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Tau polarization in charge current neutrino-nucleon Deep Inelastic Scattering

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4002 lJu 82 2v3827040/hp-pe:hviXraa∗

a

τ

τ−

ντ

τ

ν(k)+N(p)→τ−(k′,sµ)+X

ksµ

µsµ=0s2µ=−1.

dσ(k,q,s)∼LµνWµν.

Wµν=−gµνF1+pτpν

2p·q

F3

+qµqν

2p·q

F5

Fi

Lµν

=

+8msα󰀂

8󰀂

kµk′ν+kνk′µ−gµνk′αkα−iǫµναβ′βkνgαµ+kµgνα−gµνkα−iǫµνβαkβ

󰀁

kαk

󰀁k′

m

µ

Psdσ(k,q,s)−dσ(k,q,−s)

µ=

k′

m

󰀅

|k|,Eτ

′|

󰀆

,

eµp

=

󰀅

|k×k0,

et×k′

P2l+Pp2+P2t

.Pt

4πM

F

G2pτ

q(Eτ+pτcos(θ))

0

+F3

qF5

0

󰀃

Pp=

−1q(pτ+Eτcos(θ))

0

+F3

qF5cos(θ)

/F

0

Pp

=−

msin(θ)

q+

E

F50

q0

󰀆

󰀃

/F

E

qEτ

0=E−Eτ

FM

4=0

xF5=F2

W>M+mπ

2

2

Q

τ−

(N=

1

4 8.3 6.3 4.3 o62.=θ3 3 8.2 6.2 4.2001111 01 .001 0. 00. 0 2.4 4 8.3 6.3 4o.33 =θ2.3 3 8.2 6.2 4.2001111 01 .001 0. 00. 0

2.4 4 8.3 8k6.9eVd3 4oRo.0GB 3 =+θ 28.93 VR3 G8.2 6.2 4.2001111 01 .001 0. 00. 0 ]

VeG/2

mc8

3-0

1[ )θ(socdτEd/σdτ−

4 8.3 6.3 4.3] V2e.3G [ τ3E 8.2 6.2 4.21820 .... 0000 2.4 4 8.3 6.3 4].V3e 2G[. 3τ E3 8.2 6.2 4.21820 .... 0000

2.4 4 8.3 6.3 4].V3e 2G[. 3τ E3 8.2 6.2 4.21820 .... 0000 P

θ=0o3o6o

8 7 6 6=5 θ4 3 2 0011111501 .000001 .00- 0. 00e. 01 8 7 6 3=5 θ4 3 2 000111115001 .0001 000. 0-1 00. e 00. 01

8 7 8k9e6 Vd0RoGB= 5 θ+ V4R G3 2 000111115001 .000001 0. 00-1 0. 0e 0. 01 ]

VeG/2

mc8

3-0

1[ )θ(socdτEd/σd−

τ

8 7 6 ]Ve5 G[ τE4 3 2 1820 .... 0000

8 7 6 ]Ve5 G[ τE4 3 2 1820 .... 0000

8 7 6 ]Ve5 G[ τE4 3 2 1820 .... 0000 P

θ=0o3o6o

Pl

o o o

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