γ from B D(Kπ)K and B D(KX)K, X=3π or ππ 0

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1 fom and X, X= o 0 Jim Libby, Andew Powell and Guy Wilkinon Univeity of Oxfod 8th Januay 007 Gamma meeting 1

2 Outline The AS technique to meaue Uing o 0 : intoducing the coheence facto Meauing the coheence facto at CLEOc Statu of the and 0 coheence analyi Concluion and plan 8th Januay 007 Gamma meeting

3 Intoduction ± ± decay involve bc and bu tanition Stong phae diffeence 0 A = A * V u A 0 = A e i V cb V ub * V c Ratio of abolute amplitude of colou/cm uppeed to favoued ~0.1 Acce via intefeence if 0 and 0 decay to the ame final tate Thee meauement ae theoetically clean No penguin CM tandad candle laget coection i ub-degee fom -mixing Numbe of tategie to tudy uch decay 8th Januay 007 Gamma meeting

4 8th Januay 007 Gamma meeting 4 Look at CS and CF decay of to obtain ate that have enhanced intefeence tem Unknown : ~0.1,,,, N, N hh =0.06 well meaued With knowledge of the elevant efficiencie and R, the nomaliation contant N, N hh can be elated to one anothe Ovecontained: 6 obevable and 5 unknown Impotant containt fom CLEOcσco =0.10. Cuently eviing LHCb enitivity numbe co 1 co 1 co, co 1, co, co 1 h h h h AS method h= o

5 8th Januay 007 Gamma meeting 5 Fou-body AS can alo be ued fo AS tyle analyi Howeve, need to account fo the eonant ubtuctue in made up of *ρ, a 1 160,., in pinciple each point in the phae pace ha a diffeent tong phae aociated with it - and 4 body alitz plot analye exploit thi vey fact to extact fom amplitude fit Atwood and Soni hep-ph/ how how to modify the uual AS equation fo thi cae Intoduce coheence paamete R which dilute intefeence tem enitive to R ange fom 1=coheent dominated by a ingle mode to 0=incoheent eveal ignificant component Can lice and dice phae pace to find mot coheent egion co R = d A d A d e A A e R i i

6 etemining the coheence facto Aume Meauement of the ate of veu diffeent tag at CLEO-c allow diect acce to R and 1. Nomaliation fom CF v. and v.. CP eigentate: : CP± =. v. : : 4. v. : [ ] 1 m R CF CP co [ 1 R ] CF CS = R CF CS : 1 co o fom TQCA. Cuent value 1.6 lead to moe complex intepetation which i unde invetigation. 8th Januay 007 Gamma meeting 6

7 tatu Feezing analyi a peented by Andew at Januay PTA Will add data 46 to include all ψ770 data 817 pb -1 Pepaing CX which we hope to be eady fo ciculation in ~1 week CXFeb plenay poviional eult at Lake Louie Alo, included will be 0 next lide 8th Januay 007 Gamma meeting 7

8 0 election Anothe AS mode but multiple intemediate tate o need to calculate coheence facto Fit eult peented in ec PTA Stategy identical to Howeve, educed et of mode fo peliminay eult: 0 v { 0,,,, S 0 } Pincipal tep: etemine efficiencie fom dedicated ignal MC etemine peaking backgound fom data1-, xlumi geneic Flat backgound fom ideband ubtaction 0 efficiency coected fo data/mc diffeence following had peciption 0.961±0.00 pe 0 8th Januay 007 Gamma meeting 8

9 Peliminay eult: dataet 1-, 5-7 and 4-46 Tag Efficiency Peaking bkg 817 pb -1 yield Eo 1 t MC tat and nd 0 co. Union Jack ubtacted only 0 RS 1.1±0.±0.5%.1± ±8.8 0 WS 1.1±0.±0.5% 0.9± ±4.0 RS.±0.±0.4% ±84.1 WS.±0.±0.4% ± ±0.±0.4% ±7..9±0.±0.5% 0 11.±17.7 S 0 9.8±0.1±0.8%.1± ±9. 8th Januay 007 Gamma meeting 9

10 Concluion and plan eyond peliminay eult and befoe publication: Include L Poibly exploe one miing econtuction Full ytematic tudie Fit meauement of coheence facto theefoe we will aim fo PRL eyond the fit pape: Include SL tag inned analyi of phae-pace guided by amplitude analyi 8th Januay 007 Gamma meeting 10

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