July 15, 2020

Overviewof2020a and b Run
February 25 - July 1, 2020

Y. Ohnishi

Operation Summary
3/16
3/24
LER CW LER CW
40%
60%

4/24
HER CW40%

D02 pump motor
6/1→ QCS quench LER started on Feb. 25
LER CW
HER started on March. 2
80%

Max. current
LER : 770 mA
HER : 660 mA

HER CW
modification
LER
wiggler PS
troubleESR23 PS
troublech. XYHigh εx
6/5, 6/8,
5/21
6/22, 6/24

skew Q
inj. region
6/26

Peak luminosity : 2.4 x 1034 cm-2s-1
Int. luminosity/day : 1.346 / 1.498 fb-1
5/11-5/14
off-resonance

6/10-6/17
off-resonanceLER :<latexit sha1_base64="1DwWelLXipaN96zadZFDZks24IQ=">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</latexit>

Beta squeezing
6/23

⇤
⇤
/
x
y = 80 mm/1 mm! x⇤ / y⇤ = 60 mm/0.8 mm

HER :<latexit sha1_base64="dKKvO/vz5Wiz6Z2lAgdIR2u9F7Q=">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</latexit><latexit sha1_base64="XyJc8QSEWUkZ8W56OraYfFW6K6U=">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</latexit>⇤⇤x / y = 60 mm/1 mm! x⇤ / y⇤ = 60 mm/0.8 mm<latexit sha1_base64="XyJc8QSEWUkZ8W56OraYfFW6K6U=">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</latexit>

Remarks : ECL online luminosity does not include trigger veto dead time before May 7.

2

Major Issues
Crab waist*1 by using the local chromaticity correction sextupoles (FCC-ee style*2)
Chromatic X-Y coupling correction in the LER by using the rotatable sextupoles (24 magnets)
Beta squeezing from 1 mm to 0.8 mm in the vertical direction.
High emittance optics in the LER (dispersion adjustment in the NIKKO wiggler section)
εx : 1.5 nm to 4.0 nm
Effect of horizontal angle at the IP in the HER
Large angle is needed to reduce SR on PXD (the most inner detector) from injected beams,
however horizontal dispersions remain in the whole ring. We compared 0.59 mrad and 0.04
mrad for luminosity performance.
Skew quadrupole (small permanent magnet) was installed between injection kickers to reducevertical orbit oscillations (due to X-Y coupling) in the LER. The luminosity degradation at
injections was reduced.
*1 P. Raimondi et al., SuperB CDR

3*2 K. Oide et al., ICHEP 2016

Beta Squeezing
Vacuum scrubbing

detunedoptics6/23
80 mm → 60 mm

100 mm → 80 mm

LER
8 mm →
3 mm →
2 mm

1 mm → 0.8 mm→ 1 mm

80 mm → 60 mm

HER
detunedoptics8 mm →
3 mm →
2 mm

1 mm → 0.8 mm→ 1 mmLuminosity
General formula:⇤⌃x =N + N nb f 0
L=2⇡⌃⇤x ⌃⇤y=N + N nb f 0
q
=
p
2 + 2
⇤ +"
2⇡ x
"
y+ y+
y
z+
z

<latexit sha1_base64="+NeV12zZzDatzqeYiye4CX8Qio8=">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</latexit>⇤
y<latexit sha1_base64="o6dBj4YUW/wBCTh4r1YHqfLLeGQ=">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</latexit>

To avoid hourglass effect:⇤y > ˜z =x<latexit sha1_base64="WOvkTa8oluuZ0xkpwvpnjJP/aLQ=">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</latexit><latexit sha1_base64="g7C1lDk5I5l7P4XFqXxDhFONfls=">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</latexit>

⇤
x =

=

effective
bunch length

e+

z

p

2 x

"x x⇤

<latexit sha1_base64="6BXPDLf8ahatuR48WUq98/vSS8c=">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</latexit>(4 nm)e-"x = 4.6 nm<latexit sha1_base64="AuR2s6QyuklUw0KWUPhe7xzhjtA=">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</latexit>
sha1_base64="bs8QlLljyYde7WbNFuyzJJm+ZMk=">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</latexit>
sha1_base64="F3nV1Aj691kMSHO9OVNF6k1WCRw=">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</latexit>
sha1_base64="HycS2m2gpihrM1hxMvyWPbT5hLo=">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</latexit><latexit sha1_base64="3c2PwLkxehmcbTPKT5NdmFt+Au4=">AAACj3ichVHLSiNBFD32qKPxFZ3NwGwagyKK8baIhgGHgBvd+UoiaAzdbek09ovuShgnOB/gyp0LVyMMg7h3qzCb+QEXfoK4VHDjwptOi2hQb1FVp07dc+tUleHbViiJLpuUD80trR/b2hMdnV3dPcnevnzolQNT5EzP9oIVQw+FbbkiJy1pixU/ELpj2KJgbM/U9gsVEYSW5y7LHV8UHX3LtTYtU5dMlZLDa4aQeqn6Y2R3fXg6Q+ovx1HH1Ed2lFl1Wp0kpkvJFKUpCrURaDFIIY55L/kXa9iABxNlOBBwIRnb0BFyW4UGgs9cEVXmAkZWtC+wiwRry5wlOENndpvHLV6txqzL61rNMFKbfIrNPWCligG6oGO6of90Qld0/2qtalSj5mWHZ6OuFX6pZ+/z0t27Kodnie9Pqjc9S2wiE3m12LsfMbVbmHV95efBzdLXxYHqIB3RNfv/TZf0j2/gVm7NPwti8RAJ/gDt5XM3gvx4WqO0tjCRymbir2jDF/RjiN97ClnMYh45PncfpzjDudKrTCnflGw9VWmKNZ/wLJS5Bwfnl/8=</latexit>

x

⇤2 +
x+

2 tan2z+⇤2 (1 +
x+

q

2 +
z+

x+

⇤2
x

⇤2 (1 +
x

2)+
+

+

2
z

tan

2

2)

2
z

± =
<latexit sha1_base64="xZArRz3nVTSUnRpwL3nQ5LdAJgU=">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</latexit>z+ = 4.6 mm= 5.1 mmz

Nano-beam scheme

x

z±
⇤ tan
x±

= 60 mm<latexit sha1_base64="GFUG9tG599dn3sJ7rSuCsHJGEsg=">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</latexit>

˜z+ = 305 µm/˜z = 400 µm(431 μm)x(zero current)

Piwinski angle :<latexit sha1_base64="xnqmwhYn8CWfFUm3dtrMSNDf9MQ=">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</latexit>± = 13 ⇠ 18 >> 1

Bunch lengthening is important.
For instance, impedance affects bunch lengthening.
Definition of specific luminosity

L
Lsp =Ib+ Ib nb<latexit sha1_base64="xU6+xa/exwngiHXlBQqsDWQgIKA=">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</latexit>

Horizontal emittance : "x+ = 2 nm
⇤
⇤
=
80
mm/
x+
x

q

<latexit sha1_base64="PalNH7O/ULL6ov1vDF6e/cqhJRw=">AAACjHichVG7SgNBFD2urxhfURvBRgw+QFxmNT5QA4Iglr6igkrYXcc4uC92N4EYkg8QrC2sFETE0lYrG3/Awk8QSwUbC282i6Ki3mFmzpy5586ZGc0xhOcz9lAlVdfU1tVHGqKNTc0trbG29lXPzro6T+m2YbvrmupxQ1g85Qvf4OuOy1VTM/iatjdb3l/LcdcTtrXi5x2+ZaoZS+wIXfWJSsf6Nz2RMdV0YX+wmEzIYyXTLJVKH+RQMTkqK0SmY3EmsyC6fwIlBHGEsWDHzrGJbdjQkYUJDgs+YQMqPGobUMDgELeFAnEuIRHscxQRJW2WsjhlqMTu0Zih1UbIWrQu1/QCtU6nGNRdUnajl92zC/bM7tgle2Rvv9YqBDXKXvI0axUtd9KtB53Lr/+qTJp97H6q/vTsYwcTgVdB3p2AKd9Cr+hz+0fPy5NLvYU+dsqeyP8Je2C3dAMr96KfLfKlY0TpA5Tvz/0TrA7Lyog8vJiIz0yHXxFBF3owQO89jhnMYwEpOvcQV7jGjdQiJaQpKVlJlapCTQe+hDT3Dl9vmNA=</latexit>

Vertical emittance is important.
X-Y couplings and vertical dispersion affect the vertical emittance.

⇤
x

'

q

Definition of beam-beam parameter (here)⇤
2ere y±
⇠y± =
L
± I±
<latexit sha1_base64="OZpu5F64TwXhChIIKrA2khG2q+Y=">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</latexit>Crab Waist
Waist shift :

✓

s

◆

⇤

ỹ
p˜y ⇤

<latexit sha1_base64="5Uwyq8kMBGF0T1HPLc/w4PJlpjg=">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</latexit>

=

⇤

✓

ỹ = y<latexit sha1_base64="GsVqacp8OYEMq5ounZrxV8FyL5M=">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</latexit>

HCW =<latexit sha1_base64="r/pchWhGI2BJ+FjUZ6IrcR8oHvg=">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</latexit>

1
0

⇤

s
1

◆✓

⇤

y
p⇤y

◆

x⇤
⇤
py
tan 2 x

top view

LER<latexit sha1_base64="e85ZyDyPGPx0HyVFXjetSy6JLwA=">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</latexit>

IP⇤x = 80 mm⇤
y = 1 mmx
<latexit sha1_base64="HYJvyTnt4lcaIzmLShSMHGgaLNA=">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</latexit>

2 x

HER

s=
<latexit sha1_base64="Oei1cYUj17hYOA+EAhvhGGV7ZyA=">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</latexit>

y y ⇤

y =1

x⇤
tan 2 xLER waist is sifted on the
HER beam line.

2
sin
x

Focusing

Crab waist sextupoles (-I' transfer)(opposite deviation from the reference field for each)
IP to CW sextupole :<latexit sha1_base64="hgpPHpnSdmH325nqK+s/hppK3r8=">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</latexit>

HCW =

2

sin

1
Defocusing

K2 3
H=
(x
3xy 2 )
6
K2 3/2 2 K2 p
2=x y XY
x X
6
2
x
cos
⇤
x

x =

<latexit sha1_base64="WbnPmzwOARJrFSNiabTM9uxNyw8=">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</latexit>

On the other hand, Hamiltonian of sextupole :

K2
2

cos
<latexit sha1_base64="HimKZv3pwuSMJa4rG/SRzS4hZaE=">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</latexit><latexit sha1_base64="k99qbr+fNpsS5nfEVpkKMpT+WfI=">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</latexit>

1
⇤ ⇤2
x py
2 tan 2 x

s

⇤

⇤ ⇤2
x
py
y

✓
<latexit sha1_base64="Uv6LxYwUbpA2PtpOyctLZ8d7ltQ=">AAADZ3ichVHLbtNAFL2OeRTzSAoSqsTGEDUqURqNERIIgVQJFizTlrSpOo1lTyfJqBPb8kwiguUfYMG2SKxAQgjxGWz4ARb9hIplkdiw4MaxxCMGrmXPmXPvuT53xo+kUJqQI6Nknjp95uzCOev8hYuXypXFy1sqHMWMt1kow7jje4pLEfC2FlryThRzb+hLvu0fPJzmt8c8ViIMnuhJxPeGXj8QPcE8jZS7aBhU8p5eoT7viyDx4tibpAlLrU5jx6bUbrkJotSiPNjPszQW/YG++cAqVLLUtigLFX3EpfZopISbPG1MUrtmr1IlgjmeUquQr9mFbQqcFBvBEbr1xk63/ssY3XqB3K1USZNkYc8DJwdVyKMVVt4BhX0IgcEIhsAhAI1YggcKn11wgECE3B4kyMWIRJbnkIKF2hFWcazwkD3Abx93uzkb4H7aU2Vqhn+R+MaotGGZfCbvyQn5RD6QY/L9r72SrMfUywRXf6blkVt+vrT57b+qIa4aBj9V//SsoQd3M68CvUcZM52CzfTjZ4cnm/c2lpMaeUO+oP/X5Ih8xAmC8Vf2dp1vvAILL8D587jnwdatpkOazvrt6tr9/CoW4BrcgBU87zuwBo+hBW1gxsB4YRwaL0vHZtm8ai7NSktGrrkCv4V5/QcUlOgX</latexit><latexit sha1_base64="v+SX+2t36OWSc8aO3khTccqsJoo=">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</latexit>

6

X, Y
PX,Y

◆

=

✓

cos
sin

x,y
x,y

sin
cos

x,y
x,y

◆✓

⇤

X ,Y
⇤
PX,Y

⇤

◆

Crab Waist Lattice in LER
FCC-ee style
Crab Waist(K. Oide)<latexit sha1_base64="e85ZyDyPGPx0HyVFXjetSy6JLwA=">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</latexit>

cos

-I'
<latexit sha1_base64="8YUk3O5NSybn6B+q+qTUWulTi5s=">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</latexit>

K2 > 0K2 +<latexit sha1_base64="A52PNFO5RDxNsLhupoaiVf9mHE8=">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</latexit>

sin2<latexit sha1_base64="Q7GgQGsqDncpWPK/gQsi9tLojHI=">AAAClHicSyrIySwuMTC4ycjEzMLKxs7BycXNw8vHLyAoFFacX1qUnBqanJ+TXxSRlFicmpOZlxpaklmSkxpRUJSamJuUkxqelO0Mkg8vSy0qzszPCympLEiNzU1Mz8tMy0xOLAEKxQvoxyTnF8cUFGfGVyioxRRn5qYWKugaKsTEcAE5eXFGYKlKuJRhvICygZ4BGChgMgyhDGUGKAjIF1jOEMOQwpDPkMxQypDLkMqQx1ACZOcwJDIUA2E0gyGDAUMBUCyWoRooVgRkZYLlUxlqGbiAekuBqlKBKhKBotlAMh3Ii4aK5gH5IDOLwbqTgbbkAHERUKcCg6rBVYOVBp8NThisNnhp8AenWdVgM0BuqQTSSRC9qQXx/F0Swd8J6soF0iUMGQhdeN1cwpDGYAF2aybQ7QVgEZAvkiH6y6qmfw62ClKtVjNYZPAa6P6FBjcNDgN9kFf2JXlpYGrQbAYuYAQYogc3JiPMSM/QQM8w0ETZwQQaFRwM0gxKDBrA8DZncGDwYAhgCAXaO5VhN8MRhqNMYkw2TM5MrhClTIxQPcIMKIDJDwC0EZp5</latexit>

x 'K2<latexit sha1_base64="Kst5DAi2yDd21CNt6wqfN8+LWNM=">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</latexit>

K2 /2

x '

cos
sin2

y '1

CW
sextupole

K2 /2

1

-I'

y '1

<latexit sha1_base64="Q7GgQGsqDncpWPK/gQsi9tLojHI=">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</latexit>

IP

1

CW
sextupole

K2<latexit sha1_base64="Kst5DAi2yDd21CNt6wqfN8+LWNM=">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</latexit>⇤
x = 80 mm⇤
y = 1 mm

K2 /2

K2 +
<latexit sha1_base64="A52PNFO5RDxNsLhupoaiVf9mHE8=">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</latexit>

K2 /2

crab waist withkeeping chromaticity

7

Phase Space at IP in LER
Interaction point (s = 0)s

top view↵y < 0<latexit sha1_base64="3iNe8sXcxK1LYdtACydgVFDqTpI=">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</latexit>

outer
inner

outer

x

tracking simulation<latexit sha1_base64="HYJvyTnt4lcaIzmLShSMHGgaLNA=">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</latexit>⇤↵y > 0
d y
=
ds

HER

2 x
<latexit sha1_base64="k99qbr+fNpsS5nfEVpkKMpT+WfI=">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</latexit>

LER<latexit sha1_base64="EDRe13a7iYvNPHSTZtNdoFLW6go=">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</latexit>

2↵y<latexit sha1_base64="e85ZyDyPGPx0HyVFXjetSy6JLwA=">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</latexit>⇤
x = 80 mm⇤
y = 1 mm<latexit sha1_base64="nYurSZdNHbKumzYP7AIohJjWAaA=">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</latexit>s=<latexit sha1_base64="Oei1cYUj17hYOA+EAhvhGGV7ZyA=">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</latexit>

R-side

Unit

βx

5.66

5.52

m

βy

525

521

m

cosΔψx-0.992-0.988sin2Δψy

1.0

1.0

K2 (SLYT{LR}1/2)

1.327 / 3.526

1.226 / 3.478↵y < 0<latexit sha1_base64="3iNe8sXcxK1LYdtACydgVFDqTpI=">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</latexit><latexit sha1_base64="EDRe13a7iYvNPHSTZtNdoFLW6go=">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</latexit>

Crab waist capability
80 %1704_80_1_A_YO2

L-sideNo crab waist↵y > 0x⇤
tan 2 x8

Crab waist capability 80 %1/m2

Machine Parameters (1)SuperKEKB : June 21, 2020

SuperKEKB : Dec. 8, 2019

Unit

Ring

LER

HER

LER

HER

Emittance

4.0

4.6

2.0

4.6

nm

Beam Current

712

607

467

388

mA

978

Number of bunches

783

Bunch current

0.728

0.621

0.597

0.496

mA

Lifetime

760

1270

522

1393

sec

Horizontal size σx*

17.9

16.6

12.6

16.6

μm

Vertical cap sigma Σy*

0.403

0.445

μm*1

Vertical size σy*

0.285

0.315

μm*2

Betatron tunes νx / νy44.523 / 46.581 45.531 / 43.577 44.525 / 46.590 45.534 / 43.567

βx* / βy*80 / 1.0

60 / 1.0

80 / 1.0

60 / 1.0

Piwinski angle

10.7

12.7

15.1

12.7

Crab waist ratio

80

40

0

0

Beam-Beam parameter ξy0.03890.02610.02810.0193mm%

Specific luminosity

5.43 x 1031

4.91 x 1031

cm-2s-1/mA2

Luminosity

2.40 x 1034

1.14 x 1034

cm-2s-19*1) estimated by luminosity with assuming design bunch length*2) divide *1 by √2

Machine Parameters (2)SuperKEKB : June 21, 2020

SuperKEKB : July 1, 2020

Unit

Ring

LER

HER

LER

HER

Emittance

4.0

4.6

4.0

4.6

nm

Beam Current

712

607

536

530

mA

978

Number of bunches

978Bunch current

0.728

0.621

0.548

0.542

mA

Lifetime

760

1270

600

1177

sec

Horizontal size σx*

17.9

16.6

15.5

16.6

μm

Vertical cap sigma Σy*

0.403

0.317

μm*1

Vertical size σy*

0.285

0.224

μm*2

Betatron tunes νx / νy44.523 / 46.581 45.531 / 43.577 44.525 / 46.581 45.531 / 43.574

βx* / βy*80 / 1.0

60 / 1.0

60 / 0.8

60 / 0.8

Piwinski angle

10.7

12.7

12.3

12.7

Crab waist ratio

80

40

80

40

Beam-Beam parameter ξy0.03890.02610.03450.0199mm%

Specific luminosity

5.43 x 1031

6.90 x 1031

cm-2s-1/mA2

Luminosity

2.40 x 1034

2.00 x 1034

cm-2s-110*1) estimated by luminosity with assuming design bunch length*2) divide *1 by √2

Beam size and Bunch Length

June 21, 2020

LER

HER

Unit

Beam current

712

607

mA

Bunch current

0.728

0.621

mA

Vertical size
σy*

0.27

Cap sigma y
Σy*

0.336

Cap sigma z
Σz

8.24

Σz/√2
Bunch length
σz
Σz

0.20

4.6

μm

XRM
measurementμm

XRM
meaurement

mm

5.8
5.1
6.9
11

Remarks

estimated by
Luminosity

1
L/
⇤
⌃
⌃
x z y
<latexit sha1_base64="tSpMOKu1dAlItmWvIEecSn3k6Mw=">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</latexit>mm

estimated by
Measurement of σz is
Luminosity consistent with the value ?

mmdesign(zero current)

mm

design(zero current)

Specific Luminosity⇤⇤/xy = 80 mm(LER),

60 mm(HER)/1 mm<latexit sha1_base64="hAoToVWqW1qJ6RDXdFcFTCJHpYs=">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</latexit>

Crab Waist
Collimator tuning
Linac/BT improvement

12Specific Luminosity⇤⇤/xy = 60 mm/0.8 mm<latexit sha1_base64="iaZbE3GV2So1rnHvub5XNPhK9b4=">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</latexit>tuning after fixing
HER injection kicker trouble
still under tuning⇤⇤/xy = 80 mm(LER),

60 mm(HER)/1 mm<latexit sha1_base64="hAoToVWqW1qJ6RDXdFcFTCJHpYs=">AAAClnicSyrIySwuMTC4ycjEzMLKxs7BycXNw8vHLyAoFFacX1qUnBqanJ+TXxSRlFicmpOZlxpaklmSkxpRUJSamJuUkxqelO0Mkg8vSy0qzszPCympLEiNzU1Mz8tMy0xOLAEKxQsYxiSlliTGV8Rp6UNYlXFathYGdbm5Gj6uQZo6MTF1ZmCeB5CnbwhkxQsoG+gZgIECJsMQylBmgIKAfIHlDDEMKQz5DMkMpQy5DKkMeQwlQHYOQyJDMRBGMxgyGDAUAMViGaqBYkVAViZYPpWhloELqLcUqCoVqCIRKJoNJNOBvGioaB6QDzKzGKw7GWhLDhAXAXUqMKgaXDVYafDZ4ITBaoOXBn9wmlUNNgPklkognQTRm1oQz98lEfydoK5cIF3CkIHQhdfNJQxpDBZgt2YC3V4AFgH5Ihmiv6xq+udgqyDVajWDRQavge5faHDT4DDQB3llX5KXBqYGzWbgAkaAIXpwYzLCjPQMDfQMA02UHSygUcHBIM2gxKABDG9zBgcGD4YAhlCgvdMZ9jIcYzjOJMFkx+TK5A5RysQI1SPMgAKYAgAyXpqf</latexit>

13

Best Shift
shift : M. Nishiwaki
549.6 pb-1/ 620.8 pb-1
(89 %)

14

Fill Pattern
Two abort gaps are prepared to make abort trigger fast.

We switched 783 bunches to 978 bunches for physics run in June.

pilot bunch
to measure tunes

Fast iBump Feedback System
We have applied fast iBump feedback system for collision tuning since Spring run.
The repetition of the feedback is 33 kHz.

Correctors in the HER

verticalbeam-beam kick16

H. Fukuma

Transverse injection oscillation in the LER
Beams are oscillated due to the horizontal injection error.
If there is X-Y coupling at the injection kicker region, the verticalorbit oscillation can be induced. Then, luminosity degradation
occurs for the injection intervals.
We installed skew quadrupole (permanent magnet) to correct local
X-Y coupling in the vicinity of injection kickers.

T. Mimashi, S. Terui, T. Ueda

17

injection repetion rate : 12.5 Hz
80 msec interval

S. UeharaSynchrotron Light on PXD in HER
Synchrotron light from Injected beam at QC2LE hits the chamber wall and reflected light hits the PXD.

e-

HER

inner
0.04 mrad

18

0.59 mrad

Single Bunch Tune Shift in LER
March 4, 2020

<latexit sha1_base64="C+sa2iMKj6jPfc/k9a6PXSOEC24=">AAAChXichVHLSiNBFD227/iKuhFm0xgUEYy3g4wiiAE3Ln1FBR+hu604TfpFdyUYgy5d+AMuXCkMIrp1fmA2/oALP0FcKrhx4U2nQVScuUVVnTp1z61TVYZvW6Ekum9QGpuaW1rb2hMdnV3dPcnevtXQKwWmyJme7QXrhh4K23JFTlrSFut+IHTHsMWaUZyr7a+VRRBanrsiK77YcvRd1ypYpi6ZyifVTUNIPb+3PTpeR5XtUXVGnaJDxxnP8JBPpihNUahfgRaDFOJY8JIX2MQOPJgowYGAC8nYho6Q2wY0EHzmtlBlLmBkRfsCB0iwtsRZgjN0Zos87vJqI2ZdXtdqhpHa5FNs7gErVQzRHV3SE93SFT3Q67e1qlGNmpcKz0ZdK/x8z/HA8st/VQ7PEr/eVf/0LFHAVOTVYu9+xNRuYdb15f2Tp+XppaHqMJ3TI/s/o3v6yzdwy8/m70WxdIoEf4D2+bm/gtVMWqO0tjiRymbjr2jDDwxihN97ElnMYwE5PvcI17jBH6VVGVMmlJ/1VKUh1vTjQyizb0e/lLo=</latexit>⇤⇤/xy = 80 mm/2 mm

June 30, 2020

-0.00149 mA-1

movablecollimators⌫x<latexit sha1_base64="Ee3yo3DAiTyjoxUKsdA/onYkgVM=">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</latexit>⇤⇤/xy = 60 mm/0.8 mm

movablecollimators-0.00208 mA-1

⌫x<latexit sha1_base64="hqQ2HOtQfTUMSlxaa6u6xic4bI0=">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</latexit><latexit sha1_base64="hqQ2HOtQfTUMSlxaa6u6xic4bI0=">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</latexit>

D02

horizontal

D02

horizontal

I (mA)I (mA)
D03-0.00468 mA-1

D03
-0.01213 mA-1

D06

⌫y

D06

⌫y

<latexit sha1_base64="AveuQKrGg5koOH1ZTOFk+/h/jHA=">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</latexit><latexit sha1_base64="AveuQKrGg5koOH1ZTOFk+/h/jHA=">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</latexit>

verticalvertical
I (mA)

Large tune shift !
I (mA)

19

Guide Line for Integrated Luminosity
To keep 70 % efficiency is not so easy.

almost machine study

The maintenance day is included in 70 %.

More than 1 fb-1 per day
is promising.

M

M

M

M

M

M

M

M

M : maintenance day(no beam for 25 hours)

modificationfor HER CW

Remarks : ECL online luminosity does not include trigger veto dead time before May 7.

20

Operation Statistics
2020

Physics run

MachinetuningFebruary

0.0

102.0

0.0

0.0

10.0

112.0

March

344.0

314.5

0.0

17.5

68.0

744.0

April

468.0

135.0

0.0

71.5

45.5

720.0

May

525.0

133.5

0.0

26.0

59.5

744.0

June

463.0

153.5

28.0

50.5

25.0

720.0

July

9.0

0.0

0.0

0.0

0.0

9.0

total
(hours)1809.059.3 %

838.5
27.5 %

28.0
0.9 %

165.5
5.4 %

208.0
6.8 %

3049.0Machine study

TroublesMaintenanceand others

total(hours)• Machine Tuning

NEG activation
vacuum scrubbing
magnet standardization,
RF conditioning
XRM calibration
bunch-by-bunch FB
change of beam energy
high current test
injection tuning (includes after maintenance, short break, QCS down)
optics corrections
iBump calibration
collimator tuning
BBA
linac/BT beam tuning, and so on.

Summary

The peak luminosity of 2.4 x 1034 cm-2s-1 with Belle II data acquisition is the world record.
The luminosity around 2.2 - 2.4 x 1034 cm-2s-1 can be operated with Belle II for the βy* = 1 mm optics.
In case of βy* = 0. 8 mm, 1.8 - 1.9 x 1034 cm-2s-1 so far.
The vertical beta at the IP, 0.8 mm is the smallest value in the world. Beam size at the IP is also smallest.
The crab waist scheme seems to work successfully. Especially, it is effective at higher bunch current.
SuperKEKB applies a really large Piwinski angle, O(10). The crab waist has been successfully working in the bothrings together with the nano-beam scheme.
The rotatable sextupoles have been utilized to correct chromatic X-Y couplings in the LER. The effort will be continued
to the following operation. This may help to reduce beam-beam blowup.
RF system works well and provides stable operation; LER max. current is 770 mA and 660 mA in HER.
Collimators works well to reduce detector BG. More precise adjustment system will be necessary soon.

23Summary (cont'd)

However, difficulties arises significantly such as extremely short beam lifetime, stability of operations, and so on.
Sextupole and octuple tunings have to be performed to improve lifetime issue if the dynamic aperture affects it. The linac
performance will be a key issue for the next Autumn run to overcome one of the difficulties. Impedance issue ?
Beam background (TOP counter) and injector performance limit the beam currents so far.
BG comes from stored (residual gas, Touschek) and injected beam.
Recently, the deterioration of devices and facilities obstructs beam operations (as well as human resources). We have toendure the deterioration or aging ?

24

Appendix

25

23rd KEKB ARC : Recommendations and Conclusions
R2.1: The ARC endorses the proposed operational goals, toward βy* of 0.64 mm, 2 kAh, 200 fb-1, 3x1034cm-2s-1 by summer 2020.
C2.1: 0.8 mm, 1.18 kAh, 63 fb-1(73.5 fb-1), 2.4x1034 cm-2s-1
R2.2: By autumn 2019, evaluate different operating scenarios, select the one with the best risk-reward ratio, and establish a detailed
commissioning plan for accelerator and background studies.
C2.2: --R2.3: Do basic collision tuning around the energy-transparent condition.
C2.3: We have been able to perform IP knob tuning under stable physics run day by day. The continuous injection much helps thecollision tuning.
R2.4: Develop a collimation scenario down to design βy*.
C2.4: We studied a part of collimators with changing aperture, reducing by 200-300 μm or enlargement from the reference for injection
beams. Tune shift and bunch lengthening were also measured. D02V1 is 1.3 mm which is smaller than the design of 2.1 mm in the LER.
R2.5: The origin of the much larger than expected increases of bunch length with current should be investigated.
C2.5: Not yet done.
R2.6: Develop a Crab-Waist lattice to mitigate the beam-beam blowup, even if it may not work with the final design value of βy* .
C2.6: LER : 80 %, HER : 40 % for Crab-Waist ratio
R2.7: Develop a new nomenclature for the names of beam runs.
C2.7: We use 2020a and 2020b for Spring run, 2020c for Autumn run.
26

Collimator Aperture in LER
Assumption : εy = 60 pm (1.5 %) for collision (σy* = 0.22 μm for 0.8 mm)
LER βx* / βy* : 80 mm / 1.0 mm
June 21,2020

Ax (mm)

Ax/σx

D06H1

10.25

D06H3

LER βx* / βy* : 60 mm / 0.8 mm
Ay (mm)Ay/σyJuly 1,2020

Ax (mm)

Ax/σx

16.8

D06H1

10.25

16.8

10.75

17.6

D06H3

10.8

17.7

D03H1

11.25

16.8

D03H1

11.0

16.4

D02H1

8.0

24.8

D02H1

8.0

23.5

D02H2

10.25

17.2

D02H2

10.25

16.8

D02H3

13.0

16.1

D02H3

12.25

15.6

D02H4

8.25

18.8

D02H4

8.0

17.1

Ay (mm)

Ay/σy

D06V1

2.3

36.1

D06V1

2.2

34.3

D06V2

2.1

59.7

D06V2

2.0

56.3

D02V1

1.3

44.9

D02V1

1.5

44.7

QC1LP

13.0

41.7

13.5

62.8

QC1LP

13.0

35.9

13.5

55.8

QC2LP

35.0

43.3

35.0

289

QC2LP

35.0

37.2

35.0

256

QC2RP

35.0

43.3

35.0

289

QC2RP

35.0

37.2

35.0

256

QC1RP

13.0

42.6

13.5

63.0

QC1RP

13.0

36.6

13.5

55.8

27

Collimator Aperture in HER
Assumption : εy = 60 pm (1.3 %) for collision (σy* = 0.22 μm for 0.8 mm)
HER βx* / βy* : 60 mm / 1.0 mm

HER βx* / βy* : 60 mm / 0.8 mm

June 21,2020

Ax (mm)Ax/σx

June 21,2020

Ay (mm)Ay/σyJuly 1,2020

Ax (mm)Ax/σxJuly 1,2020

Ay (mm)

Ay/σy

D09H1

10.0

16.2

D09V1

1.6

52.5

D09H1

10.0

16.2

D09V1

1.6

52.5

D09H2

10.0

16.2

D09V2

3.1

90.8

D09H2

10.0

16.2

D09V2

3.1

90.8

D09H3

11.0

17.8

D09V3

1.3

42.7

D09H3

11.0

17.8

D09V3

1.3

42.7

D09H4

12.0

19.4

D09V4

3.4

107.3

D09H4

12.0

19.4

D09V4

3.3

104.1

D12H1

9.9

16.0

D12V1

3.3

104.1

D12H1

8.9

14.4

D12V1

3.4

107.3

D12H2

9.8

15.9

D12V2

1.8

59.1

D12H2

8.8

14.2

D12V2

1.9

62.4

D12H3

9.8

15.9

D12V3

2.2

72.1

D12H3

8.8

14.2

D12V3

2.2

72.2

D12H4

9.8

15.9

D12V4

3.3

96.6

D12H4

8.8

14.2

D12V4

3.3

96.6

D01H3

4.8

17.0

D01V1

1.9

36.0

D01H3

4.8

17.0

D01V1

2.1

35.7

D01H4

8.0

25.0

D01H4

8.0

25.0

D01H5

8.0

21.5

D01H5

8.0

21.5

QC1LE

15

28.4

QC1LE

15

46.5

QC1LE

15

28.4

QC1LE

15

41.6

QC2LE

35

25.9

QC2LE

35

196.6

QC2LE

35

25.9

QC2LE

35

175.8

QC2RE

35

23.5

QC2RE

35

198.8

QC2RE

35

24.0

QC2RE

35

177.8

QC1RE

15

28.7

QC1RE

15

46.4

QC1RE

15

28.6

QC1RE

15

41.5

28

History from Phase 2 to Phase 3

Phase 2Phase 3.1

Phase 3.2

Phase 3.3

March 19 - July 17
2018

March 11 - July 1
2019

Oct. 15 - Dec. 12
2019Feb. 25 - July 1
2020

Operation time(days)

120

91(fire : 21)

57

127

Beta Function at IP(mm)

LER : 200 / 3
HER : 100 / 3

LER : 80 / 2
HER : 80 / 2

LER : 80 / 1
HER : 60 / 1

LER : 60 / 0.8
HER : 60 / 0.8

Beam Currents(mA)

LER : 860
HER : 800

LER : 940
HER : 840

LER : 880
HER : 700

LER : 770
HER : 660

Peak Luminosity(cm-2s-1)

2.62 x 1033

5.50 x 1033

1.14 x 1034

2.40 x 1034

w Belle II

5.55 x 1033

1.23 x 1034

1.88 x 1034-

w/o Belle II2018a/b

Date

2019a/b29

2019c2020a/bRemarks

History of Phase 3⇤
y = 3 mm⇤y = 2 mm<latexit sha1_base64="6U1Uy6+QDdPwaAB8M1Ixlm/EGD0=">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</latexit>⇤
y = 1 mm<latexit sha1_base64="GVZgwVpyuXOis4y4nrkl2dRxyj4=">AAACdHichVHLSsNAFD2N7/po1Y2gi2KpiItyI4IiCIIbl61aFXyUJI4amhfJtFCLfoA/4MKVooj4GW78ARf9BHFZ0Y0Lb9OAqKg3TObMmXvunJmre5YZSKJ6TGlr7+js6u6J9/b1DySSg0PrgVv2DVEwXMv1N3UtEJbpiII0pSU2PV9otm6JDb201NzfqAg/MF1nTVY9sWNrB465bxqaZKqYTGzrQmrF6u7UwnTqxLaLyTRlKYzUT6BGII0ocm7yBtvYgwsDZdgQcCAZW9AQ8LcFFQSPuR3UmPMZmeG+wDHirC1zluAMjdkS/w94tRWxDq+bNYNQbfApFg+flSlk6JFuqUEPdEdP9P5rrVpYo+mlyrPe0gqvmDgdWX37V2XzLHH4qfrTs8Q+5kKvJnv3QqZ5C6OlrxydNVbnVzK1CbqkZ/Z/QXW65xs4lRfjOi9WzhHnBqjfn/snWJ/OqpRV8zPpxbmoFd0YxTgm+b1nsYhl5FAIe3KOK1zHXpUxJa1kWqlKLNIM40so2Q86r49y</latexit><latexit sha1_base64="fsgdqPw6aDqFJy7GDrU2wHQ88Gw=">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</latexit>

1.88 x 1034 cm-2s-1⇤
y = 0.8 mm<latexit sha1_base64="KF1P6OS6NphHraCHHsvQJ4vhjxY=">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</latexit>

2.4 x 1034 cm-2s-1

1.23 x 1034 cm-2s-1

91 days

57 days

127 days~ 9 months in total

30

Beta Squeezing in 2020a/b

31

Machine Parameters (3)SuperKEKB : June 21, 2020

SuperKEKB : June 30, 2020

Unit

Ring

LER

HER

LER

HER

Emittance

4.0

4.6

4.0

4.6

nm

Beam Current

712

607

270

269

mA

978

Number of bunches

393

Bunch current

0.728

0.621

0.686

0.685

mA

Lifetime

760

1270

600

1173

sec

Horizontal size σx*

17.9

16.6

15.5

16.6

μm

Vertical cap sigma Σy*

0.403

0.374

μm*1

Vertical size σy*

0.285

0.265

μm*2

Betatron tunes νx / νy44.523 / 46.581 45.531 / 43.577 44.525 / 46.582 45.531 / 43.573

βx* / βy*80 / 1.0

60 / 1.0

60 / 0.8

60 / 0.8

Piwinski angle

10.7

12.7

12.3

12.7

Crab waist ratio

80

40

80

40

Beam-Beam parameter ξy0.03890.02610.03700.0212mm%

Specific luminosity

5.43 x 1031

5.85 x 1031

cm-2s-1/mA2

Luminosity

2.40 x 1034

1.08 x 1034 (w/o Belle II)

cm-2s-132*1) estimated by luminosity with assuming design bunch length*2) divide *1 by √2

Lifetime of Single Beam
LER

HER

Low emittance (2 nm)

60 mm / 1.0 mm
I = 500 mA(nb= 783)
dI/dt = -0.30 mA/slife = 1666 sec

I = 400 mA(nb = 783)
dI/dt = -1.2 mA/slife = 333 sec
80 mm / 1.0 mm

60 mm / 0.8 mm

60 mm / 0.8 mm

High emittance (4 nm)

I = 500 mA(nb= 783)
dI/dt = -0.38 mA/slife = 1316 sec

I = 400 mA(nb = 783)
dI/dt = -0.6 mA/slife = 666 sec

33

Lifetime for Collision
LER

80 mm / 1.0 mm

HER

60 mm / 1.0 mm

I = 610 mA(nb = 978)dI/dt = -0.48 mA/slife = 1270 sec

I = 720 mA(nb = 978)dI/dt = -0.95 mA/slife = 760 sec(High emittance)

60 mm / 0.8 mm

60 mm / 0.8 mm

I = 540 mA(nb = 978)dI/dt = -0.90 mA/slife = 600 sec(High emittance)

34

I = 530 mA(nb = 978)dI/dt = -0.45 mA/slife = 1177 sec

Beam Size of Single Beam
LER : 80 mm / 1.0 mm, HER : 60 mm / 1.0 mm

LER, HER : 60 mm / 0.8 mm

εy = 28 pm
εy = 10 pm

Low emittanceεy = 24 pm

35High emittanceRestart from Maintenancemaintenance(8 hours)

linac/BT study
and tuning(17 hours)

36

injection tuning
optics corrections(10 hours)