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IceCube Moon Shadow Laura Gladstone University of Wisconsin, Madison Moriond Electroweak Session 20 March 2011 1

IceCube Moon Shadow€¦ · IceCube observes the Moon shadow with 10σ, confirming accurate pointing up to O(°) 8 Thanks to the IceCube Moon group, especially: David Boersma Jan

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Page 1: IceCube Moon Shadow€¦ · IceCube observes the Moon shadow with 10σ, confirming accurate pointing up to O(°) 8 Thanks to the IceCube Moon group, especially: David Boersma Jan

IceCube Moon Shadow

Laura GladstoneUniversity of Wisconsin, Madison

Moriond Electroweak Session20 March 2011

1

Page 2: IceCube Moon Shadow€¦ · IceCube observes the Moon shadow with 10σ, confirming accurate pointing up to O(°) 8 Thanks to the IceCube Moon group, especially: David Boersma Jan

L. Gladstone, UW Madison, IceCube 20 March 2011Moriond

Shadow is a known signal

End-to-end check of systematics and pointing

2

Page 3: IceCube Moon Shadow€¦ · IceCube observes the Moon shadow with 10σ, confirming accurate pointing up to O(°) 8 Thanks to the IceCube Moon group, especially: David Boersma Jan

L. Gladstone, UW Madison, IceCube 20 March 2011Moriond

Data Sample

Use events from a window around the Moon

Angular resolution is comparable to the size of the Moon

3

Page 4: IceCube Moon Shadow€¦ · IceCube observes the Moon shadow with 10σ, confirming accurate pointing up to O(°) 8 Thanks to the IceCube Moon group, especially: David Boersma Jan

L. Gladstone, UW Madison, IceCube 20 March 2011Moriond

Likelihood Approach 4

L(�xs, ns) =N�

i

log�ns

NSi + (1− ns

NBi)

Use central signal region and off-source background region

At each point, vary the number of events blocked by the Moon, ns

Maximize likelihood

Page 5: IceCube Moon Shadow€¦ · IceCube observes the Moon shadow with 10σ, confirming accurate pointing up to O(°) 8 Thanks to the IceCube Moon group, especially: David Boersma Jan

L. Gladstone, UW Madison, IceCube 20 March 2011Moriond

Likelihood Approach 4

L(�xs, ns) =N�

i

log�ns

NSi + (1− ns

NBi)

Use central signal region and off-source background region

At each point, vary the number of events blocked by the Moon, ns

Maximize likelihood

Page 6: IceCube Moon Shadow€¦ · IceCube observes the Moon shadow with 10σ, confirming accurate pointing up to O(°) 8 Thanks to the IceCube Moon group, especially: David Boersma Jan

L. Gladstone, UW Madison, IceCube 20 March 2011Moriond

Likelihood: background function 5

projection

proj

ectio

n

fit to flat line

fit to 3-degree polynomial

Page 7: IceCube Moon Shadow€¦ · IceCube observes the Moon shadow with 10σ, confirming accurate pointing up to O(°) 8 Thanks to the IceCube Moon group, especially: David Boersma Jan

L. Gladstone, UW Madison, IceCube 20 March 2011Moriond

How steady is background 6

L(�xs, ns) =N�

i

log�ns

NSi + (1− ns

NBi)

Null hypothesis fluctuations: look at off-source region as if it were signal

Page 8: IceCube Moon Shadow€¦ · IceCube observes the Moon shadow with 10σ, confirming accurate pointing up to O(°) 8 Thanks to the IceCube Moon group, especially: David Boersma Jan

L. Gladstone, UW Madison, IceCube 20 March 2011Moriond

How steady is background 6

L(�xs, ns) =N�

i

log�ns

NSi + (1− ns

NBi)

Null hypothesis fluctuations: look at off-source region as if it were signal

Page 9: IceCube Moon Shadow€¦ · IceCube observes the Moon shadow with 10σ, confirming accurate pointing up to O(°) 8 Thanks to the IceCube Moon group, especially: David Boersma Jan

L. Gladstone, UW Madison, IceCube 20 March 2011Moriond

How steady is background 6

L(�xs, ns) =N�

i

log�ns

NSi + (1− ns

NBi)

Null hypothesis fluctuations: look at off-source region as if it were signal

Page 10: IceCube Moon Shadow€¦ · IceCube observes the Moon shadow with 10σ, confirming accurate pointing up to O(°) 8 Thanks to the IceCube Moon group, especially: David Boersma Jan

L. Gladstone, UW Madison, IceCube 20 March 2011Moriond

How steady is background 6

L(�xs, ns) =N�

i

log�ns

NSi + (1− ns

NBi)

Null hypothesis fluctuations: look at off-source region as if it were signal

Page 11: IceCube Moon Shadow€¦ · IceCube observes the Moon shadow with 10σ, confirming accurate pointing up to O(°) 8 Thanks to the IceCube Moon group, especially: David Boersma Jan

L. Gladstone, UW Madison, IceCube 20 March 2011Moriond

How steady is background 6

L(�xs, ns) =N�

i

log�ns

NSi + (1− ns

NBi)

Null hypothesis fluctuations: look at off-source region as if it were signal

Page 12: IceCube Moon Shadow€¦ · IceCube observes the Moon shadow with 10σ, confirming accurate pointing up to O(°) 8 Thanks to the IceCube Moon group, especially: David Boersma Jan

L. Gladstone, UW Madison, IceCube 20 March 2011Moriond

How steady is background 6

L(�xs, ns) =N�

i

log�ns

NSi + (1− ns

NBi)

Null hypothesis fluctuations: look at off-source region as if it were signal

Width = 500 events

Page 13: IceCube Moon Shadow€¦ · IceCube observes the Moon shadow with 10σ, confirming accurate pointing up to O(°) 8 Thanks to the IceCube Moon group, especially: David Boersma Jan

L. Gladstone, UW Madison, IceCube 20 March 2011Moriond

Likelihood result 7

Signal depth: 5000 events

PREL

IMIN

ARY

PRELIMINARY

Significance: signal 5000error 500

=

Page 14: IceCube Moon Shadow€¦ · IceCube observes the Moon shadow with 10σ, confirming accurate pointing up to O(°) 8 Thanks to the IceCube Moon group, especially: David Boersma Jan

L. Gladstone, UW Madison, IceCube 20 March 2011Moriond

Likelihood result 7

Signal depth: 5000 events

PREL

IMIN

ARY

PRELIMINARY

Significance: signal 5000error 500

=

Page 15: IceCube Moon Shadow€¦ · IceCube observes the Moon shadow with 10σ, confirming accurate pointing up to O(°) 8 Thanks to the IceCube Moon group, especially: David Boersma Jan

L. Gladstone, UW Madison, IceCube 20 March 2011Moriond

Likelihood result 7

Signal depth: 5000 events

PREL

IMIN

ARY

PRELIMINARY

Significance: signal 5000error 500

=

Page 16: IceCube Moon Shadow€¦ · IceCube observes the Moon shadow with 10σ, confirming accurate pointing up to O(°) 8 Thanks to the IceCube Moon group, especially: David Boersma Jan

L. Gladstone, UW Madison, IceCube 20 March 2011Moriond

Conclusion:

IceCube observes the Moon shadow with 10σ, confirming accurate pointing up to O(°)

8

Thanks to the IceCube Moon group,especially:

David BoersmaJan BlumenthalHugo StiebelMarcos Santander

Page 17: IceCube Moon Shadow€¦ · IceCube observes the Moon shadow with 10σ, confirming accurate pointing up to O(°) 8 Thanks to the IceCube Moon group, especially: David Boersma Jan

L. Gladstone, UW Madison, IceCube 20 March 2011Moriond

Uses for a known shadowEnd-to-end check of systematics and pointing

Monitor monthly to confirm data

Use the shadow shape to describe the detector point spread function

Vary fit parameters and observe the effect on shadow strength

confirms simulation accuracy

9

Page 18: IceCube Moon Shadow€¦ · IceCube observes the Moon shadow with 10σ, confirming accurate pointing up to O(°) 8 Thanks to the IceCube Moon group, especially: David Boersma Jan

L. Gladstone, UW Madison, IceCube 20 March 2011Moriond

Likelihood: background 10

L(�xs, ns) =N�

i

log�ns

NSi + (1− ns

NBi)

Page 19: IceCube Moon Shadow€¦ · IceCube observes the Moon shadow with 10σ, confirming accurate pointing up to O(°) 8 Thanks to the IceCube Moon group, especially: David Boersma Jan

L. Gladstone, UW Madison, IceCube 20 March 2011Moriond

Data set 11

10˚

10˚

40˚40˚

Page 20: IceCube Moon Shadow€¦ · IceCube observes the Moon shadow with 10σ, confirming accurate pointing up to O(°) 8 Thanks to the IceCube Moon group, especially: David Boersma Jan

L. Gladstone, UW Madison, IceCube 20 March 2011Moriond

Data Quality CutsFilter-level cuts:

(number of hit DOMs) ≡ NCh ≥ 12

(number of hit strings) ≥ 3

Analysis-level cuts:

estimated angular error of reconstruction ≤ 1.6˚

Resulting sample:

69M events, 53% efficiency from filter

median angular resolution: 1.27o

Search Bin Size: 0.8o

12

Page 21: IceCube Moon Shadow€¦ · IceCube observes the Moon shadow with 10σ, confirming accurate pointing up to O(°) 8 Thanks to the IceCube Moon group, especially: David Boersma Jan

L. Gladstone, UW Madison, IceCube 20 March 2011Moriond

Search bin size optimization 13

significance ~Nsig�Nbkgd

Page 22: IceCube Moon Shadow€¦ · IceCube observes the Moon shadow with 10σ, confirming accurate pointing up to O(°) 8 Thanks to the IceCube Moon group, especially: David Boersma Jan

L. Gladstone, UW Madison, IceCube 20 March 2011Moriond

Search bin size optimization 13

significance ~Nsig�Nbkgd

Signal: use simulated point spread function

Page 23: IceCube Moon Shadow€¦ · IceCube observes the Moon shadow with 10σ, confirming accurate pointing up to O(°) 8 Thanks to the IceCube Moon group, especially: David Boersma Jan

L. Gladstone, UW Madison, IceCube 20 March 2011Moriond

Search bin size optimization 13

significance ~Nsig�Nbkgd

Background: scales with area

Nbkgd ∝ Area ∝ πr2

�Nbkgd ∝ r

Signal: use simulated point spread function

Page 24: IceCube Moon Shadow€¦ · IceCube observes the Moon shadow with 10σ, confirming accurate pointing up to O(°) 8 Thanks to the IceCube Moon group, especially: David Boersma Jan

L. Gladstone, UW Madison, IceCube 20 March 2011Moriond

Search bin size optimization 13

significance ~Nsig�Nbkgd

Background: scales with area

Nbkgd ∝ Area ∝ πr2

�Nbkgd ∝ r

Signal: use simulated point spread function

Page 25: IceCube Moon Shadow€¦ · IceCube observes the Moon shadow with 10σ, confirming accurate pointing up to O(°) 8 Thanks to the IceCube Moon group, especially: David Boersma Jan

L. Gladstone, UW Madison, IceCube 20 March 2011Moriond

Search bin size optimization 13

significance ~Nsig�Nbkgd

Background: scales with area

Nbkgd ∝ Area ∝ πr2

�Nbkgd ∝ r

Expect best result with search bin of 0.8o

Signal: use simulated point spread function

Page 26: IceCube Moon Shadow€¦ · IceCube observes the Moon shadow with 10σ, confirming accurate pointing up to O(°) 8 Thanks to the IceCube Moon group, especially: David Boersma Jan

L. Gladstone, UW Madison, IceCube 20 March 2011Moriond

Back-of-the-Envelope SignificanceObserve rate: 35k events/ sq˚

70.4k in each background bin

7k events blocked by Moon

Search bin contains 35% blocked events

14

r = 0.8˚

r = 0.25˚

31

r = 0.8˚

r = 0.25˚

Moon blocks 10% of search bin

search bin

containedExpect 2500 event deficit:

8.9σ

S =√

2�

Non ln�1 + α

α

�Non

Non + Noff

��+ Noff ln

�(1 + α)

�Noff

Non + Noff

���1/2

Page 27: IceCube Moon Shadow€¦ · IceCube observes the Moon shadow with 10σ, confirming accurate pointing up to O(°) 8 Thanks to the IceCube Moon group, especially: David Boersma Jan

L. Gladstone, UW Madison, IceCube 20 March 2011Moriond

15

Page 28: IceCube Moon Shadow€¦ · IceCube observes the Moon shadow with 10σ, confirming accurate pointing up to O(°) 8 Thanks to the IceCube Moon group, especially: David Boersma Jan

L. Gladstone, UW Madison, IceCube 20 March 2011Moriond

16

7.58σ simple statistical errors

7.56σ Li & Ma errors

Once events are reconstructed, this method is fast

Page 29: IceCube Moon Shadow€¦ · IceCube observes the Moon shadow with 10σ, confirming accurate pointing up to O(°) 8 Thanks to the IceCube Moon group, especially: David Boersma Jan

L. Gladstone, UW Madison, IceCube 20 March 2011Moriond

Alternate Binned MethodConsider several declination bands:

Use off-Moon bands to correct Moon band RA structure

This was tried on IC22

17

It didn’t work well enough with IC22, and with IC40 a simpler binned analysis was good enough

Page 30: IceCube Moon Shadow€¦ · IceCube observes the Moon shadow with 10σ, confirming accurate pointing up to O(°) 8 Thanks to the IceCube Moon group, especially: David Boersma Jan

L. Gladstone, UW Madison, IceCube 20 March 2011Moriond

Does Geomagnetic field matter?filter level cuts, zenith > 50˚

18

Shift from magnetic fields is negligibleTibet Air Shower Array

arXiv:0810.3757v1 [astro-ph]

1-40 TeV

→shift is also negligible in this analysis

Page 31: IceCube Moon Shadow€¦ · IceCube observes the Moon shadow with 10σ, confirming accurate pointing up to O(°) 8 Thanks to the IceCube Moon group, especially: David Boersma Jan

L. Gladstone, UW Madison, IceCube 20 March 2011Moriond

Approach II: Unbinned skymap 19

reconstructed positions

even

t w

eigh

t

paraboloid errors

Smear each event by its paraboloid errorMap the total weighted event sum

Page 32: IceCube Moon Shadow€¦ · IceCube observes the Moon shadow with 10σ, confirming accurate pointing up to O(°) 8 Thanks to the IceCube Moon group, especially: David Boersma Jan

L. Gladstone, UW Madison, IceCube 20 March 2011Moriond

Unbinned Skymap 20

Healpix: program for skymaps-- uses equal-area binsBox-shape is from filter windowGradient from zenith dependence of CR flux

Draw Moon centered at its average position

Page 33: IceCube Moon Shadow€¦ · IceCube observes the Moon shadow with 10σ, confirming accurate pointing up to O(°) 8 Thanks to the IceCube Moon group, especially: David Boersma Jan

L. Gladstone, UW Madison, IceCube 20 March 2011Moriond

Work in Progress:Significance for IC59 skymap:

try dummy-moon approach

Assumes that RA distribution is flat:

21

proj

ectio

n

Skymap made from170M events,

12 of 13 IC59 monthsEach bin is

1.0° in RA,1.0 ° in Dec

Page 34: IceCube Moon Shadow€¦ · IceCube observes the Moon shadow with 10σ, confirming accurate pointing up to O(°) 8 Thanks to the IceCube Moon group, especially: David Boersma Jan

L. Gladstone, UW Madison, IceCube 20 March 2011Moriond

Most-of-IC59 skymap 22

Skymap made from170M events, 12 of 13 IC59 months 3° 2° 2°

17°

Each bin:0.01° in RA

0.01° in Dec

7.7°