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Department of Physics and Astronomy - University of Heidelberg

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B+ → K∗+µ+µ− K∗+ → K+π0

B B+ → K∗+µ+µ−

B+ → J/ψK∗+ K∗+ K∗+ → K+π0

√s = 7

√s = 8

81 ± 16 B+ → K∗+(→ K+π0)µ+µ− 6σ

B(B+ → K∗+µ+µ−)B(B+ → J/ψ(→ µ+µ−)K∗+)

= (1.03± 0.20stat. ± 0.04syst.)× 10−2

B+ → K∗+µ+µ−

B(B+ → K∗+µ+µ−) = (0.88± 0.17stat. ± 0.06syst.)× 10−6.

B+ → K∗+µ+µ−

B+ → J/ψK∗+ K∗+ → K+π0

√s = 7

√s = 8

81 ± 16 B+ → K∗+µ+µ− 6σ

B(B+ → K∗+µ+µ−)B(B+ → J/ψ(→ µ+µ−)K∗+)

= (1.03± 0.20stat. ± 0.04syst.)× 10−2

B+ → K∗+µ+µ−

B(B+ → K∗+µ+µ−) = (0.88± 0.17stat. ± 0.06syst.)× 10−6

B

B → K∗µ+µ−

b b

s

B B+ → K∗+(892)µ+µ−

B+ → K∗+(892)µ+µ−

K∗ K∗0 → K+π−

K∗+ → K0S(→ π+π−)π+

K∗+ → K+π0(→ γγ)

π0

K∗+ → K+π0(→ γγ)

B+ → K∗+µ+µ−

3 −√s = 7

√s = 8

B+ → K∗+µ+µ−

B+ → K∗+µ+µ−

B

12

+ 23 − 1

3

V (r) ∝ κr r κ

±1e

γ

κ ∼ 1

e c2

u +2/3 2.3+0.7−0.5

d −1/3 4.8+0.5−0.3

c +2/3 1275± 25s −1/3 95± 5

t +2/3 (173.21± 0.51± 0.71)× 103

b −1/3 (4.18± 0.03)× 103

e c2

(e−) −1 0.511(νe) 0 < 2× 10−6

(µ−) −1 105.66(νµ) 0 < 0.19

(τ−) −1 1776.82± 0.16(ντ ) 0 < 18.2

u d sµ ≈ 2 c b

t

g

W+ W−

Z0

W

(H0)

e c2

γ < 10−35 0g 0 0

W ±1 80.385± 0.015Z 0 91.1876± 0.0021H0 125.7± 0.4

CP

β−

W−

q′

q q

⎜⎝d′

s′

b′

⎟⎠ =

⎜⎝Vud Vus Vub

Vcd Vcs Vcb

Vtd Vts Vtb

⎟⎠

⎜⎝d

s

b

⎟⎠

i j W

|Vij |2 i j

λ λ A ρ

η O(λ4)

⎜⎝Vud Vus Vub

Vcd Vcs Vcb

Vtd Vts Vtb

⎟⎠ =

⎜⎝1− λ2/2 λ Aλ3(ρ− iη)

−λ 1− λ2/2 Aλ2

Aλ3(1− ρ− iη) −Aλ2 1

⎟⎠+O(λ4).

Vub Vtd CP

η

λ = 0.22537± 0.00061, A = 0.814+0.023−0.024

ρ = ρ

(1− λ2

2

)= 0.117± 0.021, η = η

(1− λ2

2

)= 0.353± 0.013

CP CP C P CP

CP

B

B

CP B

B

B

B

b B

b

B

B

bb

W−

γ, Z0

b s(d)

l−

l+

χ−

t, c, u

b s

b → ql+l−

b → sl+l− t, c, u χ−

B0(bd) ↔ B0(bd)

B → K∗µ+µ−

B

B+ → K(∗)+µ+µ−

W+

t, c, u

γ, Z0

u

b

u

s

µ−

µ+

VtsV ∗tb

t, c, u W−

νµ

W+

u

b

u

s

µ−

VtsV ∗tb

µ+

B+ → K(∗)+µ+µ− ZW+W−

mq

mWmq

mW W

B+ → K∗+µ+µ− B

B+ → K∗+µ+µ− K∗+ → K+π0

B+ → K∗+µ+µ−

B+ → K∗+J/ψ(→ µµ)

B+ → K∗+µ+µ− K∗+ → K0S(→ π+π−)π+

W+

u

b

u

s

c

cV ∗cb

Vcs

B+ → J/ψ(1S)K∗+ J/ψJ/ψ → µµ

B+ → K∗+l+l− (1.29± 0.21)× 10−6

→ K∗+µ+µ− (1.12± 0.15)× 10−6

B+ → J/ψ(1S)K∗+ (1.44± 0.08)× 10−3

B+ → ψ(2S)K∗+ (6.7± 1.4)× 10−4

K∗+ → K+π0 ∼ 1/3

π0 → γγ (98.823± 0.034)

J/ψ(1S) → µ+µ− (5.961± 0.033)

ψ(2S) → µ+µ− (7.9± 0.9)× 10−3

B+

B+ → K∗+µ+µ− (1.16± 0.19)× 10−6 1 −

B+ → K∗+µ+µ− (0.924± 0.093stat. ± 0.067syst.)× 10−6 3 −

B+ → K∗+µ+µ− K∗+ → K0S(→ π+π−)π+

q2

(1.19± 0.39)× 10−6

B+ → K∗+µ+µ−

B√s = 14

L = 1034 − − pp√s = 7

√s = 8

√s = 13

z = 0

bb pp

b

b

B

pp B

1.6 < η < 4.9 η ≡ − ( ( θ2 )) θ

1012

c b pp

bb

pp B

B

x z

z

y x

∼ 1600

z∫B l ≈ 4

x z

σ(pp → bbX) = (284± 20± 49)µ√s = 7

σinel = 66.9 ± 2.9 ± 4.4√s = 7

b c

R φ x y

90.5 300µ

40µ

z 4 µ

200µ

50µ

150 130

x y

200µ

5971× 4850

χ2 χ2/ndf

J/ψ

20 /c

100 /c

π K p K π

B D

1 60 /c

15 c 100 c

µ

σE/E = 10√E

⊕ 1

σE/E = (69±5)√E

⊕(9±2)

π0

8 /c2

c

π0

π0

π0

π0

c

π0 pT pT

γ pT c

π0

50 π0

π0

B

pT

c

x

pT

pT

0.8 < pT < 1.7 c pT > 1.7 c

pT > 1.7 c

∆ L(X − π) ≡ [L(X)/L(π)]

∆ L

pT

ET

∼ 2000

B+ → K∗+(→ K+π0(→ γγ))µµ π0

π0 π0 → γγ π0 → γγpT (γ) > 200 /c

π0

B

B+ → K∗+µ+µ−

B+ → J/ψ(→ µ+µ−)K∗+.

K∗+ → K+π0

π0

∼ 6 B+ → K∗+µ+µ−

B

B+ → K∗+µ+µ−

B+ → J/ψ(→ µ+µ−)K∗+

B(B+ → K∗+µ+µ−)

B(B+ → J/ψ(→ µ+µ−)K∗+)=

N(B+ → K∗+µ+µ−)

N(B+ → J/ψ(→ µ+µ−)K∗+)× ϵ′ × ζ ′

N ϵ′

ζ ′

n

x x1, x2, ..., xn

f(x|a) a

L(a) =n∏

i=1

f(xi |a)

∫Ω f(x|a) x = 1 a

a

F (a) = − L(a) = −n∑

i=1

f(xi |a).

K+ γ1 γ2 µ+ µ−

B+ = K+ + γ1 + γ2 + µ+ + µ− .

B+

mB+ =√

2B+

z

pT =√

p2x + p2y.

θ

η = −[

θ

2

]=

(pz|p|

).

π0

OpenAngle = β =pγ1 pγ2

|pγ1 ||pγ2 |

pT pT pT

B+

B+

AConepT

=pT,B+cand. −

∑pT,otherTrack

pT,B+cand. +∑

pT,otherTrack

pT,B+cand. B+∑

pT,otherTrack

B+

IPχ2 χ2

B IP IPχ2

α

Trackχ2

V ertexχ2

pT

√s = 7

√s = 8

π0 π0

3 −

B+ → K∗+µ+µ− B+ → J/ψK∗+

IP IPχ2

Trackχ2/ndf

B+ → K∗+µ+µ− B+ → J/ψK∗+

B K∗+

B 4900 < M < 7000IPχ2 < 16

V ertexχ2/ndf < 8DIRA > 0.9999

χ2 > 121

K∗+ |m(K+π0)−M(K∗+)| < 300V ertexχ2/ndf < 9

χ2 > 9

µ+µ− m(µ+µ−) < 7100FDχ2 > 9

π0 pT > 800

IPχ2 > 9==

PIDµπ > −3

< 0.35

< 600

K∗+ 792 < m(K+π0) < 1050

B+ AConePT

> −0.5B+ pT > 2000B+ V ertexχ2 < 12B+ η < 4.9B+ DIRA > 0.99996

K+ Trackχ2/ndf < 2K+ pT > 300K+ PIDKπ > 0

γ1/2 CL > 0.15

B

B+ → K∗+µ+µ− 144672 16284B+ → J/ψK∗+ 146321 19313

B+ µµ

µµ

3100 3700

J/ψ(1S) mPDGJ/ψ = 3096.916 ± 0.011 ψ(2S)

mPDGψ = 3686.109+0.012

−0.014 B+

µµ

B+ 5300

B+ → J/ψ(→ µ+µ−)K∗+

B+

µµ

B+ → K∗+µ+µ− B+ → J/ψK∗+

B+

π0

B+

B+ B+

π0

B+

B+

sPlot

sPlot

sPlot

sPlot

B

B

B+ → K∗+µ+µ−

µµ J/ψ mµµ ∈ [2780, 3250]

B+ → J/ψK∗+

CB(x;α, n, µ,σ) = N ·

⎧⎨

⎩(− (x−µ)2

2σ2 ) x−µσ > −α

A · (B − x−µσ )−n x−µ

σ ≤ −α

A =

(n

|α|

)n

·(− |α|2

2

)

B =n

|α| − |α|

N =1

σ(C +D)

C =n

α· 1

n− 1·

(− |α|2

2

)

D =

√π

2

(1 +

(|α|√2

))

N erf α

n µ σ

α

B

σ2/σ1

FS = f · CB(m;α1, n1, µ,σ1) + (1− f) · CB(m;α2, n2, µ,σ2)

f m

FB =1

Neτm

N τ

FS+B = NsigFS +NbkgFB

Nsig Nbkg

α1 0.87α2 −0.879n1 2.7n2 8.3

α1 0.73α2 −0.7715n1 3.33n2 5.4σ2 1.12σ1

B π0

π0

B π0 B+ → J/ψK∗+

1 2

B

sPlot

B π0

B π0

B+ π0

B

B+ → K∗+µ+µ− B+ → J/ψK∗+

B+ → K∗+µ+µ−

K+π0 K+π0 K∗0 (1430)

Γ = 270 ± 80 K∗(892)

K∗(892)

K+π0

K∗

γ → e+e−

K+π0

pT (B) η(B) pT (π0) η(π0) IPχ2(B) V ertexχ2(B)

B+ → J/ψK∗+

J/ψ(1S) ψ(2S)

B+ → K∗+µ+µ−

J/ψ → µµ

µµ ψ(2S)

mµµ ∈ [3536, 3873]

J/ψ(1S) mµµ ∈ [2780, 3250] c2

99.7

J/ψ(1S) B

B+

B+ → J/ψ(→ µµ)K∗+

B+ → K∗+µ+µ−

B+

J/ψ(1S) ψ(2S)

98 B+ → K∗+µ+µ−

mK+γγµµ ∈ [5100, 5700] c2 mK+γγµµ ∈ [5000, 5100] c2

mK+γγµµ ∈ [5700, 7000(6800 π0 )] c2

B π0 B π0

B

B

B+ → K∗+µ+µ−

π0

pT (K+) B

B

B

K+ π0 |η(π0)− η(K+)|

B+ AConepT

B+ AConepT

B DIRA

B+

π0

B+

B+

IP IPχ2

IP IPχ2

IPχ2

nn

pT (B+) pT (K

+)

[Max(pT (γ1), pT (γ2))] AConepT

η(B+) |η(π0)− η(K+)|

[IPχ2(B+)][Min(IPχ2(µ+), IPχ2(µ−))]

DIRA OpenAngle

CL(γ1) CL(γ2) Trackχ2/ndf(K+)V ertexχ2(K+) V ertexχ2(B+)

B

B

B

B+ K+ µ γ

pT pT [Min(IPχ2(µ+), IPχ2(µ−))] CL1

DIRA Trackχ2/ndf CL2

[IPχ2] V ertexχ2 [Max(pT (γ1), pT (γ2))]V ertexχ2 |η(π0)− η(K+)| OpenAngleACone

pT

η

pT (γ1) pT (γ2)

xi

+1

−1

B+ B+ π0

B B π0

B+

B+

mK+γγµµ

mK+γγµµ

−0.1

0.3

B+

mK+γγµµ ∈ [5100, 5700]

B+ → J/ψK∗+ B+ → K∗+µ+µ−

ϵMC

B+ → K∗+µ+µ−

B+ → J/ψK∗+

nSigBDTµµ = nSigBDT

J/ψ ×ϵMCµµ

ϵMCJ/ψ

× B(B+ → K∗+µ+µ−)

B(B+ → J/ψ(→ µµ)K∗+).

nBkgµµ

mK+γγµµ ∈ [5130, 5600]

FoM =nSigµµ√

nSigµµ + nBkgµµ.

B+ B+

π0

B+ π0

B+ π0

B+ → J/ψK∗+ B+ → K∗+µ+µ−

B+ mK+γγµµ ∈ [5100, 5700]

B+ → K∗+µ+µ− B+ → J/ψK∗+

S =√2 ·Min( [Lbkg])− 2 ·Min( [Lsig+bkg])

Min( [Lbkg])

Min( [Lsig+bkg])

nSig

B+

B+ π0

nSigB+ → K∗+µ+µ− 80± 16mπ0 81± 16

B+ → J/ψK∗+ 15235± 208mπ0 15846± 196

B+ → K∗+µ+µ− B+ → J/ψK∗+.

B+

1 2

B+ J/ψ(1S)

1 2

B+ π0

1 2

B+ π0 J/ψ(1S)

1 2

B+ → K∗+µ+µ−

B+ → J/ψ(→ µ+µ−)K∗+

B+ → K∗+µ+µ−

ϵMCµµ =

NMC(B+ → K∗+µµ)

NMCsim.(B

+ → K∗+µµ)

ϵMCJ/ψ =

NMC(B+ → J/ψ(→ µµ)K∗+)

NMCsim.(B

+ → J/ψ(→ µµ)K∗+),

NMC

NMCsim.

pT (B+)

s

B+ → K∗+µ+µ− B+ → J/ψK∗+

pT (B+) B+ → K∗+µ+µ− s

pT (B+) B+ → J/ψK∗+ s

N ′ =N∑

i=1

wi

N wi i

N ′MC(sim.)

B+ → K∗+µ+µ− 2649± 64

B+ → J/ψK∗+ 5203± 101

weff

∆N ′ = N ′√weff

∑i wi

weff∑

i wi

weff =

∑i wi∑i w

2i

.

ϵMCµµ = (2.51± 0.06)× 10−3

ϵMCJ/ψ = (5.07± 0.10)× 10−3.

ϵMC B+ → K∗+µ+µ−

B+ → J/ψ(→ µ+µ−)K∗+

B(B+ → K∗+µ+µ−)

B(B+ → J/ψ(→ µ+µ−)K∗+)=

N(B+ → K∗+µ+µ−)

N(B+ → J/ψ(→ µ+µ−)K∗+)× ϵ′ × ζ ′,

N ϵ′

ϵ′ =ϵMCJ/ψ

ϵMCµµ

.

B(B+ → J/ψ(→ µ+µ−)K∗+) B+ → J/ψK∗+

J/ψ → µµ

ζ ′

ζ ′ =ζB+→J/ψK∗+

ζB+→K∗+µ+µ−=

0.154

0.1547.

B(B+ → K∗+µ+µ−)

B(B+ → J/ψ(→ µ+µ−)K∗+)= (1.03± 0.20stat.)× 10−2.

B+ → J/ψK∗+ J/ψ → µµ

B(B+ → J/ψK∗+) = (1.44± 0.08)× 10−3

B(J/ψ → µµ) = (5.961± 0.033)

B+ → K∗+µ+µ−

B(B+ → K∗+µ+µ−) = (0.88± 0.17stat.)× 10−6.

B+ → K∗+µ+µ− 5.5

3

B

pT (B+)

pT (B+) 2.2

B+ → J/ψ(→ µµ)K∗+

B+ → K∗+µ+µ−

B

J/ψ(1S) ψ(2S)

J/ψ → µµ

B+ → φ(1020)K∗+ φ → µ+µ−

B+ → K∗+µ+µ− B+ → J/ψK∗+

B+ → J/ψρ+(→ π+π0)

B

K∗

B

∼ 19

B+ → K∗+µ+µ− K∗+ → K+π0

B+ → K∗+µ+µ−

B+ → J/ψK∗+ √s = 7

√s = 8 3 −

B+ → K∗+µ+µ−

sPlot

B+ → K∗+µ+µ− B+ → J/ψK∗+

B+

B(B+ → K∗+µ+µ−)

B(B+ → J/ψ(→ µ+µ−)K∗+)= (1.03± 0.20stat. ± 0.04syst.)× 10−2,

B+ → K∗+µ+µ−

B(B+ → K∗+µ+µ−) = (0.88± 0.17stat. ± 0.06syst.)× 10−6.

B+ → K∗+µ+µ−

nSigµµ = 81± 16,

K∗+ → K+π0 B+ → K∗+µ+µ−

B+ → J/ψK∗+

B+ → J/ψK∗+

pT (B) η(B) pT (π0) η(π0) IPχ2(B) V ertexχ2(B)

B+ → K∗+µ+µ−

IPχ2(µ−) pT (γ1) CL(γ)B+ → K∗+µ+µ−

K+π0

K+π0

mK+π0 ∈ [792, 1050]

1 2


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