Data analysis of Belle unpolarized data: experimental error correction

1. Francesca Giordano, Martin Leitgab
for the BELLE collaboration
PRECISE PION AND KAON
MULTIPLICITIES @ BELLE
QCD-N’12, BILBAO
October 22-26 2012

2. Francesca Giordano
Fragmentation processor how do the hadrons get formed?
2

3. Francesca Giordano
Fragmentation processor how do the hadrons get formed?
q
2

4. Francesca Giordano
Fragmentation processor how do the hadrons get formed?
q
q
q
2

5. Francesca Giordano
Fragmentation processor how do the hadrons get formed?
Dq
h
h
q
q
q
2

6. Francesca Giordano
Fragmentation processor how do the hadrons get formed?
Dq
h
h
q
q
q
Fragmentation function describes the
process of hadronization of a parton
2

7. Francesca Giordano
Fragmentation processor how do the hadrons get formed?
Strictly related to quark confinement
Dq
h
h
q
q
q
Fragmentation function describes the
process of hadronization of a parton
2

8. Francesca Giordano
Fragmentation processor how do the hadrons get formed?
Strictly related to quark confinement
Dq
h
h
q
Fragmentation function describes the
process of hadronization of a parton
Cleanest way to access FF is in e+e- qq
e+
e- q
e+
e !hX
/
X
i=q¯q
e+
e !q¯q
⇥ Dh
q
2

9. Francesca Giordano
Fragmentation processor how do the hadrons get formed?
Strictly related to quark confinement
Universal: can be used to study the
nucleon structure when combined
with SIDIS and pp data
Dq
h
h
q
Fragmentation function describes the
process of hadronization of a parton
Cleanest way to access FF is in e+e- qq
e+
e- q
e+
e !hX
/
X
i=q¯q
e+
e !q¯q
⇥ Dh
q
2

10. Francesca Giordano
Fragmentation processor how do the hadrons get formed?
Strictly related to quark confinement
Universal: can be used to study the
nucleon structure when combined
with SIDIS and pp data
⇒ ⇒
⇒⇒Ah
LL =
! !
!+ !
Ah
UT =
" "
" + "
⇒⇒
⇒⇒
Dq
h
h
q
Fragmentation function describes the
process of hadronization of a parton
Cleanest way to access FF is in e+e- qq
e+
e- q
e+
e !hX
/
X
i=q¯q
e+
e !q¯q
⇥ Dh
q
2

11. Francesca Giordano
Fragmentation processor how do the hadrons get formed?
Strictly related to quark confinement
Universal: can be used to study the
nucleon structure when combined
with SIDIS and pp data
⇒ ⇒
⇒⇒Ah
LL =
! !
!+ !
Ah
UT =
" "
" + "
⇒⇒
⇒⇒
Dq
h
h
q
Fragmentation function describes the
process of hadronization of a parton
Cleanest way to access FF is in e+e- qq
e+
e- q
e+
e !hX
/
X
i=q¯q
e+
e !q¯q
⇥ Dh
q
2

12. Francesca Giordano
Fragmentation processor how do the hadrons get formed?
Strictly related to quark confinement
Universal: can be used to study the
nucleon structure when combined
with SIDIS and pp data
⇒ ⇒
⇒⇒Ah
LL =
! !
!+ !
Ah
UT =
" "
" + "
⇒⇒
⇒⇒
/ Dh
q
/ Dh
qDh
g
Dq
h
h
q
Fragmentation function describes the
process of hadronization of a parton
Cleanest way to access FF is in e+e- qq
e+
e- q
e+
e !hX
/
X
i=q¯q
e+
e !q¯q
⇥ Dh
q
2

13. Francesca Giordano
Fragmentation processor how do the hadrons get formed?
Dq
h
h
qe+
e- q
e+
e !hX
/
X
i=q¯q
e+
e !q¯q
⇥ Dh
q
3

14. Francesca Giordano
Fragmentation processor how do the hadrons get formed?
Dq
h
h
qe+
e- q
e+
e !hX
/
X
i=q¯q
e+
e !q¯q
⇥ Dh
q
3

15. Francesca Giordano
Fragmentation processor how do the hadrons get formed?
Dq
h
h
qe+
e- q
e+
e !hX
/
X
i=q¯q
e+
e !q¯q
⇥ Dh
q
3

16. Francesca Giordano
Fragmentation processor how do the hadrons get formed?
Non perturbative effect:
need input from measurements!Dq
h
h
qe+
e- q
e+
e !hX
/
X
i=q¯q
e+
e !q¯q
⇥ Dh
q
3

17. Francesca Giordano
Fragmentation processor how do the hadrons get formed?
Mh
(z, Q2
) =
1
tot
d (e+
e ! hX)
dz
Non perturbative effect:
need input from measurements!Dq
h
h
qe+
e- q
e+
e !hX
/
X
i=q¯q
e+
e !q¯q
⇥ Dh
q
3

18. Francesca Giordano
Fragmentation processor how do the hadrons get formed?
/
X
i=q,¯q
e2
i ⇥ Dh
i (z, Q2
)/
X
i=q¯q
e2
i
Dh
q Dh
¯q
Mh
(z, Q2
) =
1
tot
d (e+
e ! hX)
dz
Non perturbative effect:
need input from measurements!
LO
Dq
h
h
qe+
e- q
e+
e !hX
/
X
i=q¯q
e+
e !q¯q
⇥ Dh
q
3

19. Francesca Giordano
Fragmentation processor how do the hadrons get formed?
/
X
i=q,¯q
e2
i ⇥ Dh
i (z, Q2
)/
X
i=q¯q
e2
i
Dh
q Dh
¯q
Dh
g
Mh
(z, Q2
) =
1
tot
d (e+
e ! hX)
dz
Non perturbative effect:
need input from measurements!
LO
/
X
i=q,¯q,g
CNLO
i ⌦ Dh
i (z, Q2
)
NLO
Dq
h
h
qe+
e- q
e+
e !hX
/
X
i=q¯q
e+
e !q¯q
⇥ Dh
q
3

20. Francesca Giordano
e+e- data
4

21. Francesca Giordano
e+e- data
Hirai, Kumano, Nagai, Sudoh
Phys. Rev. D 75, 094009 (2007)
2007: First unpolarized FF extraction
with estimated uncertainties!
4

22. Francesca Giordano
Global analises:
e+e-, SIDIS, pp: (including uncertainties)
e+e-, pp:
e+e- data
Hirai, Kumano, Nagai, Sudoh
Phys. Rev. D 75, 094009 (2007)
Albino, Kniehl, Kramer
Nucl. Phys. B 803, 42 (2008)
2007: First unpolarized FF extraction
with estimated uncertainties!
de Florian, Sassot, Stratmann
Phys. Rev. D 75, 114010 (2007) and
Phys. Rev D 76, 074033 (2007)
Epele, Llubaroff, Sassot, Stratmann
arXiv:1209.3240 [hep-ph]
4

23. Francesca Giordano
e+e- data
Dπ+
i
Epele, Llubaroff, Sassot, Stratmann
arXiv:1209.3240 [hep-ph]
5

24. Francesca Giordano
e+e- data
Dπ+
i
Epele, Llubaroff, Sassot, Stratmann
arXiv:1209.3240 [hep-ph]
Few data at high z
5

25. Francesca Giordano
e+e- data
Dπ+
i
Epele, Llubaroff, Sassot, Stratmann
arXiv:1209.3240 [hep-ph]
Few data at low
energy
Few data at high z
5

26. Francesca Giordano
e+e- data
Dπ+
i
Epele, Llubaroff, Sassot, Stratmann
arXiv:1209.3240 [hep-ph]
Few data at low
energy
Few data at high z
5

27. Francesca Giordano
KEKB
BELLE @ KEKB
Francesca Giordano 6

28. Francesca Giordano
KEKB
Asymmetric
e+ (3.5 GeV) e- (8 GeV) collider
BELLE @ KEKB
Francesca Giordano 6

29. Francesca Giordano
BELLE @ KEKB
8 GeV e−
3.5 GeV e+
Asymmetric e+ e- collider
On resonance: √s = 10.58 GeV (e+ e- → Y(4S) → BB)
Off resonance √s = 10.52 GeV (e+ e- → qq (q=u,d,s,c))
7

30. Francesca Giordano
BELLE @ KEKB
8 GeV e−
3.5 GeV e+
Asymmetric e+ e- collider
On resonance: √s = 10.58 GeV (e+ e- → Y(4S) → BB)
Off resonance √s = 10.52 GeV (e+ e- → qq (q=u,d,s,c))
220 *106 events
7

31. Francesca Giordano
BELLE @ KEKB
Central Drift
Chamber
Si vertex
SC solenoid
1.5T
8 GeV e−
3.5 GeV e+
Asymmetric e+ e- collider
On resonance: √s = 10.58 GeV (e+ e- → Y(4S) → BB)
Off resonance √s = 10.52 GeV (e+ e- → qq (q=u,d,s,c)) Good tracking ϴ [170;1500]
220 *106 events
7

32. Francesca Giordano
BELLE @ KEKB
μ / KL
detection
Central Drift
Chamber
CsI
Aerogel Cherenkov
n=1.015~1.030
Si vertex
TOF
SC solenoid
1.5T
8 GeV e−
3.5 GeV e+
Asymmetric e+ e- collider
On resonance: √s = 10.58 GeV (e+ e- → Y(4S) → BB)
Off resonance √s = 10.52 GeV (e+ e- → qq (q=u,d,s,c)) Good tracking ϴ [170;1500]
Good PID: ε(π) 90%
ε(K) 85%
220 *106 events
7

33. Francesca Giordano
Multiplicities extraction
Mh
(z, Q2
) =
1
tot
d (e+
e ! hX)
dz
8

34. Francesca Giordano
Multiplicities extraction
Mh
(z, Q2
) =
1
tot
d (e+
e ! hX)
dz
1
Ntot
Mi
(z) =
i = ⇡, K
8

35. Francesca Giordano
Multiplicities extraction
Mh
(z, Q2
) =
1
tot
d (e+
e ! hX)
dz
1
Ntot
Nj,raw
(zm)Mi
(z) =
i = ⇡, K
8

36. Francesca Giordano
P 1
ijS 1
zzm
✏i
impu(zm)✏i
joint(z)✏i
ISR/F SR(z)
Multiplicities extraction
Mh
(z, Q2
) =
1
tot
d (e+
e ! hX)
dz
1
Ntot
Nj,raw
(zm)Mi
(z) =
i = ⇡, K
8

37. Francesca Giordano
P 1
ijS 1
zzm
✏i
impu(zm)✏i
joint(z)✏i
ISR/F SR(z)
Multiplicities extraction
Perfect PID ➯ j = i
1
Ntot
Nj,raw
(zm)Mi
(z) =
i = ⇡, K
8

38. Francesca Giordano
P 1
ijS 1
zzm
✏i
impu(zm)✏i
joint(z)✏i
ISR/F SR(z)
Multiplicities extraction
Perfect PID ➯ j = i
ε(π) 90% ε(K) 85%
BUT!!
1
Ntot
Nj,raw
(zm)Mi
(z) =
i = ⇡, K
8

39. Francesca Giordano
P 1
ijS 1
zzm
✏i
impu(zm)✏i
joint(z)✏i
ISR/F SR(z)
Multiplicities extraction
Perfect PID ➯ j = i
ε(π) 90% ε(K) 85%
⇡
⇡
90%
BUT!!
1
Ntot
Nj,raw
(zm)Mi
(z) =
i = ⇡, K
8

40. Francesca Giordano
P 1
ijS 1
zzm
✏i
impu(zm)✏i
joint(z)✏i
ISR/F SR(z)
Multiplicities extraction
Perfect PID ➯ j = i
ε(π) 90% ε(K) 85%
⇡
e, µ, K, p
⇡
90%
10%
BUT!!
1
Ntot
Nj,raw
(zm)Mi
(z) =
i = ⇡, K
8

41. Francesca Giordano
P 1
ijS 1
zzm
✏i
impu(zm)✏i
joint(z)✏i
ISR/F SR(z)
Multiplicities extraction
Perfect PID ➯ j = i
ε(π) 90% ε(K) 85%
⇡
e, µ, K, p
⇡
90%
10%
Pij =
0
B
B
B
B
@
Pe!e Pe!µ Pe!⇡ Pe!K Pe!p
Pµ!e Pµ!µ Pµ!⇡ Pµ!K Pµ!p
P⇡!e P⇡!µ P⇡!⇡ P⇡!K P⇡!p
PK!e PK!µ PK!⇡ PK!K PK!p
Pp!e Pp!mu Pp!⇡ Pp!K Pp!p
1
C
C
C
C
A
Nj,raw
= PijNi
BUT!!
1
Ntot
Nj,raw
(zm)Mi
(z) =
j = e, µ, ⇡, K, p
i = ⇡, K
8

42. Francesca Giordano
P 1
ijS 1
zzm
✏i
impu(zm)✏i
joint(z)✏i
ISR/F SR(z)
Multiplicities extraction
Perfect PID ➯ j = i
ε(π) 90% ε(K) 85%
⇡
e, µ, K, p
⇡
90%
10%
Pij =
0
B
B
B
B
@
Pe!e Pe!µ Pe!⇡ Pe!K Pe!p
Pµ!e Pµ!µ Pµ!⇡ Pµ!K Pµ!p
P⇡!e P⇡!µ P⇡!⇡ P⇡!K P⇡!p
PK!e PK!µ PK!⇡ PK!K PK!p
Pp!e Pp!mu Pp!⇡ Pp!K Pp!p
1
C
C
C
C
A
Nj,raw
= PijNi
BUT!!
1
Ntot
Nj,raw
(zm)Mi
(z) =
j = e, µ, ⇡, K, p
i = ⇡, K
Ni
= P 1
ij Nj,raw
8

43. Francesca Giordano
P 1
ijS 1
zzm
✏i
impu(zm)✏i
joint(z)✏i
ISR/F SR(z)
Multiplicities extraction
Perfect PID ➯ j = i
ε(π) 90% ε(K) 85%
⇡
e, µ, K, p
⇡
90%
10%
Pij =
0
B
B
B
B
@
Pe!e Pe!µ Pe!⇡ Pe!K Pe!p
Pµ!e Pµ!µ Pµ!⇡ Pµ!K Pµ!p
P⇡!e P⇡!µ P⇡!⇡ P⇡!K P⇡!p
PK!e PK!µ PK!⇡ PK!K PK!p
Pp!e Pp!mu Pp!⇡ Pp!K Pp!p
1
C
C
C
C
A
Nj,raw
= PijNi
BUT!!
1
Ntot
Nj,raw
(zm)P 1
ijMi
(z) =
j = e, µ, ⇡, K, p
i = ⇡, K
Ni
= P 1
ij Nj,raw
8

44. Francesca Giordano
ijHow to determine the Pij?
9

45. Francesca Giordano
ijHow to determine the Pij?
From data!
9

46. Francesca Giordano
ijHow to determine the Pij?
D⇤ D0
⇡+
slowFrom data!
9

47. Francesca Giordano
ijHow to determine the Pij?
D⇤ D0
K
⇡+
slow ⇡+
fastFrom data!
9

48. Francesca Giordano
ijHow to determine the Pij?
D⇤ D0
K
⇡+
slow ⇡+
fast
m⇤
D m0
D
Negative hadron = .
(no PID likelihood used)
K
From data!
9

49. Francesca Giordano
ijHow to determine the Pij?
D⇤ D0
K
⇡+
slow ⇡+
fast
m⇤
D m0
D
Negative hadron = .
(no PID likelihood used)
K
Negative hadron
identified as .⇡
m⇤
D m0
D
From data!
9

50. Francesca Giordano
ijHow to determine the Pij?
D⇤ D0
K
⇡+
slow ⇡+
fast
m⇤
D m0
D
Negative hadron = .
(no PID likelihood used)
K
Negative hadron
identified as .⇡
m⇤
D m0
D PK !⇡
From data!
9

51. Francesca Giordano
ijHow to determine the Pij?
D⇤ D0
K
⇡+
slow ⇡+
fast
m⇤
D m0
D
Negative hadron = .
(no PID likelihood used)
K
Negative hadron
identified as .⇡
m⇤
D m0
D PK !⇡
K
PK !K
From data!
9

52. Francesca Giordano
ijHow to determine the Pij?
D⇤ D0
K
⇡+
slow ⇡+
fast
m⇤
D m0
D
Negative hadron = .
(no PID likelihood used)
K
Negative hadron
identified as .⇡
m⇤
D m0
D PK !⇡
K
PK !K
PK !¯p
¯p
From data!
9

53. Francesca Giordano
ijHow to determine the Pij?
D⇤ D0
K
⇡+
slow ⇡+
fast
m⇤
D m0
D
Negative hadron = .
(no PID likelihood used)
K
Negative hadron
identified as .⇡
m⇤
D m0
D PK !⇡
µ
PK !µ
K
PK !K
PK !¯p
¯p
From data!
9

54. Francesca Giordano
ijHow to determine the Pij?
D⇤ D0
K
⇡+
slow ⇡+
fast
m⇤
D m0
D
Negative hadron = .
(no PID likelihood used)
K
Negative hadron
identified as .⇡
m⇤
D m0
D PK !⇡
eµ
PK !e
PK !µ
K
PK !K
PK !¯p
¯p
From data!
9

55. Francesca Giordano
2D correction
Detector performance depends on momentum
and scattering angle!
10

56. Francesca Giordano
2D correction
Detector performance depends on momentum
and scattering angle!
Pij Pij(p, ✓)➬
10

57. Francesca Giordano
2D correction
Detector performance depends on momentum
and scattering angle!
Bin
#
plab [GeV/c]
bin ranges
0 [0.5,0.65)
1 [0.65,0.8)
2 [0.8,1.0)
3 [1.0,1.2)
4 [1.2,1.4)
5 [1.4,1.6)
6 [1.6,1.8)
7 [1.8,2.0)
8 [2.0,2.2)
9 [2.2,2.4)
10 [2.4,2.6)
11 [2.6,2.8)
12 [2.8,3.0)
13 [3.0,3.5)
14 [3.5,4.0)
15 [4.0,5.0)
16 [5.0,8.0)
Bin
#
cos𝜽lab
bin ranges
0 [-0.511,-0.300)
1 [-0.300,-0.152)
2 [-0.512,0.017)
3 [0.017,0.209)
4 [0.209,0.355)
5 [0.355,0.435)
6 [0.435,0.542)
7 [0.542,0.692)
8 [0.692,0.842)
Pij Pij(p, ✓)➬
10

58. Francesca Giordano
2D correction
Detector performance depends on momentum
and scattering angle!
Bin
#
plab [GeV/c]
bin ranges
0 [0.5,0.65)
1 [0.65,0.8)
2 [0.8,1.0)
3 [1.0,1.2)
4 [1.2,1.4)
5 [1.4,1.6)
6 [1.6,1.8)
7 [1.8,2.0)
8 [2.0,2.2)
9 [2.2,2.4)
10 [2.4,2.6)
11 [2.6,2.8)
12 [2.8,3.0)
13 [3.0,3.5)
14 [3.5,4.0)
15 [4.0,5.0)
16 [5.0,8.0)
Bin
#
cos𝜽lab
bin ranges
0 [-0.511,-0.300)
1 [-0.300,-0.152)
2 [-0.512,0.017)
3 [0.017,0.209)
4 [0.209,0.355)
5 [0.355,0.435)
6 [0.435,0.542)
7 [0.542,0.692)
8 [0.692,0.842)
no PID cut e/μ PID cut π PID cut
K PID cut p PID cut Unsel.
K from D* decay for plab in [1.4,1.6) and cos𝜽lab in [0.209,0.355)
Pij Pij(p, ✓)➬
10

59. Francesca Giordano
2D correction
no PID cut e/μ PID cut π PID cut
K PID cut p PID cut Unsel.
K from D* decay for plab in [1.4,1.6) and cos𝜽lab in [0.209,0.355)
0
B
B
B
B
@
Pe!e Pe!µ Pe!⇡ Pe!K Pe!p
Pµ!e Pµ!µ Pµ!⇡ Pµ!K Pµ!p
P⇡!e P⇡!µ P⇡!⇡ P⇡!K P⇡!p
PK!e PK!µ PK!⇡ PK!K PK!p
Pp!e Pp!mu Pp!⇡ Pp!K Pp!p
1
C
C
C
C
A
11

60. Francesca Giordano
2D correction
no PID cut e/μ PID cut π PID cut
K PID cut p PID cut Unsel.
K from D* decay for plab in [1.4,1.6) and cos𝜽lab in [0.209,0.355)
0
B
B
B
B
@
Pe!e Pe!µ Pe!⇡ Pe!K Pe!p
Pµ!e Pµ!µ Pµ!⇡ Pµ!K Pµ!p
P⇡!e P⇡!µ P⇡!⇡ P⇡!K P⇡!p
PK!e PK!µ PK!⇡ PK!K PK!p
Pp!e Pp!mu Pp!⇡ Pp!K Pp!p
1
C
C
C
C
A
11

61. Francesca Giordano
2D correction
no PID cut e/μ PID cut π PID cut
K PID cut p PID cut Unsel.
K from D* decay for plab in [1.4,1.6) and cos𝜽lab in [0.209,0.355)
0
B
B
B
B
@
Pe!e Pe!µ Pe!⇡ Pe!K Pe!p
Pµ!e Pµ!µ Pµ!⇡ Pµ!K Pµ!p
P⇡!e P⇡!µ P⇡!⇡ P⇡!K P⇡!p
PK!e PK!µ PK!⇡ PK!K PK!p
Pp!e Pp!mu Pp!⇡ Pp!K Pp!p
1
C
C
C
C
A
pπ, K -> j from D* decay
pπ, p -> j from Λ decay
pe, µ -> j from J/ψ decay
11

62. Francesca Giordano
2D correction0
B
B
B
B
@
Pe!e Pe!µ Pe!⇡ Pe!K Pe!p
Pµ!e Pµ!µ Pµ!⇡ Pµ!K Pµ!p
P⇡!e P⇡!µ P⇡!⇡ P⇡!K P⇡!p
PK!e PK!µ PK!⇡ PK!K PK!p
Pp!e Pp!mu Pp!⇡ Pp!K Pp!p
1
C
C
C
C
A
pπ, K -> j from D* decay
pπ, p -> j from Λ decay
pe, µ -> j from J/ψ decay
12

63. Francesca Giordano
2D correction0
B
B
B
B
@
Pe!e Pe!µ Pe!⇡ Pe!K Pe!p
Pµ!e Pµ!µ Pµ!⇡ Pµ!K Pµ!p
P⇡!e P⇡!µ P⇡!⇡ P⇡!K P⇡!p
PK!e PK!µ PK!⇡ PK!K PK!p
Pp!e Pp!mu Pp!⇡ Pp!K Pp!p
1
C
C
C
C
A
pπ, K -> j from D* decay
pπ, p -> j from Λ decay
pe, µ -> j from J/ψ decay
12

64. Francesca Giordano
PID correction
⇡
K
< 15%
30% >
13

65. Francesca Giordano
P 1
ijS 1
zzm
✏i
impu(zm)✏i
joint(z)✏i
ISR/F SR(z)
Impurity correction
Correction for hadrons
generated by ττ, 2γ
qqbarMC
π-
1
Ntot
Nj,raw
(zm)P 1
ij✏i
impu(zm)Mi
(z) =
i = ⇡, K
14

66. Francesca Giordano
P 1
ijS 1
zzm
✏i
impu(zm)✏i
joint(z)✏i
ISR/F SR(z)
Impurity correction
Correction for hadrons
generated by ττ, 2γ
qqbarMC
π-
yields from qq
total yields
1
Ntot
Nj,raw
(zm)P 1
ij✏i
impu(zm)Mi
(z) =
i = ⇡, K
14

67. Francesca Giordano
P 1
ijS 1
zzm
✏i
impu(zm)✏i
joint(z)✏i
ISR/F SR(z)
Smearing correction
Detector smearing
correction
1
Ntot
Nj,raw
(zm)P 1
ijS 1
zzm
✏i
impu(zm)Mi
(z) =
i = ⇡, K
➬zmz
15

68. Francesca Giordano
P 1
ijS 1
zzm
✏i
impu(zm)✏i
joint(z)✏i
ISR/F SR(z)
Smearing correction
Detector smearing
correction
1
Ntot
Nj,raw
(zm)P 1
ijS 1
zzm
✏i
impu(zm)Mi
(z) =
i = ⇡, K
➬zmz
studied. For most z bins, bin contents
value of all particles smeared to z >
systematic uncertainties are found to be
smeared to z > 1.0. Thus no addition
z > 1.0 is assigned.
Figure 39 shows ratios of negativel
versus z, after and before the smearin
uncertainties for each yield are added
the ratio. As can be seen from the plot
all values z within their uncertainties.
(a)
before/after
15

69. Francesca Giordano
P 1
ijS 1
zzm
✏i
impu(zm)✏i
joint(z)✏i
ISR/F SR(z)
ISR/FSR correction
1
Ntot
Nj,raw
(zm)P 1
ijS 1
zzm
✏i
impu(zm)✏i
ISR/F SR(z)Mi
(z) =
e+
e-
q
q
i = ⇡, K
Emission of a real photon changes the
fragmentation energy scale
16

70. Francesca Giordano
P 1
ijS 1
zzm
✏i
impu(zm)✏i
joint(z)✏i
ISR/F SR(z)
ISR/FSR correction
1
Ntot
Nj,raw
(zm)P 1
ijS 1
zzm
✏i
impu(zm)✏i
ISR/F SR(z)Mi
(z) =
e+
e-
q
q
i = ⇡, K
Emission of a real photon changes the
fragmentation energy scale
16

71. Francesca Giordano
P 1
ijS 1
zzm
✏i
impu(zm)✏i
joint(z)✏i
ISR/F SR(z)
ISR/FSR correction
1
Ntot
Nj,raw
(zm)P 1
ijS 1
zzm
✏i
impu(zm)✏i
ISR/F SR(z)Mi
(z) =
e+
e-
q
q
i = ⇡, K
Emission of a real photon changes the
fragmentation energy scale
16

72. Francesca Giordano
P 1
ijS 1
zzm
✏i
impu(zm)✏i
joint(z)✏i
ISR/F SR(z)
ISR/FSR correction
1
Ntot
Nj,raw
(zm)P 1
ijS 1
zzm
✏i
impu(zm)✏i
ISR/F SR(z)Mi
(z) =
e+
e-
q
q
i = ⇡, K
Emission of a real photon changes the
fragmentation energy scale
16

73. Francesca Giordano
P 1
ijS 1
zzm
✏i
impu(zm)✏i
joint(z)✏i
ISR/F SR(z)
ISR/FSR correction
1
Ntot
Nj,raw
(zm)P 1
ijS 1
zzm
✏i
impu(zm)✏i
ISR/F SR(z)Mi
(z) =
produced in events whose center-of-mass energy is lower th
Thus the particle fractions are seen to decrease versus z. The
the pion and kaon curve can most likely be related to mass
The fractions shown in Figure 67 represent the fractions
z bin which are excluded from the analysis to limit ISR/F
measured yields. The assumption in this analysis step is
particles from events with hard QED effects is the same in
experimental data.
e+
e-
q
q
i = ⇡, K
Emission of a real photon changes the
fragmentation energy scale
> 0.5% change in cms energy
16

74. Francesca Giordano
P 1
ijS 1
zzm
✏i
impu(zm)✏i
joint(z)✏i
ISR/F SR(z)
ISR/FSR correction
1
Ntot
Nj,raw
(zm)P 1
ijS 1
zzm
✏i
impu(zm)✏i
ISR/F SR(z)Mi
(z) =
produced in events whose center-of-mass energy is lower th
Thus the particle fractions are seen to decrease versus z. The
the pion and kaon curve can most likely be related to mass
The fractions shown in Figure 67 represent the fractions
z bin which are excluded from the analysis to limit ISR/F
measured yields. The assumption in this analysis step is
particles from events with hard QED effects is the same in
experimental data.
e+
e-
q
q
i = ⇡, K
Emission of a real photon changes the
fragmentation energy scale
> 0.5% change in cms energy
12 different MC
tunes studied
16

75. Francesca Giordano
More corrections
1
Ntot
Nj,raw
(zm)Mi
(z) =
i = ⇡, K
Correction for particles lost due to
decay in flight
interaction with detectors
detector/tracking inefficiencies
geometric/kinematic acceptance
P 1
ijS 1
zzm
✏i
impu(zm)✏i
ISR/F SR(z)✏i
joint(z)
17

76. Francesca Giordano
More corrections
1
Ntot
Nj,raw
(zm)Mi
(z) =
i = ⇡, K
Correction for particles lost due to
decay in flight
interaction with detectors
detector/tracking inefficiencies
geometric/kinematic acceptance } < 10%
P 1
ijS 1
zzm
✏i
impu(zm)✏i
ISR/F SR(z)✏i
joint(z)
17

77. Francesca Giordano
Preliminary multiplicities
1
Ntot
Nj,raw
(zm)Mi
(z) =
i = ⇡, K
P 1
ijS 1
zzm
✏i
impu(zm)✏i
ISR/F SR(z)✏i
joint(z)
Preliminary
18

78. Francesca Giordano
Comparison with world data
PreliminaryPreliminary
19

79. Francesca Giordano
Relative uncertainties
PreliminaryPreliminary
20

80. Francesca Giordano
Outlook
Final pion and kaon multiplicities ready, paper
submission by the end of the year
21

81. Francesca Giordano
Outlook
Final pion and kaon multiplicities ready, paper
submission by the end of the year
kT spin-averaged FF for single and di-hadron
kT Collins FF for single and di-hadron
chiral-odd FF
More high precision measurements to come
21

82. Francesca Giordano
Outlook
Improved Kaon Identification allow for more precise
measurements
22

83. Francesca Giordano
Outlook
Pij =
0
B
B
B
B
@
Pe!e Pe!µ Pe!⇡ Pe!K Pe!p
Pµ!e Pµ!µ Pµ!⇡ Pµ!K Pµ!p
P⇡!e P⇡!µ P⇡!⇡ P⇡!K P⇡!p
PK!e PK!µ PK!⇡ PK!K PK!p
Pp!e Pp!mu Pp!⇡ Pp!K Pp!p
1
C
C
C
C
A
Ni
= P 1
ij Nj,raw
Improved Kaon Identification allow for more precise
measurements
22

84. Francesca Giordano
Outlook
Pij =
0
B
B
B
B
@
Pe!e Pe!µ Pe!⇡ Pe!K Pe!p
Pµ!e Pµ!µ Pµ!⇡ Pµ!K Pµ!p
P⇡!e P⇡!µ P⇡!⇡ P⇡!K P⇡!p
PK!e PK!µ PK!⇡ PK!K PK!p
Pp!e Pp!mu Pp!⇡ Pp!K Pp!p
1
C
C
C
C
A
Ni
= P 1
ij Nj,raw
Improved Kaon Identification allow for more precise
measurements
Kaon Interference FF
22

85. Francesca Giordano
-0.15
-0.1
-0.05
0
0.05
0.1
0.15
0.2
-0.15
-0.1
-0.05
0
0.05
0.1
0.15
0.2
0.2 0.4 0.6 0.8
A12
0.2<z1<0.3
K
KK
0.3<z1<0.5
z2
A12
0.5<z1<0.7
z2
0.7<z1<1
0.2 0.4 0.6 0.8
Outlook
Improved Kaon Identification allow for more precise
measurements
Kaon Collins FF
Kaon Interference FF
5
FIG. 2: Definition of the azimuthal angles φ1 and φ2 of the
two hadrons, between the scattering plane and their transverse
momenta Phi⊥ around the thrust axis ˆn. The angle θ is defined
as the angle between the lepton axis and the thrust axis.
momentum of the quark-antiquark pair is known. The
quark directions are, however, not accessible to a direct
measurement and are thus approximated by the thrust
axis. The thrust axis ˆn maximizes the event shape vari-
able thrust:
T
max
= h |PCMS
h · ˆn|
h |PCMS
h |
, (3)
FIG. 3: Definition of the azimuthal angle φ0 formed between
the planes defined by the lepton momenta and that of one
hadron and the second hadron’s transverse momentum Ph1⊥
relative to the first hadron.
fragmentation function; the charge-conjugate term has
been omitted. The fragmentation functions do not ap-
pear in the cross section directly but as the zeroth ([0])
or first ([1]) moments in the absolute value of the corre-
sponding transverse momenta [26]:
F[n]
(z) = d|kT |2 |kT |
M
n
F(z, k2
T ) . (6)
e+
e-
𝛑
𝛑
22

86. Francesca Giordano
-0.15
-0.1
-0.05
0
0.05
0.1
0.15
0.2
-0.15
-0.1
-0.05
0
0.05
0.1
0.15
0.2
0.2 0.4 0.6 0.8
A12
0.2<z1<0.3
K
KK
0.3<z1<0.5
z2
A12
0.5<z1<0.7
z2
0.7<z1<1
0.2 0.4 0.6 0.8
Outlook
Improved Kaon Identification allow for more precise
measurements
Kaon Collins FF
Kaon Interference FF
5
FIG. 2: Definition of the azimuthal angles φ1 and φ2 of the
two hadrons, between the scattering plane and their transverse
momenta Phi⊥ around the thrust axis ˆn. The angle θ is defined
as the angle between the lepton axis and the thrust axis.
momentum of the quark-antiquark pair is known. The
quark directions are, however, not accessible to a direct
measurement and are thus approximated by the thrust
axis. The thrust axis ˆn maximizes the event shape vari-
able thrust:
T
max
= h |PCMS
h · ˆn|
h |PCMS
h |
, (3)
FIG. 3: Definition of the azimuthal angle φ0 formed between
the planes defined by the lepton momenta and that of one
hadron and the second hadron’s transverse momentum Ph1⊥
relative to the first hadron.
fragmentation function; the charge-conjugate term has
been omitted. The fragmentation functions do not ap-
pear in the cross section directly but as the zeroth ([0])
or first ([1]) moments in the absolute value of the corre-
sponding transverse momenta [26]:
F[n]
(z) = d|kT |2 |kT |
M
n
F(z, k2
T ) . (6)
e+
e-
𝛑
K
e+
e-
𝛑
𝛑
22

87. Francesca Giordano
-0.15
-0.1
-0.05
0
0.05
0.1
0.15
0.2
-0.15
-0.1
-0.05
0
0.05
0.1
0.15
0.2
0.2 0.4 0.6 0.8
A12
0.2<z1<0.3
K
KK
0.3<z1<0.5
z2
A12
0.5<z1<0.7
z2
0.7<z1<1
0.2 0.4 0.6 0.8
Outlook
Improved Kaon Identification allow for more precise
measurements
Kaon Collins FF
Kaon Interference FF
5
FIG. 2: Definition of the azimuthal angles φ1 and φ2 of the
two hadrons, between the scattering plane and their transverse
momenta Phi⊥ around the thrust axis ˆn. The angle θ is defined
as the angle between the lepton axis and the thrust axis.
momentum of the quark-antiquark pair is known. The
quark directions are, however, not accessible to a direct
measurement and are thus approximated by the thrust
axis. The thrust axis ˆn maximizes the event shape vari-
able thrust:
T
max
= h |PCMS
h · ˆn|
h |PCMS
h |
, (3)
FIG. 3: Definition of the azimuthal angle φ0 formed between
the planes defined by the lepton momenta and that of one
hadron and the second hadron’s transverse momentum Ph1⊥
relative to the first hadron.
fragmentation function; the charge-conjugate term has
been omitted. The fragmentation functions do not ap-
pear in the cross section directly but as the zeroth ([0])
or first ([1]) moments in the absolute value of the corre-
sponding transverse momenta [26]:
F[n]
(z) = d|kT |2 |kT |
M
n
F(z, k2
T ) . (6)
e+
e-
𝛑
K
e+
e-
K
K
e+
e-
𝛑
𝛑
22

88. Francesca Giordano
-0.15
-0.1
-0.05
0
0.05
0.1
0.15
0.2
-0.15
-0.1
-0.05
0
0.05
0.1
0.15
0.2
0.2 0.4 0.6 0.8
A12
0.2<z1<0.3
K
KK
0.3<z1<0.5
z2
A12
0.5<z1<0.7
z2
0.7<z1<1
0.2 0.4 0.6 0.8
Outlook
Improved Kaon Identification allow for more precise
measurements
Kaon Collins FF
Kaon Interference FF
5
FIG. 2: Definition of the azimuthal angles φ1 and φ2 of the
two hadrons, between the scattering plane and their transverse
momenta Phi⊥ around the thrust axis ˆn. The angle θ is defined
as the angle between the lepton axis and the thrust axis.
momentum of the quark-antiquark pair is known. The
quark directions are, however, not accessible to a direct
measurement and are thus approximated by the thrust
axis. The thrust axis ˆn maximizes the event shape vari-
able thrust:
T
max
= h |PCMS
h · ˆn|
h |PCMS
h |
, (3)
FIG. 3: Definition of the azimuthal angle φ0 formed between
the planes defined by the lepton momenta and that of one
hadron and the second hadron’s transverse momentum Ph1⊥
relative to the first hadron.
fragmentation function; the charge-conjugate term has
been omitted. The fragmentation functions do not ap-
pear in the cross section directly but as the zeroth ([0])
or first ([1]) moments in the absolute value of the corre-
sponding transverse momenta [26]:
F[n]
(z) = d|kT |2 |kT |
M
n
F(z, k2
T ) . (6)
e+
e-
𝛑
K
e+
e-
K
K
e+
e-
𝛑
𝛑
Thanks!
22

89. Francesca Giordano
Who’s working on what...
RIKEN/RBRC Illinois Indiana Bilbao Titech
Unpol FFs
e+e- ⟶hX:
e+e-⟶(hh) X,
(h)(h)X, hhX:
Unpol kT
dependence
Charged di-
hadrons: Ralf
Seidl
Charged hadrons
(π,K,P):
Martin Leitgab
Martin Leitgab
π0 ,η0:
Hairong Li
Charlotte Hulse
Collins FFs
e+e-⟶(h)(h)X:
kT dependence:
πρ0: Ralf Seidl
ππ: Ralf Seidl
πK,KK: Francesca
Giordano
Francesca Giordano
ππ0 : Hairong Li
Charlotte Hulse
Interference FF:
e+e-⟶(hh)(hh)X
Charged ππ :
Ralf Seidl
Charged ππ:
Anselm Vossen
ππ0 : Anselm
Vossen
Charged πK,
KK:
Nori-aki
Kobayashi
Local P :
Λ(polFF,SSA) :
Jet-jet asy:
Anselm Vossen
23