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The Type Ia Supernova Rate and Progenitor from Transient Survey Jun Ernesto Okumura@SN+SNR 16/10/2012 Yutaka Ihara, Mamoru Doi , Tomoki Morokuma, Reynald Pain , Tomonori Totani, Kyle Barbary, Naohiro Takanashi, Naoki Yasuda, Greg Aldering, Kyle Dawson, Gerson Goldhaber, Isobel Hook, Chris Lidman, Saul Perlmutter, Anthony Spadafora, Nao Suzuki, Lifan Wang
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The Type Ia Supernova Rate and Progenitor from …cosmic.riken.jp/snsnr2012/presen/day2/okumura.pdfThe Type Ia Supernova Rate and Progenitor from Transient Survey Jun Ernesto Okumura@SN+SNR

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Page 1: The Type Ia Supernova Rate and Progenitor from …cosmic.riken.jp/snsnr2012/presen/day2/okumura.pdfThe Type Ia Supernova Rate and Progenitor from Transient Survey Jun Ernesto Okumura@SN+SNR

The Type Ia Supernova Rate and Progenitor from Transient Survey

Jun Ernesto Okumura@SN+SNR 16/10/2012

Yutaka Ihara, Mamoru Doi , Tomoki Morokuma, Reynald Pain , Tomonori Totani, Kyle Barbary, Naohiro Takanashi,

Naoki Yasuda, Greg Aldering, Kyle Dawson, Gerson Goldhaber, Isobel Hook, Chris Lidman, Saul Perlmutter,

Anthony Spadafora, Nao Suzuki, Lifan Wang

Page 2: The Type Ia Supernova Rate and Progenitor from …cosmic.riken.jp/snsnr2012/presen/day2/okumura.pdfThe Type Ia Supernova Rate and Progenitor from Transient Survey Jun Ernesto Okumura@SN+SNR

Contents

1. IntroductionSN Ia progenitor, SN Ia rate and Delay Time Distribution

2. Rate Calculation from Subaru/XMM-Newton Deep SurveyTransient Surveys (SXDS)

Rate Calculation

Classification

3. Results and FutureRate ResultFuture Survey

Page 3: The Type Ia Supernova Rate and Progenitor from …cosmic.riken.jp/snsnr2012/presen/day2/okumura.pdfThe Type Ia Supernova Rate and Progenitor from Transient Survey Jun Ernesto Okumura@SN+SNR

Type Ia Supernova

‣ Thermonuclear Explosion of White Dwarf (WD) which exceeds Chandrasekhar limit

‣ Progenitor system forms binary‣ ~ 1051 erg, MBmax= -19.1mag

‣ Spectrum is basically “Black Body+lines”

‣ Homogeneous LC→Cosmology

C+OWD? Ni

Si, S, Ca

Supectrum

Page 4: The Type Ia Supernova Rate and Progenitor from …cosmic.riken.jp/snsnr2012/presen/day2/okumura.pdfThe Type Ia Supernova Rate and Progenitor from Transient Survey Jun Ernesto Okumura@SN+SNR

Type Ia Supernova

‣ Thermonuclear Explosion of White Dwarf (WD) which exceeds Chandrasekhar limit

‣ Progenitor system forms binary‣ ~ 1051 erg, MBmax= -19.1mag

‣ Spectrum is basically “Black Body+lines”

‣ Homogeneous LC→Cosmology

? Ni

Si, S, Ca

Supectrum

Kim97’

Page 5: The Type Ia Supernova Rate and Progenitor from …cosmic.riken.jp/snsnr2012/presen/day2/okumura.pdfThe Type Ia Supernova Rate and Progenitor from Transient Survey Jun Ernesto Okumura@SN+SNR

SN Ia Progenitor models

‣ Companion: Main Sequence, Sub-Giant

‣ mass accretion from Roche-love overflow

‣ Recurrent Nova > stable nuclear burning

Single Degenerate (SD)

C+OWD

MSSub-G

Double Degenerate (DD)

C+OWD

C+OWD

‣ Companion: WD

‣ gravitational wave radiation

‣ merge of two WDs > SN Ia1. Gravitational Wave

1. Mass Transfer

2. Exceed ChandrasekharMass (~1.4 Msun)

2. Shrinkage

Page 6: The Type Ia Supernova Rate and Progenitor from …cosmic.riken.jp/snsnr2012/presen/day2/okumura.pdfThe Type Ia Supernova Rate and Progenitor from Transient Survey Jun Ernesto Okumura@SN+SNR

Observational Constraints on the progenitor

MSSub-G

C+OWD

1. Dense circumstellar matter (CSM)

No Radio & X-ray detection

(Panagia+06, Chomiuk+12’, Hancock+11’)

see also Dilday+12’, Taddia+12’→CSM

2. Hydrogen from the companion

SN2005am, SN2005cf(Leonard 07’) SN2011fe (Shappee+12’)

CSM

Page 7: The Type Ia Supernova Rate and Progenitor from …cosmic.riken.jp/snsnr2012/presen/day2/okumura.pdfThe Type Ia Supernova Rate and Progenitor from Transient Survey Jun Ernesto Okumura@SN+SNR

Observational Constraints on the progenitor

MSSub-G

1. Dense circumstellar matter (CSM)

No Radio & X-ray detection

(Panagia+06, Chomiuk+12’, Hancock+11’)

see also Dilday+12’, Taddia+12’→CSM

2. Hydrogen from the companion

SN2005am, SN2005cf(Leonard 07’) SN2011fe (Shappee+12’)

CSM

Chomiuk+12’

Leonard 07’

Page 8: The Type Ia Supernova Rate and Progenitor from …cosmic.riken.jp/snsnr2012/presen/day2/okumura.pdfThe Type Ia Supernova Rate and Progenitor from Transient Survey Jun Ernesto Okumura@SN+SNR

Observational Constraints on the progenitor

MSSub-G

C+OWD

Survivor 3. No detection of SurvivorSN2011fe (Li+11’)Tycho, SN1006 (Ruiz Lapuente+04’, Fuhrman 05’, Ihara+07’, Gonzales-Hernandez+09’, Kerzendorf+09’, Gonzales-Hernandez+12’)

4. Supersoft X-ray Sources (SSS)Di Stefano 10’, Gilfanov&Bogdan 10’but see also Hachisu+10’, Meng&Yang 11’

Page 9: The Type Ia Supernova Rate and Progenitor from …cosmic.riken.jp/snsnr2012/presen/day2/okumura.pdfThe Type Ia Supernova Rate and Progenitor from Transient Survey Jun Ernesto Okumura@SN+SNR

Observational Constraints on the progenitor

MSSub-G

C+OWD

Survivor 3. No detection of SurvivorSN2011fe (Li+11’)Tycho, SN1006 (Ruiz Lapuente+04’, Fuhrman 05’, Ihara+07’, Gonzales-Hernandez+09’, Kerzendorf+09’, Gonzales-Hernandez+12’)

4. Supersoft X-ray Sources (SSS)Di Stefano 10’, Gilfanov&Bogdan 10’but see also Hachisu+10’, Meng&Yang 11’

Nomoto+07’

Page 10: The Type Ia Supernova Rate and Progenitor from …cosmic.riken.jp/snsnr2012/presen/day2/okumura.pdfThe Type Ia Supernova Rate and Progenitor from Transient Survey Jun Ernesto Okumura@SN+SNR

Observational Constraints on the progenitor

MSSub-G

C+OWD

Survivor 3. No detection of SurvivorSN2011fe (Li+11’)Tycho, SN1006 (Ruiz Lapuente+04’, Fuhrman 05’, Ihara+07’, Gonzales-Hernandez+09’, Kerzendorf+09’, Gonzales-Hernandez+12’)

4. Supersoft X-ray Sources (SSS)Di Stefano 10’, Gilfanov&Bogdan 10’but see also Hachisu+10’, Meng&Yang 11’

Nomoto+07’

Page 11: The Type Ia Supernova Rate and Progenitor from …cosmic.riken.jp/snsnr2012/presen/day2/okumura.pdfThe Type Ia Supernova Rate and Progenitor from Transient Survey Jun Ernesto Okumura@SN+SNR

Delay Time Distribution (DTD)

‣ SFH and Delay Time Distribution (DTD)

‣ Delay Time: time duration between the birth of the binary and the explosion as a Supernova

Totani+08’

Page 12: The Type Ia Supernova Rate and Progenitor from …cosmic.riken.jp/snsnr2012/presen/day2/okumura.pdfThe Type Ia Supernova Rate and Progenitor from Transient Survey Jun Ernesto Okumura@SN+SNR

Delay Time Distribution (DTD)

‣ SFH and Delay Time Distribution (DTD)

‣ Delay Time: time duration between the birth of the binary and the explosion as a Supernova

Maoz+10’

SN Ia rate is coupled with SFH and DTD

RIa =� t

0�(t�)DTD(t� t�) dt�

Totani+08’

Page 13: The Type Ia Supernova Rate and Progenitor from …cosmic.riken.jp/snsnr2012/presen/day2/okumura.pdfThe Type Ia Supernova Rate and Progenitor from Transient Survey Jun Ernesto Okumura@SN+SNR

Delay Time Distribution (DTD)

‣ Population Synthesis Calculation

‣ SD: Lifetime of the secondary DD: WDs sepalation

‣ Theoretical absolute number lies a factor below the observation

0.01

0.1

1

10

0.1 1 10

SN Ia

DTD

[cen

tury

-1 (1

010L K

,0)-1

)]

Delay Time [Gyr]

Meng+08Belczynski+05

Ruiz-Lapuente+98Yungelson+00

0.01

0.1

1

10

0.1 1 10

SN Ia

DTD

[cen

tury

-1 (1

010L K

,0)-1

)]

Delay Time [Gyr]

Greggio+05Yungelson+00

Ruiz-Lapuente+98Belczynski+05SD DD

Page 14: The Type Ia Supernova Rate and Progenitor from …cosmic.riken.jp/snsnr2012/presen/day2/okumura.pdfThe Type Ia Supernova Rate and Progenitor from Transient Survey Jun Ernesto Okumura@SN+SNR

Delay Time Distribution (DTD)

‣ Population Synthesis Calculation

‣ SD: Lifetime of the secondary DD: WDs sepalation

‣ Theoretical absolute number lies a factor below the observation

0.01

0.1

1

10

0.1 1 10

SN Ia

DTD

[cen

tury

-1 (1

010L K

,0)-1

)]

Delay Time [Gyr]

Meng+08Belczynski+05

Ruiz-Lapuente+98Yungelson+00

0.01

0.1

1

10

0.1 1 10

SN Ia

DTD

[cen

tury

-1 (1

010L K

,0)-1

)]

Delay Time [Gyr]

Greggio+05Yungelson+00

Ruiz-Lapuente+98Belczynski+05SD DD

tIa ⇠ tGW / a4 a : separation

fsep(a) / a�

fD / fsep(a)da

dtIa/ t�(3��)/4

Ia

Page 15: The Type Ia Supernova Rate and Progenitor from …cosmic.riken.jp/snsnr2012/presen/day2/okumura.pdfThe Type Ia Supernova Rate and Progenitor from Transient Survey Jun Ernesto Okumura@SN+SNR

Delay Time Distribution (DTD)

‣ Population Synthesis Calculation

‣ SD: Lifetime of the secondary DD: WDs sepalation

‣ Theoretical absolute number lies a factor below the observation

0.01

0.1

1

10

0.1 1 10

SN Ia

DTD

[cen

tury

-1 (1

010L K

,0)-1

)]

Delay Time [Gyr]

Meng+08Belczynski+05

Ruiz-Lapuente+98Yungelson+00

0.01

0.1

1

10

0.1 1 10

SN Ia

DTD

[cen

tury

-1 (1

010L K

,0)-1

)]

Delay Time [Gyr]

Greggio+05Yungelson+00

Ruiz-Lapuente+98Belczynski+05SD DD

1. SN Ia rate can constrain SFHxDTD2. theoretical DTDs consists with DD model (t-1 DTD)3. Still remains contradiction in the absolute number

tIa ⇠ tGW / a4 a : separation

fsep(a) / a�

fD / fsep(a)da

dtIa/ t�(3��)/4

Ia

Page 16: The Type Ia Supernova Rate and Progenitor from …cosmic.riken.jp/snsnr2012/presen/day2/okumura.pdfThe Type Ia Supernova Rate and Progenitor from Transient Survey Jun Ernesto Okumura@SN+SNR

Delay Time Distribution (DTD)

‣ Population Synthesis Calculation

‣ SD: Lifetime of the secondary DD: WDs sepalation

‣ Theoretical absolute number lies a factor below the observation

0.01

0.1

1

10

0.1 1 10

SN Ia

DTD

[cen

tury

-1 (1

010L K

,0)-1

)]

Delay Time [Gyr]

Meng+08Belczynski+05

Ruiz-Lapuente+98Yungelson+00

0.01

0.1

1

10

0.1 1 10

SN Ia

DTD

[cen

tury

-1 (1

010L K

,0)-1

)]

Delay Time [Gyr]

Greggio+05Yungelson+00

Ruiz-Lapuente+98Belczynski+05SD DD

1. SN Ia rate can constrain SFHxDTD2. theoretical DTDs consists with DD model (t-1 DTD)3. Still remains contradiction in the absolute number

Ruiter+11’Mennekens+10’

tIa ⇠ tGW / a4 a : separation

fsep(a) / a�

fD / fsep(a)da

dtIa/ t�(3��)/4

Ia

Mennekens+10’

Page 17: The Type Ia Supernova Rate and Progenitor from …cosmic.riken.jp/snsnr2012/presen/day2/okumura.pdfThe Type Ia Supernova Rate and Progenitor from Transient Survey Jun Ernesto Okumura@SN+SNR

Why SN Ia rate?

‣ SN Ia is crucial tool for astronomy

1. Ia cosmology: homogeneous LCs

2. Chemical Evolution: ~0.6Msun Fe per event

3. Cosmic/Galactic Star Formation History (SFH)

‣ ...but we don’t have clear comprehension about explosion mechanism, progenitor, environment

‣ SN Ia rates at high-z are not clear yet!

Numerical Simulation Statistical Constraint

Page 18: The Type Ia Supernova Rate and Progenitor from …cosmic.riken.jp/snsnr2012/presen/day2/okumura.pdfThe Type Ia Supernova Rate and Progenitor from Transient Survey Jun Ernesto Okumura@SN+SNR

Why SN Ia rate?

‣ SN Ia is crucial tool for astronomy

1. Ia cosmology: homogeneous LCs

2. Chemical Evolution: ~0.6Msun Fe per event

3. Cosmic/Galactic Star Formation History (SFH)

‣ ...but we don’t have clear comprehension about explosion mechanism, progenitor, environment

‣ SN Ia rates at high-z are not clear yet!

Numerical Simulation Statistical Constraint

10-5

10-4

0 0.5 1 1.5 2

Ia R

ate

[yr-1

Mpc

-3]

redshift

Li+’11Dahlen+’08

Neil+’06Dilday+’11Graur+’11

Barbary+’12Perrett+’12

DTD index -0.5DTD index -1.0DTD index -1.5DTD index -2.0

RIa =� t

0�(t�)DTD(t� t�) dt�

Page 19: The Type Ia Supernova Rate and Progenitor from …cosmic.riken.jp/snsnr2012/presen/day2/okumura.pdfThe Type Ia Supernova Rate and Progenitor from Transient Survey Jun Ernesto Okumura@SN+SNR

Contents

1. IntroductionSN Ia progenitor, SN Ia rate and Delay Time Distribution

2. Rate Calculation from Subaru/XMM-Newton Deep SurveyTransient Surveys (SXDS)

Rate Calculation

Classification

3. Results and FutureRate ResultFuture Survey

Page 20: The Type Ia Supernova Rate and Progenitor from …cosmic.riken.jp/snsnr2012/presen/day2/okumura.pdfThe Type Ia Supernova Rate and Progenitor from Transient Survey Jun Ernesto Okumura@SN+SNR

Transient Studies

SpectrumLight Curves

ColorsBayesian analysis

classification

production ratehost galaxyprogenitor

(galaxy evolution)

transient sampleTransient Survey

Page 21: The Type Ia Supernova Rate and Progenitor from …cosmic.riken.jp/snsnr2012/presen/day2/okumura.pdfThe Type Ia Supernova Rate and Progenitor from Transient Survey Jun Ernesto Okumura@SN+SNR

Subaru/XMM-Newton Deep Survey (SXDS)

‣ Wide (~1deg2), Deep (mlim~27mag)- Optical(Subaru / Sprime-Cam)B, V, Rc, i’, z’

- NIR(UKIDSS Survey)J, H, K

- IR(Spitzer / IRAC)3.6μm, 4.5μm

- X-ray (XMM-Newton) 0.5-2.0, 2.0-10.0keV

NAOJ

‣ 5 fields (SXDS-C, N, S, E, W)

‣ 1~10 day cadence (5-7 epochs)

‣ 1040 Transients (Morokuma+08’)

Page 22: The Type Ia Supernova Rate and Progenitor from …cosmic.riken.jp/snsnr2012/presen/day2/okumura.pdfThe Type Ia Supernova Rate and Progenitor from Transient Survey Jun Ernesto Okumura@SN+SNR

Control Time

‣ Control Time = “effective visibility time” for observer

60 days

Page 23: The Type Ia Supernova Rate and Progenitor from …cosmic.riken.jp/snsnr2012/presen/day2/okumura.pdfThe Type Ia Supernova Rate and Progenitor from Transient Survey Jun Ernesto Okumura@SN+SNR

Control Time

‣ Control Time = “effective visibility time” for observer

‣ Montecarlo Simulation

<CT> = 57.54 days

Page 24: The Type Ia Supernova Rate and Progenitor from …cosmic.riken.jp/snsnr2012/presen/day2/okumura.pdfThe Type Ia Supernova Rate and Progenitor from Transient Survey Jun Ernesto Okumura@SN+SNR

Control Time & Rate Calculation

‣ Ia: spectral template (Hsiao+07’) + Nearby SDSS Ia sample

‣ CC: 12 individual template

Rate Calculation

Expected SN Ia number in redshift bin [z1, z2]

if r(z)=const. during [z1, z2]

Page 25: The Type Ia Supernova Rate and Progenitor from …cosmic.riken.jp/snsnr2012/presen/day2/okumura.pdfThe Type Ia Supernova Rate and Progenitor from Transient Survey Jun Ernesto Okumura@SN+SNR

SN candidate Selection

1.AGN-like,2. SN occured after

Transient Search370 remained

faint objects140 remained

Remove

SXDS Transient1040

Remove

24

25

26

27

28

0 50 100 150 200 250 300 350 400

mi’ [

mag

]

MJD - 52547 [day]

23.5

24

24.5

25

25.5

26 0 200 400 600 800 1000 1200

mi’ [

mag

]

MJD - 52547 [day]

25

25.5

26

26.5

27

27.5

28

28.5 0 50 100 150 200 250 300 350 400

mi’ [

mag

]

MJD - 52547 [day]

AGN-like faint

SN candidate

No variability after 2003 1. at last two points brighter than 26mag2. at least two points brighter than 5σbf

Page 26: The Type Ia Supernova Rate and Progenitor from …cosmic.riken.jp/snsnr2012/presen/day2/okumura.pdfThe Type Ia Supernova Rate and Progenitor from Transient Survey Jun Ernesto Okumura@SN+SNR

lightcurve fitting

‣ Ia: spectral template (Hsiao+07’)

redshift, stretch [0.7~1.2], MB [-17.5~-20.0], day at Max

‣ CC: 12 individual LC template

redshift, MB [-17.5~-20.0], day at Max

Page 27: The Type Ia Supernova Rate and Progenitor from …cosmic.riken.jp/snsnr2012/presen/day2/okumura.pdfThe Type Ia Supernova Rate and Progenitor from Transient Survey Jun Ernesto Okumura@SN+SNR

lightcurve fitting

‣ Ia: spectral template (Hsiao+07’)

redshift, stretch [0.7~1.2], MB [-17.5~-20.0], day at Max

‣ CC: 12 individual LC template

redshift, MB [-17.5~-20.0], day at Max

Ptype(z) / PDF (z)⇥ exp (��2LC(z)

2

)

Page 28: The Type Ia Supernova Rate and Progenitor from …cosmic.riken.jp/snsnr2012/presen/day2/okumura.pdfThe Type Ia Supernova Rate and Progenitor from Transient Survey Jun Ernesto Okumura@SN+SNR

SN template fittingIa other type

~42 SN Ia detected!

Page 29: The Type Ia Supernova Rate and Progenitor from …cosmic.riken.jp/snsnr2012/presen/day2/okumura.pdfThe Type Ia Supernova Rate and Progenitor from Transient Survey Jun Ernesto Okumura@SN+SNR

Possible Contamination?

Rate Calculation

the rate derivation in redshift bin [z1, z2]

1. PIa(z) : completeness of the fitting 2. 1-PII(z) : misclassification as CC SN

PIa(z): completeness

1-PII(z): misclassification ratioNest(z) = NIa(z)PIa(z) +NII(z)(1� PII(z))

NII(z) = 0.55⇥ (1 + z)3.6CTII(z)V (z)

nearby SN II rate (Botticella+08’)cosmic star formation rate (Hopkins&Beacom 06’)

Page 30: The Type Ia Supernova Rate and Progenitor from …cosmic.riken.jp/snsnr2012/presen/day2/okumura.pdfThe Type Ia Supernova Rate and Progenitor from Transient Survey Jun Ernesto Okumura@SN+SNR

SN Ia rate

‣ SN Ia rate rising up to z~1.4

‣ most of high-z results were derived from one epoch obs., which SXDS result have LC confirmation.

10-5

10-4

0 0.5 1 1.5 2

Ia R

ate

[yr-1

Mpc

-3]

redshift

This WorkLi+’11

Dahlen+’08Neil+’06

Dilday+’11Graur+’11

Barbary+’12Perrett+’12

Page 31: The Type Ia Supernova Rate and Progenitor from …cosmic.riken.jp/snsnr2012/presen/day2/okumura.pdfThe Type Ia Supernova Rate and Progenitor from Transient Survey Jun Ernesto Okumura@SN+SNR

Hyper Suprime-Cam

FoV: 1.77deg2 (7 times larger than SC, 5 times smaller than LSST)0.17”/pix (typical seeing @MK ~0.7”)6 broad-band filters(ugrizy)+several narrow-band filter

ACS

Page 32: The Type Ia Supernova Rate and Progenitor from …cosmic.riken.jp/snsnr2012/presen/day2/okumura.pdfThe Type Ia Supernova Rate and Progenitor from Transient Survey Jun Ernesto Okumura@SN+SNR

Hyper Suprime-Cam

FoV: 1.77deg2 (7 times larger than SC, 5 times smaller than LSST)0.17”/pix (typical seeing @MK ~0.7”)6 broad-band filters(ugrizy)+several narrow-band filter

ACS

1.5deg

HSC

Page 33: The Type Ia Supernova Rate and Progenitor from …cosmic.riken.jp/snsnr2012/presen/day2/okumura.pdfThe Type Ia Supernova Rate and Progenitor from Transient Survey Jun Ernesto Okumura@SN+SNR

Hyper Suprime-Cam

FoV: 1.77deg2 (7 times larger than SC, 5 times smaller than LSST)0.17”/pix (typical seeing @MK ~0.7”)6 broad-band filters(ugrizy)+several narrow-band filter

ACS

1.5deg

HSC

LSST

Page 34: The Type Ia Supernova Rate and Progenitor from …cosmic.riken.jp/snsnr2012/presen/day2/okumura.pdfThe Type Ia Supernova Rate and Progenitor from Transient Survey Jun Ernesto Okumura@SN+SNR

Hyper Suprime-Cam

FoV: 1.77deg2 (7 times larger than SC, 5 times smaller than LSST)0.17”/pix (typical seeing @MK ~0.7”)6 broad-band filters(ugrizy)+several narrow-band filter

ACS

1.5deg

HSC

LSST

10-5

10-4

10-3

0 0.5 1 1.5 2

Ia R

ate

[yr-1

Mpc

-3]

redshift

HSCOkumura+12’

Li+’11Dahlen+’08

Neil+’06Dilday+’11Graur+’11

Barbary+’12Perrett+’12

DTD index -0.5DTD index -1.0DTD index -1.5DTD index -2.0

Page 35: The Type Ia Supernova Rate and Progenitor from …cosmic.riken.jp/snsnr2012/presen/day2/okumura.pdfThe Type Ia Supernova Rate and Progenitor from Transient Survey Jun Ernesto Okumura@SN+SNR

Summary

‣ The importance of statistical (rate) studies of SNe are growing

‣ Subaru is one of the promising candidate for these studies

‣ Ia rate from SXDS has been derived

‣ Ia rate is consistent with other works and showing expectation to reduce the error in the near future (HSC-Survey!)

Page 36: The Type Ia Supernova Rate and Progenitor from …cosmic.riken.jp/snsnr2012/presen/day2/okumura.pdfThe Type Ia Supernova Rate and Progenitor from Transient Survey Jun Ernesto Okumura@SN+SNR

Supplemental Slides