1

T2K

motoyasu@suketto.icrr.u-tokyo.ac.jp

ichikawa@scphys.kyoto-u.ac.jp

KEK

Megan Friend mfriend@kek.jp

2014 2 27

1

3 ( )

1 CP

1

CP

m2

32 m

3

NH m

3IH

23

sin2

23 0.5 ± 0.1 20%

23 / 4 (

)

1 [1]

Parameter Value

sin2 212

0.857 ± 0.024

sin2 223

> 0.95

sin2 213

0.095 ± 0.010

m221

(7.5 ± 0.20)× 10 5 eV2

| m232| (2.32

0.08+0.12)× 10 3 eV2

CP unknown

T2K 2009

7.8 × 1021 Protons On Target ( POT)

1

13 e2

sin2 2

23,

m232

3

CP T2K

T2K 13

13T2K CP

2013 T2K 8.4%

7.3 e [2] T2K

T2K

2 3 Maki-Nakagawa-Sakata(MNS)

(

e, , )

(

1,

2,

3) MNS

e

=

Ue1

Ue2

Ue3

U1

U2

U3

U1

U2

U3

1

2

3

0.6 GeV

295 km T2K e

e

P(

e) 4C

132 S

132 S

232 sin2

31

CP

8C

132C

12C

23S

13S

12S

23sin

CPsin

32sin

31sin

21

260

2

C

ij= cos

ij,

S

ij= sin

ij,

ij= m

ij2L /E

L E

CP

27%

e

13 O(100)

10%

2 ~ 3 CP

P( ) = 1 (C

134 sin2 2

23+ S

232 sin2 2

13)sin2

31

2

23 23

/ 4 / 4

e

sin2

23 e

3 T2K

T2K J-PARC 30GeV

295km 50kton

(SK)

[3]

[4]

T2K (1)

(2) ND (3)

SK

e e

e

T2K

4 T2K

2012 T2K [5][6]

7.8 × 1021 POT

2012

4.11 2 7.8 × 10

21 100%

100%

CP= 0

2 3

POT

(50% 50%)

Reconstructed Energy (GeV)0 0.2 0.4 0.6 0.8 1 1.2 1.4 1.6 1.8 2Ev

ents

/ 50

MeV

/ 7.

8e21

PO

T

0

5

10

15

20

25 Totale Signal e Signal

e + eBeam + Beam

Reconstructed Energy (GeV)0 0.2 0.4 0.6 0.8 1 1.2 1.4 1.6 1.8 2Ev

ents

/ 50

MeV

/ 7.

8e21

PO

T

012345678 Total

e Signal e Signal

e + eBeam + Beam

1

261

3

Reconstructed Energy (GeV)0 1 2 3 4 5 6 7 8 9 10Ev

ents

/ 50

MeV

/ 7.

8e21

PO

T

010203040506070 Total

e + e

Reconstructed Energy (GeV)0 1 2 3 4 5 6 7 8 9 10Ev

ents

/ 50

MeV

/ 7.

8e21

PO

T

0

5

10

15

20

25

30

Total

e + e

2

2

e+

e(CC) (CC)

+ (CC) CC NC

e

e

e+

e (CC)

+ (CC) NC

100% 211 2.3 41.2 1.6 33.2 290 100% 11.1 48.7 17.4 0.5 0.5 15.8

3 CCQE

CCQE

( ) CC(QE )

( ) Other

100% 782 (48) 544(40) 79 1493 100% 130 (263) 151(138) 33.5 715

4 2012 [5][6] SK

(ND ) 5.0% 4.2%

ND 7.4% 6.2% SK 3.9% 11.0%

9.7% 13.3%

4

4

binned likelihood

2lnL

2

4.2

T2K

90%

2

2

3 CP

sin2 213

1322sin

0 0.05 0.1 0.15 0.2 0.25 0.3 0.35 0.4

CP

-150

-100

-50

0

50

100

150

NHIH

1322sin

0 0.05 0.1 0.15 0.2 0.25 0.3 0.35 0.4

CP

-150

-100

-50

0

50

100

150

NHIH

1322sin

0 0.05 0.1 0.15 0.2 0.25 0.3 0.35 0.4

CP

-150

-100

-50

0

50

100

150

NHIH

(a) (b) (c)

3

sin2 2

13= 0.1 ,

CP= 90°

sin2 2

13 –

CP 90%

(a) 50% (b) 50%

(c)

262

4

1322sin

0 0.05 0.1 0.15 0.2 0.25

CP

-150

-100

-50

0

50

100

150

NHIH

1322sin

0 0.05 0.1 0.15 0.2 0.25

CP

-150

-100

-50

0

50

100

150

NHIH

(a) (b)

(a) 100% (b) 50% +50%

1322sin

0 0.05 0.1 0.15 0.2 0.25

CP

-150

-100

-50

0

50

100

150

NHIH

1322sin

0 0.05 0.1 0.15 0.2 0.25

CP

-150

-100

-50

0

50

100

150

NHIH

(c) (d)

(c) 100% (d) 50% +50%

4 ( ) 50% ( )

( ) ( ) sin2 2

13 CP90%

3

POT 50%

CP= 90°

NH IH 2

2

4 100%

13

2012 DayaBay

sin2 2

135%

4 CP

90° T2K

CP

T2K

5

m322

sin2 2

232

sin2

23= 0.4

4.3 CP

CP= 90°

sin2

23= 0.4

6 sin

CPCP

CP sin

CP= 0

2

sin

CP= 0 CP

90% CP

263

5

232sin

0.3 0.35 0.4 0.45 0.5 0.55 0.6 0.65 0.7

322 m

2.2

2.25

2.3

2.35

2.4

2.45

2.5

2.55

2.6-310

NHIH

232sin

0.3 0.35 0.4 0.45 0.5 0.55 0.6 0.65 0.7

322 m

2.2

2.25

2.3

2.35

2.4

2.45

2.5

2.55

2.6-310

NHIH

(a) 100% (b) 50% +50%

232sin

0.3 0.35 0.4 0.45 0.5 0.55 0.6 0.65 0.7

322 m

2.2

2.25

2.3

2.35

2.4

2.45

2.5

2.55

2.6-310

NHIH

232sin

0.3 0.35 0.4 0.45 0.5 0.55 0.6 0.65 0.7

322 m

2.2

2.25

2.3

2.35

2.4

2.45

2.5

2.55

2.6-310

NHIH

(c) 100% (d) 50% +50%

5 23

–

m32

2 90% CP

= 0 sin2

23= 0.4 ,

m 2

32= 2.4 × 10 3 eV2 ,

CP

-150 -100 -50 0 50 100 150

2

0123456789

10=0.4023

2sin=0.4523

2sin=0.5023

2sin=0.5523

2sin=0.6023

2sin

190%

CP

-150 -100 -50 0 50 100 150

2

0123456789

10=0.4023

2sin=0.4523

2sin=0.5023

2sin=0.5523

2sin=0.6023

2sin

190%

6 CP

sinCP

= 0 2012 T2K

CP,

23

50%

4.4 T2K

CP 23POT

2012

“ ”

7 CP POT

CP= 90° CP

264

6

POT21 100 1 2 3 4 5 6 7 8 9 10

2

0123456789

10

90% C.L.

C.L.3 =0.4023

2sin=0.5023

2sin=0.6023

2sinStat. Err. Only2012 Sys. Errs.Projected Sys. Errs.

POT21 100 1 2 3 4 5 6 7 8 9 10

2

0123456789

10

90% C.L.

C.L.3 =0.4023

2sin

=0.50232sin

=0.60232sin

Stat. Err. Only

Projected Sys. Errs.

(a) 100% (b) 50% +50% 7

CP= +90°

sin

CP0 vs. POT

23

2012

POT21 100 2 4 6 8 10

232

True

sin

0.35

0.4

0.45

0.5

0.55

0.6

0.65

C.L.390% C.L.

POT21 100 2 4 6 8 10

232

True

sin

0.35

0.4

0.45

0.5

0.55

0.6

0.65

C.L.390% C.L.

23 23 octant

8 23

vs. POT 23

/ 4 ( ) / 4 ( ) 2012

8

(a) 23

(b)

23POT

7 8 POT

T2K

4.5

4 2012 e

9.7%

13% 2013 [2][4]

8.8% 8.1% CP

5 ~ 8 %

~10 %

CP

23,

m2

23

5%

~ 7%

~14%

5 NOvA

810km NOvA

e

T2K

10% NOvA

30% NOvA

265

7

-beam

anti- -beam

9

T2K NOvA

T2K

T2K NOvA

CP

9 T2K

NOvA e

T2K NOvA

[7][8][9]

GloBES[10]

10

CPCP (

sin

CP0 )

T2K NOvA

10

2 11 90%

10 CP

sinCP

0 ( ) ( ) ( 4.3 5 ) T2K NO A POT 50% 50%

11

CP 23 sin

CP0 ( ) ( ) 90% ( )

T2K NO A T2K NO A POT

50% 50%

266

8

CP

sin2 2

23 CP

CP

T2K NOvA

CP

6

T2K e

7.8 × 1021

CP 6 7 ) 90° ( +90

° )

sin2

23 2

sin

CP= 0 CP

238)

sin2

230.45–0.57

90% 23

/ 4

NOvA , CP 10

11 , 10 11 )

5 ~ 8 %

~10 %

(

) 5%

T2K CP0

2 2

T2K CP

“CP ”

NOvA

90%

T2K

e

T2K NOvA

T2K

T2K

CP

[1] J. Beringer et al., (Particle Data Group), Phys. Rev. D

86, 010001 (2012) 2013 partial update.

[2] K. Abe et al., (T2K Collaboration), Phys. Rev. Lett.

112, 061802 (2014).

[3] K. Abe et al., (T2K Collaboration), Nucl. Instrum.

Meth. A659, 106 (2011).

[4] T2K 32-4 (2014).

[5] K. Abe et al., (T2K Collaboration), Phys. Rev. D88

032002 (2013).

[6] K. Abe et al., (T2K Collaboration), Phys. Rev. Lett.

111, 211803 (2012).

[7] http://www-nova.fnal.gov/plots_and_figures/plot_a

nd_figures.html

[8] http://nova-docdb.fnal.gov/cgi-bin/ShowDocument?d

ocid=7546

[9] http://nova-docdb.fnal.gov/cgi-bin/ShowDocument?d

ocid=7552

[10] http://www.mpi-hd.mpg.de/personalhomes/globes/

267