, O Deschamps, F Dettori, B Dey, A Di Canto, H Dijkstra, F Dordei, M Dorigo, A Dosil Suárez, A Dovbnya, K Dreimanis, L Dufour, G Dujany, K Dungs, P Durante, R Dzhelyadin, A Dziurda, A Dzyuba, N Déléage, S Easo, M Ebert, U Egede, V Egorychev, S Eidelman, S Eisenhardt, U Eitschberger, R Ekelhof, L Eklund, S Ely, S Esen, H M Evans, T Evans, A Falabella, N Farley, S Farry, R Fay, D Fazzini, D Ferguson, A Fernandez Prieto, F Ferrari, F Ferreira Rodrigues, M Ferro-Luzzi, S Filippov, R A Fini, M Fiore, M Fiorini, M Firlej, C Fitzpatrick, T Fiutowski, F Fleuret, K Fohl, M Fontana, F Fontanelli, D C Forshaw, R Forty, V Franco Lima, M Frank, C Frei, J Fu, W Funk, E Furfaro, C Färber,A Gallas Torreira,D Galli,S Gallorini,S Gambetta, M Gandelman,P Gandini,Y Gao,L M Garcia Martin,J García Pardiñas,J Garra Tico,L Garrido, P J Garsed,D Gascon,C Gaspar, L Gavardi,G Gazzoni, D Gerick,E Gersabeck,M Gersabeck, T Gershon,Ph Ghez,S Gianì, V Gibson, O G Girard, L Giubega, K Gizdov,V V Gligorov, D Golubkov, A Golutvin,A Gomes, I V Gorelov,C Gotti,R Graciani Diaz,L A Granado Cardoso,E Graugés,E Graverini, G Graziani,A Grecu,P Griffith, L Grillo,B R Gruberg Cazon, O Grünberg, E Gushchin,Yu Guz,T Gys,C Göbel,T Hadavizadeh, C Hadjivasiliou, G Haefeli, C Haen, S C Haines, S Hall,B Hamilton,X Han, S Hansmann-Menzemer, N Harnew, S T Harnew,J Harrison, M Hatch, J He, T Head, A Heister,K Hennessy, P Henrard,L Henry,E van Herwijnen,M Heß,A Hicheur, D Hill, C Hombach, H Hopchev,W Hulsbergen, T Humair, M Hushchyn,D Hutchcroft,M Idzik,P Ilten, R Jacobsson,A Jaeger, J Jalocha,E Jans,A Jawahery,F Jiang,M John, D Johnson,C R Jones, C Joram, B Jost,N Jurik,S Kandybei, M Karacson, J M Kariuki,S Karodia, M Kecke,M Kelsey,M Kenzie,T Ketel, E Khairullin, B Khanji, C Khurewathanakul,T Kirn,S Klaver, K Klimaszewski,S Koliiev, M Kolpin,I Komarov, R F Koopman,P Koppenburg, A Kosmyntseva, A Kozachuk, M Kozeiha, L Kravchuk, K Kreplin, M 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The European physical journal. C, Particles and fields(2017)

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摘要
A measurement of the phase difference between the short- and long-distance contributions to the [Formula: see text] decay is performed by analysing the dimuon mass distribution. The analysis is based on pp collision data corresponding to an integrated luminosity of 3[Formula: see text] collected by the LHCb experiment in 2011 and 2012. The long-distance contribution to the [Formula: see text] decay is modelled as a sum of relativistic Breit-Wigner amplitudes representing different vector meson resonances decaying to muon pairs, each with their own magnitude and phase. The measured phases of the [Formula: see text] and [Formula: see text] resonances are such that the interference with the short-distance component in dimuon mass regions far from their pole masses is small. In addition, constraints are placed on the Wilson coefficients, [Formula: see text] and [Formula: see text], and the branching fraction of the short-distance component is measured.
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