dalitz project poster

1
RESEARCH POSTER PRESENTATION DESIGN © 2012 www.PosterPresentations.com 2 ) 2 + (GeV/c 2 M 0.5 1 1.5 2 2.5 3 2 ) 2 - (GeV/c 2 M 0.5 1 1.5 2 2.5 3 Entries 20253 Dalitz Plot (vs. flavor tags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`J" @")%,": )/'+- -." ,)-+%" '& $.)*" *$)0" 1, ?","%)@ -.%""4/':E :"0)E*F .'G -' 0)@0+@)-" "@"(",-* '& ) :"0)E ()-%1Q :"$",:1,? ', -." *$1, '& -." 0'($',",- $)%C0@"*F .'G -' -%")- *()@@ /)0A?%'+,:* ),: .'G -' +*" B',-" <)%@' *1(+@)-": :)-) -' "Q)(1," %"0',*-%+0C', "D01",0EF ),: .'G -' "a"0CJ"@E H- &+,0C',* -' :)-) 1, .1?.@E 0'%%"@)-": ,',@1,")% *$)0"* G1-. @)%?" ,+(/"%* '& $)%)("-"%*= S1- b M c2WSd RNRecRYYf g R=MR S1T": /)0A?%'+,: *+/-%)0-": 2)@1-K ;@'- G1-. "D01",0E4G"1?.-": -."'%"C0)@ $%":10C',*F @")J1,? )($@1-+:"* ),: $.)*"* &%"" -' J)%E ;%":10- )($@1-+:" )- )@@ $'1,-* 1, $.)*" *$)0" <)@0+@)C', 1* :"$",:",- ', *$1, '& 1,-"%(":1)-" $)%C0@" "=?= )($@1-+:" &'% ) *0)@)% %"*',),0" 1* *1($@"*-d !."%" S 2 1* ) &'%( &)0-'% 0'%%"*$',:1,? -' -." 2 3 ),: S % 1* ) &'%( &)0-'% 0'%%"*$',:1,? -' -." %"*',),0"= S'% .1?."% *$1,* -."*" &'%( &)0-'%* )%" &+,0C',* '& $.)*" *$)0"= U'-)@ )($@1-+:" 1* -." 0'."%",- *+( '& )@@ 0'($',",- )($@1-+:"* G1-. $.)*"* *L+)%":d 9,-"%&"%",0" /"-G"", 0'($',",-* 1* :+" -' -." $.)*" -"%(* 1, -." *+(= W+% H- +*"* R^ %"*',),- -"%(* G1-. '," ,',%"*',),- 0'($',",-d h","%)@ -.%"" /':E :"0)E .)* -G' :"?%""* '& &%"":'( 2)@1-K i)%1)/@"*d B M 1_ g j$ 1 ]$ _ k M >*" 2)@1-K J)%1)/@"* -' :"$10- $.)*" *$)0"d *.'G %"*',),- *+/*-%+0-+%" <',*-),- )($@1-+:" ?1J"* 0',*-),- :",*1-E )0%'** -." $@'- i)%1)C',* )%" 6%"1-4!1?,"% :1*-%1/+C',* '& 0'($',",- :"0)E 0.),,"@* (+@C$@1": /E *$1, *-%+0-+%" &*)&7,#(*)# 2)@1-K X,)@E*1* '& -." 2"0)E 2 3 [ 8 3 \ ] \ 4 +!7($; 87*$ 5($ "!&/:%*,)+ #,"$%!&$(*) 57!<*% $!::.+ +!7($; 87*$ 57!<*% $!:# $-.*%6 R <)%,"?1" B"@@', >,1J"%*1-EF ;1T*/+%?.F ;X M >,1J"%*1-E '& O'0."*-"%F O'0."*-"%F Zl Z10A 7(1,1K"% R ),: ;%'&= O'E 6%1"%" R G1-. )**1*-),0" &%'( W,+% X@/)E%)A R F 2%= <.+,@"1 V1+ R F ),: 2), X(/%'*" M ) 2 tag1 mBC (GeV/c 1.83 1.84 1.85 1.86 1.87 1.88 1.89 ) 2 tag2 mBC (GeV/c 1.83 1.84 1.85 1.86 1.87 1.88 1.89 tag1 vs. tag2 mass flavor - ! + ! 0 S K Entries 23820 (flavor tags) doubletag mass - ! + ! 0 S K $=> 4?@A B ?C / # 0 1 2 1 3 DE>F=G AHAFID B ?C / # 0 1 2 1 3 J=KL>M?NF@ AHAFID [ 4 \ ] j;10-+%": 6"@'Gk fe^^ R3m [ 4 \ ] \ 3 ^eYR YMR [ 4 \ ] \ ] \ 4 NYYf YeM ) 2 mBC (GeV/c 1.83 1.84 1.85 1.86 1.87 1.88 1.89 E (GeV) ! -0.1 -0.08 -0.06 -0.04 -0.02 0 0.02 0.04 0.06 0.08 0.1 vs flavor tags - " + " 0 S K E (GeV) ! -0.1 -0.08 -0.06 -0.04 -0.02 0 0.02 0.04 0.06 0.08 0.1 0 500 1000 1500 2000 2500 3000 E ! - " + " 0 S K ) 2 mBC (GeV/c 1.83 1.84 1.85 1.86 1.87 1.88 1.89 0 1000 2000 3000 4000 5000 6000 7000 mass - " + " 0 S K ) 2 mBC (GeV/c 1.83 1.84 1.85 1.86 1.87 1.88 1.89 E (GeV) ! -0.1 -0.08 -0.06 -0.04 -0.02 0 0.02 0.04 0.06 0.08 0.1 0 200 400 600 800 1000 vs flavor tags - " + " 0 S K ) 2 mBC (GeV/c 1.83 1.84 1.85 1.86 1.87 1.88 1.89 E (GeV) ! -0.1 -0.08 -0.06 -0.04 -0.02 0 0.02 0.04 0.06 0.08 0.1 kpi_overview Entries 132172 + " - K E (GeV) ! -0.1 -0.08 -0.06 -0.04 -0.02 0 0.02 0.04 0.06 0.08 0.1 0 1000 2000 3000 4000 5000 6000 7000 8000 9000 kpi_deltaE Entries 99592 E ! + " - K ) 2 mBC (GeV/c 1.83 1.84 1.85 1.86 1.87 1.88 1.89 0 2000 4000 6000 8000 10000 12000 14000 16000 18000 20000 22000 kpi_mBC Entries 95677 mass + " - K ) 2 mBC (GeV/c 1.83 1.84 1.85 1.86 1.87 1.88 1.89 E (GeV) ! -0.1 -0.08 -0.06 -0.04 -0.02 0 0.02 0.04 0.06 0.08 0.1 0 500 1000 1500 2000 2500 3000 kpi_overview Entries 132172 + " - K 2 ) 2 (GeV/c + ! 0 S K 2 M 0.5 1 1.5 2 2.5 3 2 ) 2 (GeV/c - ! 0 S K 2 M 0.5 1 1.5 2 2.5 3 Background Events - ! + ! 0 S K 2 ) 2 (GeV/c - ! 0 S K 2 M 0.5 1 1.5 2 2.5 3 0 2 4 6 8 10 12 14 16 18 20 Tracks 1-3 projection 2 ) 2 (GeV/c + ! 0 S K 2 M 0.5 1 1.5 2 2.5 3 0 5 10 15 20 25 30 35 Tracks 1-2 projection 2 ) 2 (GeV/c - ! + ! 2 M 0 0.5 1 1.5 2 2.5 3 0 2 4 6 8 10 12 14 16 18 20 22 24 Tracks 2-3 projection 2 ) 2 (GeV/c + ! 0 S K 2 M 0.5 1 1.5 2 2.5 3 2 ) 2 (GeV/c - ! 0 S K 2 M 0.5 1 1.5 2 2.5 3 0 0.02 0.04 0.06 0.08 0.1 0.12 0.14 Data Fit Efficiency Calculation (from polynomial fit) 0.5 1 1.5 2 2.5 3 0 1 2 3 4 5 Track 1-3 Projection Efficiency Fit Comparison 0.5 1 1.5 2 2.5 3 0 1 2 3 4 5 Track 1-2 Projection Efficiency Fit Comparison 0 0.5 1 1.5 2 2.5 3 0 1 2 3 4 5 6 7 Track 2-3 Projection Efficiency Fit Comparison -6 -4 -2 0 2 2 ) 2 (GeV/c + ! 0 S K 2 M 0.5 1 1.5 2 2.5 3 2 ) 2 (GeV/c - ! 0 S K 2 M 0.5 1 1.5 2 2.5 3 " Efficiency Function Fit, Signed -5 -4 -3 -2 -1 0 1 2 3 2 ) 2 (GeV/c + ! 0 S K 2 M 0.5 1 1.5 2 2.5 3 2 ) 2 (GeV/c - ! 0 S K 2 M 0.5 1 1.5 2 2.5 3 using final fit " Signed S1,)@ b M c2WSd RePYcRmRP g R=Rf 6)0A?%'+,: "J",-* )%" &%'( %": *1:"/),: /'Q"* X**+(": -' /" I)- 1, /")( 0',*-%)1,": ()** *$)0" ),: 1,:"$",:",- 2 ) 2 (GeV/c + ! 0 S K 2 M 0.5 1 1.5 2 2.5 3 2 ) 2 (GeV/c - ! 0 S K 2 M 0.5 1 1.5 2 2.5 3 2 ) 2 (GeV/c + ! 0 S K 2 M 0.5 1 1.5 2 2.5 3 2 ) 2 (GeV/c - ! 0 S K 2 M 0.5 1 1.5 2 2.5 3 2 ) 2 (GeV/c + ! 0 S K 2 M 0.5 1 1.5 2 2.5 3 2 ) 2 (GeV/c - ! 0 S K 2 M 0.5 1 1.5 2 2.5 3 2 ) 2 (GeV/c + ! 0 S K 2 M 0.5 1 1.5 2 2.5 3 2 ) 2 (GeV/c - ! 0 S K 2 M 0.5 1 1.5 2 2.5 3 2 ) 2 (GeV/c + ! 0 S K 2 M 0.5 1 1.5 2 2.5 3 2 ) 2 (GeV/c - ! 0 S K 2 M 0.5 1 1.5 2 2.5 3 2 ) 2 (GeV/c + ! 0 S K 2 M 0.5 1 1.5 2 2.5 3 2 ) 2 (GeV/c - ! 0 S K 2 M 0.5 1 1.5 2 2.5 3 2 ) 2 (GeV/c + ! 0 S K 2 M 0.5 1 1.5 2 2.5 3 2 ) 2 (GeV/c - ! 0 S K 2 M 0.5 1 1.5 2 2.5 3 2 ) 2 (GeV/c + ! 0 S K 2 M 0.5 1 1.5 2 2.5 3 2 ) 2 (GeV/c - ! 0 S K 2 M 0.5 1 1.5 2 2.5 3 2 ) 2 (GeV/c + ! 0 S K 2 M 0.5 1 1.5 2 2.5 3 2 ) 2 (GeV/c - ! 0 S K 2 M 0.5 1 1.5 2 2.5 3 2 ) 2 (GeV/c + ! 0 S K 2 M 0.5 1 1.5 2 2.5 3 2 ) 2 (GeV/c - ! 0 S K 2 M 0.5 1 1.5 2 2.5 3 2 ) 2 (GeV/c + ! 0 S K 2 M 0.5 1 1.5 2 2.5 3 2 ) 2 (GeV/c - ! 0 S K 2 M 0.5 1 1.5 2 2.5 3 2 ) 2 (GeV/c + ! 0 S K 2 M 0.5 1 1.5 2 2.5 3 2 ) 2 (GeV/c - ! 0 S K 2 M 0.5 1 1.5 2 2.5 3 2 ) 2 (GeV/c + ! 0 S K 2 M 0.5 1 1.5 2 2.5 3 2 ) 2 (GeV/c - ! 0 S K 2 M 0.5 1 1.5 2 2.5 3 2 ) 2 (GeV/c + ! 0 S K 2 M 0.5 1 1.5 2 2.5 3 2 ) 2 (GeV/c - ! 0 S K 2 M 0.5 1 1.5 2 2.5 3 2 ) 2 (GeV/c + ! 0 S K 2 M 0.5 1 1.5 2 2.5 3 2 ) 2 (GeV/c - ! 0 S K 2 M 0.5 1 1.5 2 2.5 3 2 ) 2 (GeV/c + ! 0 S K 2 M 0.5 1 1.5 2 2.5 3 2 ) 2 (GeV/c - ! 0 S K 2 M 0.5 1 1.5 2 2.5 3 2 ) 2 (GeV/c + ! 0 S K 2 M 0.5 1 1.5 2 2.5 3 2 ) 2 (GeV/c - ! 0 S K 2 M 0.5 1 1.5 2 2.5 3 2 ) 2 (GeV/c + ! 0 S K 2 M 0.5 1 1.5 2 2.5 3 2 ) 2 (GeV/c - ! 0 S K 2 M 0.5 1 1.5 2 2.5 3 2 ) 2 (GeV/c + ! 0 S K 2 M 0.5 1 1.5 2 2.5 3 2 ) 2 (GeV/c - ! 0 S K 2 M 0.5 1 1.5 2 2.5 3 2 ) 2 (GeV/c + ! 0 S K 2 M 0.5 1 1.5 2 2.5 3 2 ) 2 (GeV/c - ! 0 S K 2 M 0.5 1 1.5 2 2.5 3 Data Fit Dalitz Plot - ! + ! 0 S K 0.5 1 1.5 2 2.5 3 0 100 200 300 400 500 600 700 Track 1-3 Projection Fit Comparison 0.5 1 1.5 2 2.5 3 0 500 1000 1500 2000 2500 3000 3500 Track 1-2 Projection Fit Comparison 0 0.5 1 1.5 2 2.5 3 0 100 200 300 400 500 600 700 800 900 Track 2-3 Projection Fit Comparison Intermediate State - ! + (892) * K nonresonant 1 " 0 S K - ! + (1430) 0 * K (980) 0 f 0 S K + ! - (1680) * K - ! + (1430) 2 * K (1370) 0 f 0 S K - ! + (1680) * K (1270) 2 f 0 S K (1450) 0 # 0 S K $ 0 S K 2 " 0 S K + ! - (1410) * K + ! - (892) * K + ! - (1430) 2 * K - ! + (1410) * K + ! - (1430) 0 * K Belle Fit Fraction Our Fit Fraction 0 0.5 1 1.5 2 2.5 3 3.5 4 Fit Fraction Ratios Intermediate State - ! + (892) * K nonresonant 1 " 0 S K - ! + (1430) 0 * K (980) 0 f 0 S K + ! - (1680) * K - ! + (1430) 2 * K (1370) 0 f 0 S K - ! + (1680) * K (1270) 2 f 0 S K (1450) 0 # 0 S K $ 0 S K 2 " 0 S K + ! - (1410) * K + ! - (892) * K + ! - (1430) 2 * K - ! + (1410) * K + ! - (1430) 0 * K ) ° Our phase - Belle Phase ( -60 -40 -20 0 20 40 60 Phase Differences Intermediate State Amplitude Phase ( ) Fit Fraction (%) K (892) + π 1.79 ± 0.04 137.6 ± 1.9 62.02 ± 0.04 K 0 S ρ 0 1.00 (fixed) 0.00 (fixed) 16.89 nonresonant 4.5 ± 1.0 159 ± 5 11.9 ± 0.4 K 0 S σ 1 1.64 ± 0.10 207 ± 3 10.24 ± 0.12 K 0 (1430) + π 2.54 ± 0.17 343 ± 3 9.00 ± 0.13 K 0 S f 0 (980) 0.406 ± 0.020 199 ± 5 4.32 ± 0.10 K (1680) π + 8.2 ± 1.0 141 ± 6 3.9 ± 0.3 K 2 (1430) + π 1.59 ± 0.08 312 ± 4 3.86 ± 0.10 K 0 S f 0 (1370) 1.6 ± 0.4 78 ± 17 1.8 ± 0.5 K (1680) + π 4.3 ± 1.4 60. ± 13 1.1 ± 0.7 K 0 S f 2 (1270) 1.19 ± 0.15 343 ± 9 1.0 ± 0.3 K 0 S ρ 0 (1450) 1.6 ± 0.4 159 ± 14 0.9 ± 0.5 K 0 S ω 0.044 ± 0.007 110 ± 10 0.7 ± 0.3 K 0 S σ 2 0.23 ± 0.04 248 ± 12 0.5 ± 0.3 K (1410) π + 0.67 ± 0.16 238 ± 11 0.5 ± 0.5 K (892) π + 2.54 ± 0.17 305 ± 6 0.35 ± 0.13 K 2 (1430) π + 0.30 ± 0.09 304 ± 16 0.1 ± 0.6 K (1410) + π 0.25 ± 0.15 280 ± 40 0.1 ± 1.2 K 0 (1430) π + 0.09 ± 0.14 60 ± 70 0 ± 3 Total 129.07 0 5 10 15 20 25 2 ) 2 (GeV/c + ! 0 S K 2 M 0.5 1 1.5 2 2.5 3 2 ) 2 (GeV/c - ! 0 S K 2 M 0.5 1 1.5 2 2.5 3 using final fit 2 "

Upload: nick-eminizer

Post on 13-Apr-2017

95 views

Category:

Documents


1 download

TRANSCRIPT

RESEARCH POSTER PRESENTATION DESIGN © 2012

www.PosterPresentations.com

2)2 + (GeV/c2 M0.5 1 1.5 2 2.5 3

2 )2 -

(GeV

/c2

M

0.5

1

1.5

2

2.5

3 Entries 20253Entries 20253

Dalitz Plot (vs. flavor tags)-!+!0SK

!"#$"%&'%(#)#(")*+%"(",-#'&#-."#%"*',),-#*+/*-%+0-+%"#1,#23#445#KS0!+!-

-."# 678999# :"-"0-'%# )-# -."# 67;<99=# >*1,?# )# *1($@"# -%")-(",-# '&# -."# *()@@#/)0A?%'+,:*#),:#B',-"#<)%@'#*1(+@)C',*#-'#0)@0+@)-"#"D01",0EF#G"#H,:#-.)-# -."# )*E(("-%10# I)J'%4-)??":# 2)@1-K# $@'-# 1*# :"*0%1/":# G"@@# /E# )#0'(/1,)C',#'&#*"J"%)@#L+)*14-G'4/':E#:"0)E#0.),,"@*#)@',?#G1-.#)#,',4%"*',),-# -"%(=# !"# 0'($)%"# '+%# %"*+@-*# -'# -.'*"# '&# )# *1(1@)%# *-+:E#0'($@"-":#/E#-."#6"@@"#<'@@)/'%)C',#1,#M33N=#

!"#$%!&$'

()$%*+,&$(*)'

>*":#I)J'%4-)??":#KS0!+!- "J",-*#

81?,)@#%"?1',#1,#?%"",F#A1,"()C0#0+-*#()%A":#1,#/@+"#),:#%":#

$-.'/#01213'4*+.'

O"0',*-%+0C',#"D01",0E#&'+,:#+*1,?#PQR3P#B',-"#<)%@'#*1(+@)-":#"J",-*#

S1T":#G1-.#)#$%':+0-#'&#-G'#&'+%-.#'%:"%#$'@E,'(1)@*#

.55(&(.)&6'5($'

5($'%.#,7$#'

&*48!%(#*)'9($-'".77.'5()+():#'

!&/)*97.+:.4.)$#'U."#)+-.'%#G1*."*#-'#-.),A#;%'&"**'%#O'E#6%1"%"#&'%#)@@#'&#.1*#."@$#),:#?+1:),0"F#2%=#<.+,@"1#V1+#),:#W,+%#X@/)E%)A#&'%#-."1%#."@$#G1-.#$%'?%)((1,?#),:#0'($+C,?F#2),#X(/%'*"# &'%# -."# &+,0C',*#G.10.# 0)@0+@)-":# -."# *"$)%)-"#()-%1Q# "@"(",-*# &'%# ")0.#0'($',",-# :"0)EF# ),:# -."# <)%,"?1"# B"@@',# >,1J"%*1-E# ;.E*10*# 2"$)%-(",-# &'%#$%'J1:1,?#%"*")%0.#'$$'%-+,1C"*#-'#+,:"%?%):+)-"*#&'%#0@)**#0%":1-=#

S)@@#M3RM#),:#8$%1,?#M3RY=#Z10A#7(1,1K"%#0@)**#'&#M3RYF#68#1,#;.E*10*F#(1,'%#1,#<.1,"*"#8-+:1"*#

!"#0',0@+:"#-.)-#-."#:'+/@"#I)J'%#-)??":#2)@1-K#;@'-#'&#23#445#[83\]\4# 1*#H-#G"@@#/E#)#@1,")%#0'(/1,)C',#'&#R^#1,-"%(":1)-"#L+)*14-G'4/':E#:"0)E*#G1-.# )# ,',%"*',),-# 0'($',",-=# U."# )($@1-+:"*# ),:# $.)*"*# '&# -."*"#-"%(*# ?","%)@@E# %"$%':+0"# -."# 'J"%)@@# %"*+@-*# '&# -."# 6"@@"# <'@@)/'%)C',#G1-.# )# &"G# :"J1)C',*=# U.%'+?.'+-# -."# 0'+%*"# '&# -."# $%'_"0-F# G"`J"#@")%,":# )/'+-# -."# ,)-+%"# '&# $.)*"# *$)0"# 1,# ?","%)@# -.%""4/':E# :"0)E*F#.'G#-'#0)@0+@)-"#"@"(",-*#'&#)#:"0)E#()-%1Q#:"$",:1,?#',#-."#*$1,#'&#-."#0'($',",-# $)%C0@"*F# .'G# -'# -%")-# *()@@# /)0A?%'+,:*# ),:# .'G# -'# +*"#B',-"# <)%@'# *1(+@)-":# :)-)# -'# "Q)(1,"# %"0',*-%+0C',# "D01",0EF# ),:#.'G# -'# "a"0CJ"@E# H-# &+,0C',*# -'# :)-)# 1,# .1?.@E# 0'%%"@)-":# ,',@1,")%#*$)0"*#G1-.#@)%?"#,+(/"%*#'&#$)%)("-"%*=#

S1-#bMc2WSd#

RNRecRYYf#g#R=MR#

S1T":#/)0A?%'+,:#*+/-%)0-":#2)@1-K#;@'-#G1-.#"D01",0E4G"1?.-":#-."'%"C0)@#$%":10C',*F#@")J1,?#)($@1-+:"*#),:#$.)*"*#&%""#-'#J)%E#

• #;%":10-#)($@1-+:"#)-#)@@#$'1,-*#1,#$.)*"#*$)0"#

• #<)@0+@)C',#1*#:"$",:",-#',#*$1,#'&#1,-"%(":1)-"#$)%C0@"#

"=?=#)($@1-+:"#&'%#)#*0)@)%#%"*',),0"#1*#*1($@"*-d#

!."%"#S2#1*#)#&'%(#&)0-'%#0'%%"*$',:1,?#-'#-."#23#),:#S%#1*#)#&'%(#&)0-'%#0'%%"*$',:1,?#-'#-."#%"*',),0"=#S'%#.1?."%#*$1,*#-."*"#&'%(#&)0-'%*#)%"#&+,0C',*#'&#$.)*"#*$)0"=#

• #U'-)@#)($@1-+:"#1*#-."#0'."%",-#*+(#'&#)@@#0'($',",-#)($@1-+:"*#G1-.#$.)*"*#*L+)%":d#

9,-"%&"%",0"#/"-G"",#0'($',",-*#1*#:+"#-'#-."#$.)*"#-"%(*#1,#-."#*+(=#

• #W+%#H-#+*"*#R^#%"*',),-#-"%(*#G1-.#',"#,',%"*',),-#0'($',",-d#

• #h","%)@#-.%""#/':E#:"0)E#.)*#-G'#######:"?%""*#'&#&%"":'(#

• #2)@1-K#i)%1)/@"*d#BM1_#g#j$1#]#$_kM#

• #>*"#2)@1-K#J)%1)/@"*#-'#:"$10-#$.)*"####*$)0"d#*.'G#%"*',),-#*+/*-%+0-+%"#

• #<',*-),-#)($@1-+:"#?1J"*#0',*-),-#:",*1-E#)0%'**#-."#$@'-#

• #i)%1)C',*#)%"#6%"1-4!1?,"%#:1*-%1/+C',*#'&#0'($',",-#:"0)E#0.),,"@*#(+@C$@1":#/E#*$1,#*-%+0-+%"#

&*)&7,#(*)#'

2)@1-K#X,)@E*1*#'&#-."#2"0)E#23######[83\]\4#

+!7($;'87*$'5($'

"!&/:%*,)+'#,"$%!&$(*)'

57!<*%'$!::.+'+!7($;'87*$'

57!<*%'$!:#'

$-.*%6'

R<)%,"?1"#B"@@',#>,1J"%*1-EF#;1T*/+%?.F#;X ##M>,1J"%*1-E#'&#O'0."*-"%F#O'0."*-"%F#Zl#

Z10A#7(1,1K"%R#),:#;%'&=#O'E#6%1"%"R##G1-.#)**1*-),0"#&%'(#W,+%#X@/)E%)ARF#2%=#<.+,@"1#V1+RF#),:#2),#X(/%'*"M#

)2 tag1 mBC (GeV/c1.83 1.84 1.85 1.86 1.87 1.88 1.89

)2 ta

g2 m

BC (G

eV/c

1.83

1.84

1.85

1.86

1.87

1.88

1.89 tag1 vs. tag2 mass flavor-!+!

0SK

Entries 23820 tag1 vs. tag2 mass flavor-!+!

0SK

Entries 23820

(flavor tags) doubletag mass-!+!0SK

$=>'4?@A' B'?C'/#01213'DE>F=G'AHAFID' B'?C'/#01213'J=KL>M?NF@'AHAFID'

[4#\]#j;10-+%":#6"@'Gk# fe^^# R3m#

[4#\]#\3# ^eYR# YMR#

[4#\]#\]#\4# NYYf# YeM#

)2 mBC (GeV/c1.83 1.84 1.85 1.86 1.87 1.88 1.89

E (G

eV)

!

-0.1

-0.08

-0.06

-0.04

-0.02

0

0.02

0.04

0.06

0.08

0.1 vs flavor tags-"+"0

SK

E (GeV)! -0.1 -0.08 -0.06 -0.04 -0.02 0 0.02 0.04 0.06 0.08 0.1

0

500

1000

1500

2000

2500

3000

E! -"+"0SK

)2 mBC (GeV/c1.83 1.84 1.85 1.86 1.87 1.88 1.89

0

1000

2000

3000

4000

5000

6000

7000

mass-"+"0SK

)2

mBC (GeV/c

1.83 1.84 1.85 1.86 1.87 1.88 1.89

E (GeV)

!

-0.1-0.08-0.06-0.04-0.020

0.020.040.060.080.1

0

200

400

600

800

1000

vs flavor tags-"+"0SK

)2 mBC (GeV/c1.83 1.84 1.85 1.86 1.87 1.88 1.89

E (G

eV)

!

-0.1

-0.08

-0.06

-0.04

-0.02

0

0.02

0.04

0.06

0.08

0.1 kpi_overviewEntries 132172kpi_overview

Entries 132172

+"-Kkpi_deltaE

Entries 99592

E (GeV)! -0.1 -0.08 -0.06 -0.04 -0.02 0 0.02 0.04 0.06 0.08 0.10

1000

2000

3000

4000

5000

6000

7000

8000

9000

kpi_deltaEEntries 99592

E! +"-K

kpi_mBCEntries 95677

)2 mBC (GeV/c1.83 1.84 1.85 1.86 1.87 1.88 1.890

2000

4000

6000

8000

10000

12000

14000

16000

18000

20000

22000

kpi_mBCEntries 95677

mass+"-K

)2

mBC (GeV/c

1.83 1.84 1.85 1.86 1.87 1.88 1.89

E (GeV)

!

-0.1-0.08-0.06-0.04-0.020

0.020.040.060.080.1

0

500

1000

1500

2000

2500

3000

kpi_overviewEntries 132172kpi_overview

Entries 132172

+"-K

2)2 (GeV/c+!0SK

2 M0.5 1 1.5 2 2.5 3

2 )2 (G

eV/c

-!

0 SK2

M

0.5

1

1.5

2

2.5

3

Background Events-!+!0SK

2)2 (GeV/c-!0SK

2 M0.5 1 1.5 2 2.5 30

2

4

6

8

10

12

14

16

18

20

Tracks 1-3 projection

2)2 (GeV/c+!0SK

2 M0.5 1 1.5 2 2.5 30

5

10

15

20

25

30

35

Tracks 1-2 projection

2)2 (GeV/c-!+!2 M

0 0.5 1 1.5 2 2.5 30

2

4

6

8

10

12

14

16

18

20

22

24

Tracks 2-3 projection

2)2 (GeV/c+!0SK

2 M0.5 1 1.5 2 2.5 3

2 )2 (G

eV/c

-!

0 SK2

M

0.5

1

1.5

2

2.5

3

0

0.02

0.04

0.06

0.08

0.1

0.12

0.14DataFit

Efficiency Calculation (from polynomial fit)

0.5 1 1.5 2 2.5 30

1

2

3

4

5

Track 1-3 Projection Efficiency Fit Comparison

0.5 1 1.5 2 2.5 30

1

2

3

4

5

Track 1-2 Projection Efficiency Fit Comparison

0 0.5 1 1.5 2 2.5 30

1

2

3

4

5

6

7

Track 2-3 Projection Efficiency Fit Comparison

-6

-4

-2

0

2

2)2 (GeV/c+!0SK

2 M0.5 1 1.5 2 2.5 3

2 )2 (G

eV/c

- !0 SK2 M

0.5

1

1.5

2

2.5

3

"Efficiency Function Fit, Signed "Efficiency Function Fit, Signed

-5

-4

-3

-2

-1

0

1

2

3

2)2 (GeV/c+!0SK

2 M0.5 1 1.5 2 2.5 3

2 )2 (G

eV/c

- !0 SK2

M

0.5

1

1.5

2

2.5

3

using final fit"Signed using final fit"Signed

S1,)@#bMc2WSd#

RePYcRmRP#g#R=Rf#

6)0A?%'+,:#"J",-*#)%"#&%'(#%":#*1:"/),:#/'Q"*#

X**+(":#-'#/"#I)-#1,#/")(#0',*-%)1,":#()**#*$)0"#),:#1,:"$",:",-#

2)2 (GeV/c+!0SK

2 M0.5 1 1.5 2 2.5 3

2 )2 (G

eV/c

-!

0 SK2

M

0.5

1

1.5

2

2.5

3

2)2 (GeV/c+!0SK

2 M0.5 1 1.5 2 2.5 3

2 )2 (G

eV/c

-!

0 SK2

M

0.5

1

1.5

2

2.5

3

2)2 (GeV/c+!0SK

2 M0.5 1 1.5 2 2.5 3

2 )2 (G

eV/c

-!

0 SK2

M

0.5

1

1.5

2

2.5

3

2)2 (GeV/c+!0SK

2 M0.5 1 1.5 2 2.5 3

2 )2 (G

eV/c

-!

0 SK2

M

0.5

1

1.5

2

2.5

3

2)2 (GeV/c+!0SK

2 M0.5 1 1.5 2 2.5 3

2 )2 (G

eV/c

-!

0 SK2

M

0.5

1

1.5

2

2.5

3

2)2 (GeV/c+!0SK

2 M0.5 1 1.5 2 2.5 3

2 )2 (G

eV/c

-!

0 SK2

M

0.5

1

1.5

2

2.5

3

2)2 (GeV/c+!0SK

2 M0.5 1 1.5 2 2.5 3

2 )2 (G

eV/c

-!

0 SK2

M

0.5

1

1.5

2

2.5

3

2)2 (GeV/c+!0SK

2 M0.5 1 1.5 2 2.5 3

2 )2 (G

eV/c

-!

0 SK2

M

0.5

1

1.5

2

2.5

3

2)2 (GeV/c+!0SK

2 M0.5 1 1.5 2 2.5 3

2 )2 (G

eV/c

-!

0 SK2

M

0.5

1

1.5

2

2.5

3

2)2 (GeV/c+!0SK

2 M0.5 1 1.5 2 2.5 3

2 )2 (G

eV/c

-!

0 SK2

M

0.5

1

1.5

2

2.5

3

2)2 (GeV/c+!0SK

2 M0.5 1 1.5 2 2.5 3

2 )2 (G

eV/c

-!

0 SK2

M

0.5

1

1.5

2

2.5

3

2)2 (GeV/c+!0SK

2 M0.5 1 1.5 2 2.5 3

2 )2 (G

eV/c

-!

0 SK2

M

0.5

1

1.5

2

2.5

3

2)2 (GeV/c+!0SK

2 M0.5 1 1.5 2 2.5 3

2 )2 (G

eV/c

-!

0 SK2

M

0.5

1

1.5

2

2.5

3

2)2 (GeV/c+!0SK

2 M0.5 1 1.5 2 2.5 3

2 )2 (G

eV/c

-!

0 SK2

M

0.5

1

1.5

2

2.5

3

2)2 (GeV/c+!0SK

2 M0.5 1 1.5 2 2.5 3

2 )2 (G

eV/c

-!

0 SK2

M

0.5

1

1.5

2

2.5

3

2)2 (GeV/c+!0SK

2 M0.5 1 1.5 2 2.5 3

2 )2 (G

eV/c

-!

0 SK2

M

0.5

1

1.5

2

2.5

3

2)2 (GeV/c+!0SK

2 M0.5 1 1.5 2 2.5 3

2 )2 (G

eV/c

-!

0 SK2

M

0.5

1

1.5

2

2.5

3

2)2 (GeV/c+!0SK

2 M0.5 1 1.5 2 2.5 3

2 )2 (G

eV/c

-!

0 SK2

M

0.5

1

1.5

2

2.5

3

2)2 (GeV/c+!0SK

2 M0.5 1 1.5 2 2.5 3

2 )2 (G

eV/c

-!

0 SK2

M

0.5

1

1.5

2

2.5

3

2)2 (GeV/c+!0SK

2 M0.5 1 1.5 2 2.5 3

2 )2 (G

eV/c

-!

0 SK2

M

0.5

1

1.5

2

2.5

3 DataFit

Dalitz Plot-!+!0SK

0.5 1 1.5 2 2.5 30

100

200

300

400

500

600

700

Track 1-3 Projection Fit Comparison

0.5 1 1.5 2 2.5 30

500

1000

1500

2000

2500

3000

3500

Track 1-2 Projection Fit Comparison

0 0.5 1 1.5 2 2.5 30

100

200

300

400

500

600

700

800

900

Track 2-3 Projection Fit Comparison

Intermediate State-!

+(892)*K nonresonant

1"

0S

K-!

+(1430)

0*K (980)0f

0S

K+!

-(1680)*K

-!+

(1430)2*K (1370)0f

0S

K-!

+(1680)*K (1270)2f

0S

K (1450)0#

0S

K $0

SK

2"

0S

K+!

-(1410)*K

+!-(892)

*K+!

-(1430)2*K

-!+

(1410)*K

+!-(1430)

0*K

Belle

Fit

Frac

tion

Our

Fit

Frac

tion

0

0.5

1

1.5

2

2.5

3

3.5

4

Fit Fraction Ratios

Intermediate State-!

+(892)*K nonresonant

1"

0S

K-!

+(1430)0*K (980)0f

0S

K+!

-(1680)*K

-!+

(1430)2*K (1370)0f

0S

K-!

+(1680)*K (1270)2f

0S

K(1450)

0#0

SK $

0S

K2"

0S

K+!

-(1410)*K

+!-(892)

*K+!

-(1430)2*K

-!+

(1410)*K

+!-(1430)0

*K

)°O

ur p

hase

- Be

lle P

hase

(

-60

-40

-20

0

20

40

60

Phase Differences

Intermediate State Amplitude Phase (◦) Fit Fraction (%)

K∗(892)+π− 1.79 ± 0.04 137.6 ± 1.9 62.02 ± 0.04K0

Sρ0 1.00 (fixed) 0.00 (fixed) 16.89

nonresonant 4.5 ± 1.0 159 ± 5 11.9 ± 0.4K0

Sσ1 1.64 ± 0.10 207 ± 3 10.24 ± 0.12K∗

0(1430)+π− 2.54 ± 0.17 343 ± 3 9.00 ± 0.13

K0Sf0(980) 0.406 ± 0.020 199 ± 5 4.32 ± 0.10

K∗(1680)−π+ 8.2 ± 1.0 141 ± 6 3.9 ± 0.3K∗

2(1430)+π− 1.59 ± 0.08 312 ± 4 3.86 ± 0.10

K0Sf0(1370) 1.6 ± 0.4 78 ± 17 1.8 ± 0.5

K∗(1680)+π− 4.3 ± 1.4 60. ± 13 1.1 ± 0.7K0

Sf2(1270) 1.19 ± 0.15 343 ± 9 1.0 ± 0.3K0

Sρ0(1450) 1.6 ± 0.4 159 ± 14 0.9 ± 0.5K0

Sω 0.044 ± 0.007 110 ± 10 0.7 ± 0.3K0

Sσ2 0.23 ± 0.04 248 ± 12 0.5 ± 0.3K∗(1410)−π+ 0.67 ± 0.16 238 ± 11 0.5 ± 0.5K∗(892)−π+ 2.54 ± 0.17 305 ± 6 0.35 ± 0.13K∗

2(1430)−π+ 0.30 ± 0.09 304 ± 16 0.1 ± 0.6

K∗(1410)+π− 0.25 ± 0.15 280 ± 40 0.1 ± 1.2K∗

0(1430)−π+ 0.09 ± 0.14 60 ± 70 0 ± 3

Total 129.07

0

5

10

15

20

25

2)2 (GeV/c+!0SK

2 M0.5 1 1.5 2 2.5 3

2 )2 (G

eV/c

- !0 SK2

M

0.5

1

1.5

2

2.5

3

using final fit2" using final fit2"