tau polarization in (anti-)neutrino-nucleon interactions
TRANSCRIPT
Tau Polarization in (anti-)neutrino-nucleon Interactions.
Mohammad Rafi Alamโ
Luis Alvarez-Ruso# Toru Satoโ โ
โ Aligarh Muslim University, India#IFIC-CSIC, U.V.,Valencia
โ โ RCNP, Osaka University, Japan
(ฯ-polarisation) M.R.A. March 17, 2021 1 / 24
Outline
1 Introduction
2 FormalismQuasi-elasticInelastic regionDeep Inelastic Scattering
3 Results
4 Summary
(ฯ-polarisation) M.R.A. March 17, 2021 2 / 24
Introduction
1 Introduction
2 FormalismQuasi-elasticInelastic regionDeep Inelastic Scattering
3 Results
4 Summary
(ฯ-polarisation) M.R.A. March 17, 2021 3 / 24
Introduction
Motivation
ฯ leptons were observed in experiments:Atmospheric Experiments : SuperK, IceCUBEAccelerator Experiments : DONOT, OPERA
New Experiments : SHiP, DsTau, DUNENeutrino Oscillation : appearance experiment ฮฝยตโ ฮฝฯ
Observed by the ฮฝฯ induced (CC)interaction(โ)ฮฝ ฯ (k,0) + N(p,M)โ ฯยฑ(kโฒ,ml) + X(pโฒ)
Challenges :short lifetime of ฯ (10โ13sec): Practically impossible to detect!
Observe the decay channels
Decay distribution has a strong dependence on ฯ spin polarization.
(ฯ-polarisation) M.R.A. March 17, 2021 4 / 24
Introduction
Motivation
Unpolarized
Polarized
0 |ฯ/4| |ฯ/2| |3ฯ/4| |ฯ|ฯ
0
1
2
3
4
5
6
7
8
Ev
ent/
bin
/4.5
ร1
019p
.o.t
./1
.65
kto
n/5
yea
re, ยต
ฯwith ฯ
without polarization
polarization
NPB727 (2005) 163-175
(ฯ-polarisation) M.R.A. March 17, 2021 4 / 24
Formalism
1 Introduction
2 FormalismQuasi-elasticInelastic regionDeep Inelastic Scattering
3 Results
4 Summary
(ฯ-polarisation) M.R.A. March 17, 2021 5 / 24
Formalism
(โ)ฮฝ ฯ (k,0) + N(p,M)โ ฯยฑ(kโฒ,ml) + X(pโฒ)
ฯยฑ rest frame
Lab frame QE, Inel, DIS
(ฯ-polarisation) M.R.A. March 17, 2021 6 / 24
Formalism
(โ)ฮฝ ฯ (k,0) + N(p,M)โ ฯยฑ(kโฒ,ml) + X(pโฒ)
kร kโฒ
[kร kโฒ]ร kโฒ
kโฒ
Polarization Vector
~ฮพ = PLฮพL+PtฮพT +๏ฟฝ๏ฟฝ๏ฟฝHHHPtโฒ ฮพP
(ฯ-polarisation) M.R.A. March 17, 2021 6 / 24
Formalism
Quasi-elastic[ฯยฑN
]Inelastic
[ฯยฑฯN, ฯยฑKN, ยท ยท ยท
]โโ (Dynamical Coupled Channel)
Deep-Inelastic[ฯยฑ+Jet]
Hadronic Tensor
Wยตฮฝ(p,q) =โgยตฮฝW1(pยทq,Q2) + pยตpฮฝ
M2 W2(pยทq,Q2)โ iฮตยตฮฝฮฑฮฒpฮฑqฮฒ
2M2 W3(pยทq,Q2)
+ qยตqฮฝ
M2 W4(pยทq,Q2) + pยตqฮฝ + qยตpฮฝ
2M2 W5(pยทq,Q2),+i pยตqฮฝ โ qยตpฮฝM2 W6(pยทq,Q2)
(ฯ-polarisation) M.R.A. March 17, 2021 7 / 24
Formalism
Quasi-elastic[ฯยฑN
]Inelastic
[ฯยฑฯN, ฯยฑKN, ยท ยท ยท
]โโ (Dynamical Coupled Channel)
Deep-Inelastic[ฯยฑ+Jet]
Hadronic Tensor
Wยตฮฝ(p,q) =โgยตฮฝW1(pยทq,Q2) + pยตpฮฝ
M2 W2(pยทq,Q2)โ iฮตยตฮฝฮฑฮฒpฮฑqฮฒ
2M2 W3(pยทq,Q2)
+ qยตqฮฝ
M2 W4(pยทq,Q2) + pยตqฮฝ + qยตpฮฝ
2M2 W5(pยทq,Q2),+i pยตqฮฝ โ qยตpฮฝM2 W6(pยทq,Q2)
(ฯ-polarisation) M.R.A. March 17, 2021 7 / 24
Formalism
FPtโฒ =โ2ml
MplW6 sinฮธ
FPt =โml sinฮธ[ยฑ(
2W1โW2โm2l
M2W4 + 2ElM
W5
)โ EฮฝMW3
]FPl =โ
[(2W1โ
m2l
M2W4
)(plโEl cosฮธ) +W2(pl+El cosฮธ)โ
2m2l
McosฮธW5
]โW3M
(cosฮธ(EฮฝEl+p2
l )โpl(Eฮฝ +El))
F =(
2W1 +m2l
M2 W4
)[Elโpl cosฮธ
]+W2(El+pl cosฮธ)
ยฑW3M
[(Eฮฝ +El)(Elโpl cosฮธ)โm2
l
]โ
2m2l
MW5
(ฯ-polarisation) M.R.A. March 17, 2021 8 / 24
Formalism Quasi-elastic
Quasi-elastic
ฮฝฯ (k) +n(p) โโ ฯโ(kโฒ) +p(pโฒ),ฮฝฯ (k) +p(p) โโ ฯ+(kโฒ) +n(pโฒ),
The hadronic current Jยต is expressed as:
Jยต = u(pโฒ)[VยตโAยต
]u(p)
ใN โฒ(pโฒ)|Vยต|N(p)ใ = u(pโฒ)[ฮณยตf1(Q2) + iฯยตฮฝ
qฮฝ
Mp+Mnf2(Q2) +
๏ฟฝ๏ฟฝ๏ฟฝ๏ฟฝHHHH
2 qยตMp+Mn
f3(Q2)]u(p),
ใN โฒ(pโฒ)|Aยต|N(p)ใ = u(pโฒ)[ฮณยตฮณ5g1(Q2) +
๏ฟฝ๏ฟฝ๏ฟฝ๏ฟฝ๏ฟฝ๏ฟฝ
๏ฟฝ๏ฟฝ๏ฟฝ๏ฟฝXXXXXXXXXX
iฯยตฮฝqฮฝ
Mp+Mnฮณ5g2(Q2) +
2 qยตMp+Mn
g3(Q2)ฮณ5
]u(p),
(ฯ-polarisation) M.R.A. March 17, 2021 9 / 24
Formalism Inelastic region
Dynamical Coupled Channel
Extension of Sato-Lee modelOnly ฯN state and works in โ(1232) region.
The building blocks of DCCstable two-particle channels (ฯN,ฮทN,Kฮ,Kฮฃ)quasi-stable channels (ฯN,ฯN,ฯโ)
The T -matrix are constructed for the meson-baryon scattering has beenobtained from the coupled-channel Lippmann-Schwinger equation:
ใฮฑ,~p โฒ|T (W )|ฮฒ,~pใ = ใฮฑ,~p โฒ|V (W )|ฮฒ,~pใ
+โฮณ
โซd3k ใฮฑ,~p โฒ|V (W )|ฮณ,~k ใG0
ฮณ(~k,W )ใฮณ,~k |T (W )|ฮฒ,~pใ
where ฮฑ,ฮฒ and ฮณ are the meson-baryon two-body states.Satisfies two- and three- body unitarity.
(ฯ-polarisation) M.R.A. March 17, 2021 10 / 24
Formalism Deep Inelastic Scattering
Structure Function
Wยตฮฝ =โ
q,qโฒ=u,d,...,u,d,...
โซdฮพ
ฮพfq(ฮพ,Q2)Kยตฮฝ(pq, q)|Vqqโฒ |2
Kยตฮฝ = ฮด[(pq + q)2โm2
qโฒ]ร2{โgยตฮฝpq ยท q+ 2pยตq pฮฝq โ iฮตยตฮฝฮฑฮฒpqฮฑpqฮฒ + (pยตq qฮฝ + qยตpฮฝq )
}.
momentum fraction
Parton distributionfuction
Elements of CKMMatrix
parton momentumpq = ฮพp, p is nucleonmomentum
parton mass
(ฯ-polarisation) M.R.A. March 17, 2021 11 / 24
Formalism Deep Inelastic Scattering
ฮพ0 = 2x/ฮป1 +โ
1 +4M2x2/(ฮปQ2)
1โคQ2 โค 10GeV 2
00.10.20.30.40.50.60.70.80.9
1
0 0.2 0.4 0.6 0.8 1
๐ = ๐ฅ
๐(๐๐โฒ=0)๐(๐๐โฒ=๐๐)
๐(๐๐โฒ = ๐๐)
๐(๐๐โฒ = 0)
๐(๐ฅ,
๐)
๐ฅ โ
(ฯ-polarisation) M.R.A. March 17, 2021 12 / 24
Formalism Deep Inelastic Scattering
Structure Function
W1 =โj
fj(ฮพ)|Vij |2 = F1(ฮพ) ,
W2 = M2
p ยท q+ ฮพM2
โj
2ฮพfj(ฮพ)|Vij |2 = M2
p ยท q+ ฮพM2F2(ฮพ) ,
W3 = M2
p ยท q+ ฮพM2
โj
2fj(ฮพ)|Vij |2
= M2
p ยท q+ ฮพM2F3(ฮพ) ,
W4 = M2
p ยท q+ ฮพM2
โj
fj(ฮพ)|Vij |2 = M2
p ยท q+ ฮพM2F4(ฮพ) ,
W5 = M2
p ยท q+ ฮพM2
โj
2fj(ฮพ)|Vij |2
= M2
p ยท q+ ฮพM2F5(ฮพ) .
(ฯ-polarisation) M.R.A. March 17, 2021 13 / 24
Formalism Deep Inelastic Scattering
Structure Function
F(N)1(l) = |Vud|2f
(N)d (ฮพl) + |Vus|2f (N)
s (ฮพl) +(|Vud|2 + |Vus|2)f (N)u (ฮพl)
F(N)1(h) = |Vcd|2f
(N)d (ฮพh) + |Vcs|2f (N)
s (ฮพh)
F(N)2(l) = 2ฮพl{|Vud|2f
(N)d (ฮพl) + |Vus|2f (N)
s (ฮพl) +(|Vud|2 + |Vus|2)f (N)u (ฮพl)}
F(N)2(h) = 2ฮพh{|Vcd|2f
(N)d (ฮพh) + |Vcs|2f (N)
s (ฮพh)}
F(N)3(l) = 2{|Vud|2f
(N)d (ฮพl) + |Vus|2f (N)
s (ฮพl)โ (|Vud|2 + |Vus|2)f (N)u (ฮพl)}
F(N)3(h) = 2{|Vcd|2f
(N)d (ฮพh) + |Vcs|2f (N)
s (ฮพh)}
F(N)4(l,h) = 0
F(N)5(l,h) = 2F (N)
1(l,h)
We use CTEQ6.6 for PDFs.
(ฯ-polarisation) M.R.A. March 17, 2021 14 / 24
Formalism Deep Inelastic Scattering
Structure Function
ฮพl = 2x1+โ
1+4M2x2/(Q2)
ฮพh = ฮพ0
ฮพN = 2x/ฮป1+โ
1+4M2x2/(Q2)
00.10.20.30.40.50.60.70.80.9
1
0 0.2 0.4 0.6 0.8 1
๐ = ๐ฅ
๐(๐๐โฒ=0)๐(๐๐โฒ=๐๐)
๐(๐๐โฒ = ๐๐)
๐(๐๐โฒ = 0)
๐(๐ฅ,
๐)
๐ฅ โ
(ฯ-polarisation) M.R.A. March 17, 2021 14 / 24
Results
1 Introduction
2 FormalismQuasi-elasticInelastic regionDeep Inelastic Scattering
3 Results
4 Summary
(ฯ-polarisation) M.R.A. March 17, 2021 15 / 24
Results
Differential cross-section at Eฮฝ = 10 GeV & Wcut = 2.1GeV
00.20.40.60.8
11.21.41.61.8
2
0 2 4 6 8 10
๐๐๐ โ ๐โ๐
๐ธ๐ =10 GeV๐ = 0โ
๐๐/๐
๐๐๐
2 [10
โ38
๐๐2 /
๐บ๐๐
3 ]
๐๐[๐บ๐๐ ]
DIS DCC
0
0.5
1
1.5
2
2.5
3
0 2 4 6 8 10
๐ = 2.5โ
๐๐/๐
๐๐๐
2 [10
โ38
๐๐2 /
๐บ๐๐
3 ]
๐๐[๐บ๐๐ ]
ฮ
00.10.20.30.40.50.60.70.80.9
1
0 2 4 6 8 10
๐ = 5โ
๐๐/๐
๐๐๐
2 [10
โ38
๐๐2 /
๐บ๐๐
3 ]
๐๐[๐บ๐๐ ]
0
0.05
0.1
0.15
0.2
0.25
0 2 4 6 8 10
๐ = 7.5โ
๐๐/๐
๐๐๐
2 [10
โ38
๐๐2 /
๐บ๐๐
3 ]
๐๐[๐บ๐๐ ]
00.20.40.60.8
11.21.41.61.8
0 2 4 6 8 10
๐๐๐ โ ๐+๐
๐ธ๐ =10 GeV๐ = 0โ
๐๐/๐
๐๐๐
2 [10
โ38
๐๐2 /
๐บ๐๐
3 ]
๐๐[๐บ๐๐ ]
DIS DCC
0
0.5
1
1.5
2
2.5
0 2 4 6 8 10
๐ = 2.5โ
๐๐/๐
๐๐๐
2 [10
โ38
๐๐2 /
๐บ๐๐
3 ]
๐๐[๐บ๐๐ ]
ฮ
0
0.1
0.2
0.3
0.4
0.5
0.6
0.7
0 2 4 6 8 10
๐ = 5โ
๐๐/๐
๐๐๐
2 [10
โ38
๐๐2 /
๐บ๐๐
3 ]
๐๐[๐บ๐๐ ]
0
0.02
0.04
0.06
0.08
0.1
0.12
0.14
0.16
0 2 4 6 8 10
๐ = 7.5โ
๐๐/๐
๐๐๐
2 [10
โ38
๐๐2 /
๐บ๐๐
3 ]
๐๐[๐บ๐๐ ]
(ฯ-polarisation) M.R.A. March 17, 2021 16 / 24
Results
Degree of polarization
00.10.20.30.40.50.60.70.80.9
1
0 1 2 3 4 5 6 7 8 9 10
๐๐๐ โ ๐โ๐
๐ธ๐ =10 GeV๐ = 0โ
|๐|
๐๐[๐บ๐๐ ]
DIS DCC
0.60.650.7
0.750.8
0.850.9
0.951
0 1 2 3 4 5 6 7 8 9 10
๐ = 2.5โ
|๐|
๐๐[๐บ๐๐ ]
ฮ
0.80.820.840.860.880.9
0.920.940.960.98
1
0 1 2 3 4 5 6 7 8 9 10
๐ = 5โ
|๐|
๐๐[๐บ๐๐ ]
0.86
0.88
0.9
0.92
0.94
0.96
0.98
1
0 1 2 3 4 5 6 7 8 9 10
๐ = 7.5โ
|๐|
๐๐[๐บ๐๐ ]
00.10.20.30.40.50.60.70.80.9
1
0 1 2 3 4 5 6 7 8 9 10
๐๐๐ โ ๐+๐
๐ธ๐ =10 GeV๐ = 0โ
|๐|
๐๐[๐บ๐๐ ]
DIS DCC
0.4
0.5
0.6
0.7
0.8
0.9
1
0 1 2 3 4 5 6 7 8 9 10
๐ = 2.5โ
|๐|
๐๐[๐บ๐๐ ]
ฮ
0.4
0.5
0.6
0.7
0.8
0.9
1
0 1 2 3 4 5 6 7 8 9 10
๐ = 5โ
|๐|
๐๐[๐บ๐๐ ]
0.4
0.5
0.6
0.7
0.8
0.9
1
0 1 2 3 4 5 6 7 8 9 10
๐ = 7.5โ
|๐|
๐๐[๐บ๐๐ ]
(ฯ-polarisation) M.R.A. March 17, 2021 17 / 24
Results
Polarization angle ฮธP = cosโ1[PLPT
]Eฮฝ = 5GeV
โ1
โ0.5
0
0.5
1
0.5 1 1.5 2 2.5 3 3.5 4 4.5 5
๐๐๐ โ ๐โ๐
๐ธ๐ =05 GeV๐ = 0โ
cos(
๐ ๐)
๐๐[๐บ๐๐ ]
DIS DCC
โ0.6โ0.4โ0.2
00.20.40.60.8
1
0.5 1 1.5 2 2.5 3 3.5 4 4.5 5
๐ = 2.5โ
cos(
๐ ๐)
๐๐[๐บ๐๐ ]
ฮ
โ0.8โ0.6โ0.4โ0.2
00.20.40.60.8
1
0.5 1 1.5 2 2.5 3 3.5 4 4.5 5
๐ = 5โ
cos(
๐ ๐)
๐๐[๐บ๐๐ ]
โ0.6
โ0.4
โ0.2
0
0.2
0.4
0.6
0.8
1
0.5 1 1.5 2 2.5 3 3.5 4 4.5 5
๐ = 7.5โ
cos(
๐ ๐)
๐๐[๐บ๐๐ ]
โ1
โ0.5
0
0.5
1
0.5 1 1.5 2 2.5 3 3.5 4 4.5 5
๐๐๐ โ ๐โ๐
๐ธ๐ =05 GeV๐ = 0โ
cos(
๐ ๐)
๐๐[๐บ๐๐ ]
DIS DCC
โ0.4
โ0.2
0
0.2
0.4
0.6
0.8
1
0.5 1 1.5 2 2.5 3 3.5 4 4.5 5
๐ = 2.5โ
cos(
๐ ๐)
๐๐[๐บ๐๐ ]
ฮ
โ0.4
โ0.2
0
0.2
0.4
0.6
0.8
1
0.5 1 1.5 2 2.5 3 3.5 4 4.5 5
๐ = 5โ
cos(
๐ ๐)
๐๐[๐บ๐๐ ]
โ0.4
โ0.2
0
0.2
0.4
0.6
0.8
0.5 1 1.5 2 2.5 3 3.5 4 4.5 5
๐ = 7.5โ
cos(
๐ ๐)
๐๐[๐บ๐๐ ]
(ฯ-polarisation) M.R.A. March 17, 2021 18 / 24
Results
โ1
โ0.5
0
0.5
1
0.5 1 1.5 2 2.5 3 3.5 4 4.5 5
๐๐๐ โ ๐+๐
๐ธ๐ =05 GeV๐ = 0โ
cos(
๐ ๐)
๐๐[๐บ๐๐ ]
DIS DCC
โ0.8โ0.6โ0.4โ0.2
00.20.40.60.8
1
0.5 1 1.5 2 2.5 3 3.5 4 4.5 5
๐ = 2.5โco
s(๐ ๐
)
๐๐[๐บ๐๐ ]
ฮ
โ0.4
โ0.2
0
0.2
0.4
0.6
0.8
1
0.5 1 1.5 2 2.5 3 3.5 4 4.5 5
๐ = 5โ
cos(
๐ ๐)
๐๐[๐บ๐๐ ]
โ0.2
0
0.2
0.4
0.6
0.8
1
0.5 1 1.5 2 2.5 3 3.5 4 4.5 5
๐ = 7.5โ
cos(
๐ ๐)
๐๐[๐บ๐๐ ]
โ1
โ0.5
0
0.5
1
0.5 1 1.5 2 2.5 3 3.5 4 4.5 5
๐๐๐ โ ๐+๐
๐ธ๐ =05 GeV๐ = 0โ
cos(
๐ ๐)
๐๐[๐บ๐๐ ]
DIS DCC
โ1โ0.8โ0.6โ0.4โ0.2
00.20.40.60.8
1
0.5 1 1.5 2 2.5 3 3.5 4 4.5 5
๐ = 2.5โ
cos(
๐ ๐)
๐๐[๐บ๐๐ ]
ฮ
โ1โ0.8โ0.6โ0.4โ0.2
00.20.40.60.8
1
0.5 1 1.5 2 2.5 3 3.5 4 4.5 5
๐ = 5โco
s(๐ ๐
)
๐๐[๐บ๐๐ ]
โ1โ0.8โ0.6โ0.4โ0.2
00.20.40.60.8
1
0.5 1 1.5 2 2.5 3 3.5 4 4.5 5
๐ = 7.5โ
cos(
๐ ๐)
๐๐[๐บ๐๐ ]
(ฯ-polarisation) M.R.A. March 17, 2021 19 / 24
Results
โ1โ0.8โ0.6โ0.4โ0.2
00.20.40.60.8
1
0 2 4 6 8 10 12 14 16 18 20
๐๐๐ โ ๐โ๐
๐ธ๐ =20 GeV๐ = 0โ
cos(
๐ ๐)
๐๐[๐บ๐๐ ]
DIS DCC
โ1โ0.8โ0.6โ0.4โ0.2
00.20.40.60.8
1
0 2 4 6 8 10 12 14 16 18 20
๐ = 2.5โco
s(๐ ๐
)
๐๐[๐บ๐๐ ]
โ1โ0.8โ0.6โ0.4โ0.2
00.20.40.60.8
1
0 2 4 6 8 10 12 14 16 18 20
๐ = 5โ
cos(
๐ ๐)
๐๐[๐บ๐๐ ]
โ1โ0.8โ0.6โ0.4โ0.2
00.20.40.60.8
1
0 2 4 6 8 10 12 14 16 18 20
๐ = 7.5โ
cos(
๐ ๐)
๐๐[๐บ๐๐ ]
โ1โ0.8โ0.6โ0.4โ0.2
00.20.40.60.8
1
0 2 4 6 8 10 12 14 16 18 20
๐๐๐ โ ๐โ๐
๐ธ๐ =20 GeV๐ = 0โ
cos(
๐ ๐)
๐๐[๐บ๐๐ ]
DIS DCC
โ1โ0.8โ0.6โ0.4โ0.2
00.20.40.60.8
1
0 2 4 6 8 10 12 14 16 18 20
๐ = 2.5โ
cos(
๐ ๐)
๐๐[๐บ๐๐ ]
โ1โ0.8โ0.6โ0.4โ0.2
00.20.40.60.8
1
0 2 4 6 8 10 12 14 16 18 20
๐ = 5โco
s(๐ ๐
)
๐๐[๐บ๐๐ ]
โ1โ0.8โ0.6โ0.4โ0.2
00.20.40.60.8
1
0 2 4 6 8 10 12 14 16 18 20
๐ = 7.5โ
cos(
๐ ๐)
๐๐[๐บ๐๐ ]
(ฯ-polarisation) M.R.A. March 17, 2021 20 / 24
Results
โ1โ0.8โ0.6โ0.4โ0.2
00.20.40.60.8
1
0 2 4 6 8 10 12 14 16 18 20
๐๐๐ โ ๐+๐
๐ธ๐ =20 GeV๐ = 0โ
cos(
๐ ๐)
๐๐[๐บ๐๐ ]
DIS DCC
โ1โ0.8โ0.6โ0.4โ0.2
00.20.40.60.8
1
0 2 4 6 8 10 12 14 16 18 20
๐ = 2.5โco
s(๐ ๐
)
๐๐[๐บ๐๐ ]
โ1โ0.8โ0.6โ0.4โ0.2
00.20.40.60.8
1
0 2 4 6 8 10 12 14 16 18 20
๐ = 5โ
cos(
๐ ๐)
๐๐[๐บ๐๐ ]
โ1โ0.8โ0.6โ0.4โ0.2
00.20.40.60.8
1
0 2 4 6 8 10 12 14 16 18 20
๐ = 7.5โ
cos(
๐ ๐)
๐๐[๐บ๐๐ ]
โ1โ0.8โ0.6โ0.4โ0.2
00.20.40.60.8
1
0 2 4 6 8 10 12 14 16 18 20
๐๐๐ โ ๐+๐
๐ธ๐ =20 GeV๐ = 0โ
cos(
๐ ๐)
๐๐[๐บ๐๐ ]
DIS DCC
โ1โ0.8โ0.6โ0.4โ0.2
00.20.40.60.8
1
0 2 4 6 8 10 12 14 16 18 20
๐ = 2.5โ
cos(
๐ ๐)
๐๐[๐บ๐๐ ]
โ1โ0.8โ0.6โ0.4โ0.2
00.20.40.60.8
1
0 2 4 6 8 10 12 14 16 18 20
๐ = 5โco
s(๐ ๐
)
๐๐[๐บ๐๐ ]
โ1โ0.8โ0.6โ0.4โ0.2
00.20.40.60.8
1
0 2 4 6 8 10 12 14 16 18 20
๐ = 7.5โ
cos(
๐ ๐)
๐๐[๐บ๐๐ ]
(ฯ-polarisation) M.R.A. March 17, 2021 21 / 24
Results
2.5 5.0 7.5 10.0 12.5 15.0 17.5 20.0p ร cos( )
0.0
0.5
1.0
1.5
2.0
2.5
pร
sin(
)N + X at E = 20GeV
= 0= 2.5= 5= 7.5= 10
(ฯ-polarisation) M.R.A. March 17, 2021 22 / 24
Summary
1 Introduction
2 FormalismQuasi-elasticInelastic regionDeep Inelastic Scattering
3 Results
4 Summary
(ฯ-polarisation) M.R.A. March 17, 2021 23 / 24
Summary
Summary
ฯ spin polarization is important for ฯ lepton detection
The use of Dynamical Couple Channel model helps us to push the invariantmass up to 2.1GeV. In this region, DCC gave an accurate description of theinelastic process.
In the DIS region, we improve the kinematic treatment (especially for low Q2)and write the structure functions in a more consistent way.
Around low invariant mass, the DIS results may need to improve for reasonablematching.
Thanks
(ฯ-polarisation) M.R.A. March 17, 2021 24 / 24
Summary
Summary
ฯ spin polarization is important for ฯ lepton detection
The use of Dynamical Couple Channel model helps us to push the invariantmass up to 2.1GeV. In this region, DCC gave an accurate description of theinelastic process.
In the DIS region, we improve the kinematic treatment (especially for low Q2)and write the structure functions in a more consistent way.
Around low invariant mass, the DIS results may need to improve for reasonablematching.
Thanks
(ฯ-polarisation) M.R.A. March 17, 2021 24 / 24