The W Search in SU (2) SU (2) U (1) Models at the Tevatron and - - PowerPoint PPT Presentation
The W Search in SU (2) SU (2) U (1) Models at the Tevatron and LHC Jiang-Hao Yu Michigan State University Based on the work with Ken Hsieh, Zhao Li, Kai Schmitz, and C.P. Yuan, in preparation and Ken Hsieh, Kai Schmitz, JY and
Jiang-Hao Yu
Michigan State University
Based on the work with Ken Hsieh, Zhao Li, Kai Schmitz, and C.–P. Yuan, in preparation and Ken Hsieh, Kai Schmitz, JY and C.–P. Yuan, arXiv:1003.3482 [hep-ph]
Motivation G221 models Parameter constraints Discovery potential Conclusion
1 Motivation 2 G221 models 3 Parameter constraints 4 Discovery potential 5 Conclusion
Jiang-Hao Yu — Pheno 2010 (May 11) The W ′ Search in SU(2) × SU(2) × U(1) Models 2/26
Motivation G221 models Parameter constraints Discovery potential Conclusion
1 Motivation 2 G221 models 3 Parameter constraints 4 Discovery potential 5 Conclusion
Jiang-Hao Yu — Pheno 2010 (May 11) The W ′ Search in SU(2) × SU(2) × U(1) Models 3/26
Motivation G221 models Parameter constraints Discovery potential Conclusion
Jiang-Hao Yu — Pheno 2010 (May 11) The W ′ Search in SU(2) × SU(2) × U(1) Models 4/26
Motivation G221 models Parameter constraints Discovery potential Conclusion
1 Motivation 2 G221 models 3 Parameter constraints 4 Discovery potential 5 Conclusion
Jiang-Hao Yu — Pheno 2010 (May 11) The W ′ Search in SU(2) × SU(2) × U(1) Models 5/26
Motivation G221 models Parameter constraints Discovery potential Conclusion
Step One
Jiang-Hao Yu — Pheno 2010 (May 11) The W ′ Search in SU(2) × SU(2) × U(1) Models 6/26
Motivation G221 models Parameter constraints Discovery potential Conclusion
Step Two
Jiang-Hao Yu — Pheno 2010 (May 11) The W ′ Search in SU(2) × SU(2) × U(1) Models 7/26
Motivation G221 models Parameter constraints Discovery potential Conclusion
Step Two
Jiang-Hao Yu — Pheno 2010 (May 11) The W ′ Search in SU(2) × SU(2) × U(1) Models 7/26
Motivation G221 models Parameter constraints Discovery potential Conclusion
Step Two
Jiang-Hao Yu — Pheno 2010 (May 11) The W ′ Search in SU(2) × SU(2) × U(1) Models 7/26
Motivation G221 models Parameter constraints Discovery potential Conclusion
Step Three
Jiang-Hao Yu — Pheno 2010 (May 11) The W ′ Search in SU(2) × SU(2) × U(1) Models 8/26
Motivation G221 models Parameter constraints Discovery potential Conclusion
Step Three
Jiang-Hao Yu — Pheno 2010 (May 11) The W ′ Search in SU(2) × SU(2) × U(1) Models 8/26
Motivation G221 models Parameter constraints Discovery potential Conclusion
Step Four
(1989)]; Nucl. Phys. B 331, 541 (1990).
[arXiv:hep-ph/0203036].
Jiang-Hao Yu — Pheno 2010 (May 11) The W ′ Search in SU(2) × SU(2) × U(1) Models 9/26
Motivation G221 models Parameter constraints Discovery potential Conclusion
To be specific, pick up one popular model
First stage
SU(2)2 doublet: Φ ∼ (1, 2, 1
2 ) and Φ ∼ ˜
u
Second stage
Bi-doublet: H ∼ (2, ¯ 2, 0) and H ∼ ˜ v · „ ˜ cβ ˜ sβ «
Mass Eigenstates
x = ˜
u2 ˜ v2 ,
MW ′ =
e˜ v 2c˜ θs ˜ φ
√x.
Model parameters (8 in BP-1, 7 in BP-2)
(e, ˜ v, s˜
θ, mt, mH , c ˜ φ, s2 ˜ β, MW ′ )
Jiang-Hao Yu — Pheno 2010 (May 11) The W ′ Search in SU(2) × SU(2) × U(1) Models 10/26
Motivation G221 models Parameter constraints Discovery potential Conclusion
To be specific, pick up one popular model
First stage
SU(2)2 doublet: Φ ∼ (1, 2, 1
2 ) and Φ ∼ ˜
u
Second stage
Bi-doublet: H ∼ (2, ¯ 2, 0) and H ∼ ˜ v · „ ˜ cβ ˜ sβ «
Mass Eigenstates
x = ˜
u2 ˜ v2 ,
MW ′ =
e˜ v 2c˜ θs ˜ φ
√x.
Model parameters (8 in BP-1, 7 in BP-2)
(e, ˜ v, s˜
θ, mt, mH , c ˜ φ, s2 ˜ β, MW ′ )
Jiang-Hao Yu — Pheno 2010 (May 11) The W ′ Search in SU(2) × SU(2) × U(1) Models 10/26
Motivation G221 models Parameter constraints Discovery potential Conclusion
To be specific, pick up one popular model
First stage
SU(2)2 doublet: Φ ∼ (1, 2, 1
2 ) and Φ ∼ ˜
u
Second stage
Bi-doublet: H ∼ (2, ¯ 2, 0) and H ∼ ˜ v · „ ˜ cβ ˜ sβ «
Mass Eigenstates
x = ˜
u2 ˜ v2 ,
MW ′ =
e˜ v 2c˜ θs ˜ φ
√x.
Model parameters (8 in BP-1, 7 in BP-2)
(e, ˜ v, s˜
θ, mt, mH , c ˜ φ, s2 ˜ β, MW ′ )
Jiang-Hao Yu — Pheno 2010 (May 11) The W ′ Search in SU(2) × SU(2) × U(1) Models 10/26
Motivation G221 models Parameter constraints Discovery potential Conclusion
To be specific, pick up one popular model
First stage
SU(2)2 doublet: Φ ∼ (1, 2, 1
2 ) and Φ ∼ ˜
u
Second stage
Bi-doublet: H ∼ (2, ¯ 2, 0) and H ∼ ˜ v · „ ˜ cβ ˜ sβ «
Mass Eigenstates
x = ˜
u2 ˜ v2 ,
MW ′ =
e˜ v 2c˜ θs ˜ φ
√x.
Model parameters (8 in BP-1, 7 in BP-2)
(e, ˜ v, s˜
θ, mt, mH , c ˜ φ, s2 ˜ β, MW ′ )
Jiang-Hao Yu — Pheno 2010 (May 11) The W ′ Search in SU(2) × SU(2) × U(1) Models 10/26
Motivation G221 models Parameter constraints Discovery potential Conclusion
1 Motivation 2 G221 models 3 Parameter constraints 4 Discovery potential 5 Conclusion
Jiang-Hao Yu — Pheno 2010 (May 11) The W ′ Search in SU(2) × SU(2) × U(1) Models 11/26
Motivation G221 models Parameter constraints Discovery potential Conclusion
Global fitting of the low-energy and LEP data (LR-D)
37 observables included (using GAPP code by J. Erler): Z pole data (21): Total width ΓZ, cross section σhad., ratios R (f), LR, FB, and charge asymmetries ALR (f), AF B (f), and QF B; W ± and top data (3): Mass MW and total width ΓW , mt pole mass; νN-scattering (5): NC couplings “ gνN L ”2 and “ gνN R ”2, NC-CC ratios Rν and R¯
ν;
νe−-scattering (2): NC couplings gνe
V
and gνe
A ;
PV interactions (5): QW “
133Cs
” QW “
205Tl
” , QW (e), NC couplings C1, C2; τ lifetime (1). Focus on LR-D model in the rest of my talk. For other models, please refer to Ken Hsieh, Kai Schmitz, JY and C.–P. Yuan, arXiv:1003.3482 [hep-ph] χ2 ≡ P
i P2 i ≡ P i 1 σ2 i
“ ¯ Oexp.
i
− Otheo.
i
”2 ; χ2
(GeV)
w’
m 500 1000 1500 2000 2500 ) φ ∼ cos( 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1
) ) contour φ , cos(
w’
Plot : the ( m
95% CL bound
0.25 ≤ ) β ∼ (2
2sin ≤ 0.00 0.50 ≤ ) β ∼ (2
20.25 < sin 0.75 ≤ ) β ∼ (2
20.50 < sin 1.00 ≤ ) β ∼ (2
20.75 < sin
allowed (95% CL)
) ) contour φ , cos(
w’
Plot : the ( m Jiang-Hao Yu — Pheno 2010 (May 11) The W ′ Search in SU(2) × SU(2) × U(1) Models 12/26
Motivation G221 models Parameter constraints Discovery potential Conclusion
Global fitting of the low-energy and LEP data (LR-D)
37 observables included (using GAPP code by J. Erler): Z pole data (21): Total width ΓZ, cross section σhad., ratios R (f), LR, FB, and charge asymmetries ALR (f), AF B (f), and QF B; W ± and top data (3): Mass MW and total width ΓW , mt pole mass; νN-scattering (5): NC couplings “ gνN L ”2 and “ gνN R ”2, NC-CC ratios Rν and R¯
ν;
νe−-scattering (2): NC couplings gνe
V
and gνe
A ;
PV interactions (5): QW “
133Cs
” QW “
205Tl
” , QW (e), NC couplings C1, C2; τ lifetime (1). Focus on LR-D model in the rest of my talk. For other models, please refer to Ken Hsieh, Kai Schmitz, JY and C.–P. Yuan, arXiv:1003.3482 [hep-ph] χ2 ≡ P
i P2 i ≡ P i 1 σ2 i
“ ¯ Oexp.
i
− Otheo.
i
”2 ; χ2
) φ ∼ cos( 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1 ) β (2
2
sin 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1
)) contour β (2
2
), sin φ Allowed region for ( cos(
855 GeV 860 GeV 890 GeV 1000 GeV 1100 GeV 1200 GeV 1400 GeV 1600 GeV 2000 GeV 2500 GeV
allowed (95% CL)
)) contour β (2
2
), sin φ Allowed region for ( cos( Jiang-Hao Yu — Pheno 2010 (May 11) The W ′ Search in SU(2) × SU(2) × U(1) Models 12/26
Motivation G221 models Parameter constraints Discovery potential Conclusion
Direct searches at the Tevatron (LR-D)
Tevatron Data included: p¯ p → W
′± → eν with
R Ldt = 1.0fb−1; p¯ p → W
′± → t¯
b with R Ldt = 1.9fb−1; p¯ p → Z′ → ee with R Ldt = 3.6fb−1. Drell-Yan production and decay at NLO are used. The lower bound on mW ′ is lower than one in the SM-like W ′ model. Indirect constraints from Z′ search data
(GeV)
Z’M 200 400 600 800 1000 1200 1400 ) (fb)
+e
−e → Br(Z’ × Z’) → p (p σ
−210
−110 1 10
210
310
410
)
+
e
−
e → Br(Z’ × Z’) → p (p σ Indirect Bound from
lower bound higher bound SM−like W’ Observed 95% CL limit
)
+
e
−
e → Br(Z’ × Z’) → p (p σ Indirect Bound from (GeV)
W’
M 200 400 600 800 1000 1200 1400 1600 ) (fb) ν e → Br(W’ × W’) → p (p σ
−2
10
−1
10 1 10
2
10
3
10
4
10 ) at the Tevatron ν e → Br(W’ × W’) → p (p σ Bounds on
lower bound higher bound SM−like W’ Observed 95% CL limit
) at the Tevatron ν e → Br(W’ × W’) → p (p σ Bounds on (GeV)
W’
M 200 400 600 800 1000 1200 1400 1600 ) (fb) b t → Br(W’ × W’) → p (p σ
−2
10
−1
10 1 10
2
10
3
10
4
10
5
10 ) at the Tevatron b t → Br(W’ × W’) → p (p σ Bounds on
lower bound higher bound SM−like W’ Observed 95% CL limit
) at the Tevatron b t → Br(W’ × W’) → p (p σ Bounds on
Jiang-Hao Yu — Pheno 2010 (May 11) The W ′ Search in SU(2) × SU(2) × U(1) Models 13/26
Motivation G221 models Parameter constraints Discovery potential Conclusion
Direct searches at the Tevatron (LR-D)
Tevatron Data included: p¯ p → W
′± → eν with
R Ldt = 1.0fb−1; p¯ p → W
′± → t¯
b with R Ldt = 1.9fb−1; p¯ p → Z′ → ee with R Ldt = 3.6fb−1. Drell-Yan production and decay at NLO are used. The lower bound on mW ′ is lower than one in the SM-like W ′ model. Indirect constraints from Z′ search data
(GeV)
Z’M 200 400 600 800 1000 1200 1400 ) (fb)
+e
−e → Br(Z’ × Z’) → p (p σ
−210
−110 1 10
210
310
410
)
+
e
−
e → Br(Z’ × Z’) → p (p σ Indirect Bound from
lower bound higher bound SM−like W’ Observed 95% CL limit
)
+
e
−
e → Br(Z’ × Z’) → p (p σ Indirect Bound from (GeV)
W’
M 200 400 600 800 1000 1200 1400 1600 ) (fb) ν e → Br(W’ × W’) → p (p σ
−2
10
−1
10 1 10
2
10
3
10
4
10 ) at the Tevatron ν e → Br(W’ × W’) → p (p σ Bounds on
lower bound higher bound SM−like W’ Observed 95% CL limit
) at the Tevatron ν e → Br(W’ × W’) → p (p σ Bounds on
w’
m 500 1000 1500 2000 2500 ) φ ∼ cos( 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1
) ) contour φ , cos(
w’
Plot : the ( m
95% CL bound 0.25 ≤ ) β ∼ (2
2sin ≤ 0.00 0.50 ≤ ) β ∼ (2
20.25 < sin 0.75 ≤ ) β ∼ (2
20.50 < sin 1.00 ≤ ) β ∼ (2
20.75 < sin
allowed (95% CL)
) ) contour φ , cos(
w’
Plot : the ( m
Jiang-Hao Yu — Pheno 2010 (May 11) The W ′ Search in SU(2) × SU(2) × U(1) Models 13/26
Motivation G221 models Parameter constraints Discovery potential Conclusion
Combine the constraints from the low-energy, LEP, and Tevatron data
Combined constraints:
Theoretical bounds on the perturbativity of the gauge couplings is included; Tevatron data puts strong constraints on MW ′ ; Drell-Yan production of fermions is not sensitive to parameter sin2(2 ˜ β); Indirect constraints exclude some parameter region that Tevatron data favor.
(GeV)
w’
m 500 1000 1500 2000 2500 ) φ ∼ cos( 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1
) ) contour φ , cos(
w’
Plot : the ( m
95% CL bound 0.25 ≤ ) β ∼ (2
2sin ≤ 0.00 0.50 ≤ ) β ∼ (2
20.25 < sin 0.75 ≤ ) β ∼ (2
20.50 < sin 1.00 ≤ ) β ∼ (2
20.75 < sin
allowed (95% CL)
) ) contour φ , cos(
w’
Plot : the ( m
) φ ∼ cos( 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1 ) β (2
2
sin 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1
)) contour β (2
2
), sin φ Allowed region for ( cos(
855 GeV 860 GeV 890 GeV 1000 GeV 1100 GeV 1200 GeV 1400 GeV 1600 GeV 2000 GeV 2500 GeV
allowed (95% CL)
)) contour β (2
2
), sin φ Allowed region for ( cos(
) φ ∼ cos( 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1 ) β (2
2
sin 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1
)) contour β (2
2
), sin φ Allowed region for ( cos(
855 GeV 860 GeV 890 GeV 1000 GeV 1100 GeV 1200 GeV 1400 GeV 1600 GeV 2000 GeV 2500 GeV
)) contour β (2
2
), sin φ Allowed region for ( cos(
Jiang-Hao Yu — Pheno 2010 (May 11) The W ′ Search in SU(2) × SU(2) × U(1) Models 14/26
Motivation G221 models Parameter constraints Discovery potential Conclusion
Signature space at the Tevatron with L = 10 fb−1
(GeV)
w’
m 500 1000 1500 2000 2500 ) φ ∼ cos( 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1
−1
) ) contour with L = 10 fb φ , cos(
w’
Plot : the ( m
95% CL bound
−1
L =10 fb LEP and low energy
0.25 ≤ ) β ∼ (2
2
sin ≤ 0.00 0.50 ≤ ) β ∼ (2
2
0.25 < sin 0.75 ≤ ) β ∼ (2
2
0.50 < sin 1.00 ≤ ) β ∼ (2
2
0.75 < sin
allowed (95% CL)
−1
) ) contour with L = 10 fb φ , cos(
w’
Plot : the ( m
Jiang-Hao Yu — Pheno 2010 (May 11) The W ′ Search in SU(2) × SU(2) × U(1) Models 15/26
Motivation G221 models Parameter constraints Discovery potential Conclusion
1 Motivation 2 G221 models 3 Parameter constraints 4 Discovery potential 5 Conclusion
Jiang-Hao Yu — Pheno 2010 (May 11) The W ′ Search in SU(2) × SU(2) × U(1) Models 16/26
Motivation G221 models Parameter constraints Discovery potential Conclusion
Mininmal luminosity for 3 events (scanning allowed space in LR-D)
(GeV)
w’
m 1000 1500 2000 2500 3000 )
−1
(fb
) ν e → Br(w’ × w’) → (pp σ
L
−4
10
−3
10
−2
10
−1
10 1 10
2
10 at the LHC ν e → w’ → The minimum luminosity (3 events) of pp
= 7 TeV s = 14 TeV s at the LHC ν e → w’ → The minimum luminosity (3 events) of pp
(GeV)
w’
m 1000 1500 2000 2500 3000 )
−1
(fb
) b t → Br(w’ × w’) → (pp σ
L
−4
10
−3
10
−2
10
−1
10 1 10
2
10 at the LHC b t → w’ → The minimum luminosity (3 events) of pp
= 7 TeV s = 14 TeV s at the LHC b t → w’ → The minimum luminosity (3 events) of pp
(GeV)
w’
m 1000 1500 2000 2500 3000 3500 4000 4500 5000 )(fb) ν e → w’) Br(w’ → (pp σ
−1
10 1 10
2
10
3
10
4
10 ) at the LHC ν e → Br(w’ × σ Allowed region of the
= 14 TeV s Expected total rate
) at the LHC ν e → Br(w’ × σ Allowed region of the (GeV)
w’
m 1000 1500 2000 2500 3000 3500 4000 4500 5000 )(fb) b t → w’) Br(w’ → (pp σ
−1
10 1 10
2
10
3
10
4
10 ) at the LHC b t → Br(w’ × σ Allowed region of the
= 14 TeV s
) at the LHC b t → Br(w’ × σ Allowed region of the
Jiang-Hao Yu — Pheno 2010 (May 11) The W ′ Search in SU(2) × SU(2) × U(1) Models 17/26
Motivation G221 models Parameter constraints Discovery potential Conclusion
Predicted limits from LHC TDR (LR-D)
(GeV)
w’
m 500 1000 1500 2000 2500 3000 3500 4000 4500 5000 ) φ ∼ cos( 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1
Plot : Discovery potential at the LHC
95% CL bound
−1
L =10 fb = 14 TeV s LHC LEP and low energy
0.25 ≤ ) β ∼ (2
2
sin ≤ 0.00 0.50 ≤ ) β ∼ (2
2
0.25 < sin 0.75 ≤ ) β ∼ (2
2
0.50 < sin 1.00 ≤ ) β ∼ (2
2
0.75 < sin
allowed (95% CL)
Plot : Discovery potential at the LHC
Jiang-Hao Yu — Pheno 2010 (May 11) The W ′ Search in SU(2) × SU(2) × U(1) Models 18/26
Motivation G221 models Parameter constraints Discovery potential Conclusion
1 Motivation 2 G221 models 3 Parameter constraints 4 Discovery potential 5 Conclusion
Jiang-Hao Yu — Pheno 2010 (May 11) The W ′ Search in SU(2) × SU(2) × U(1) Models 19/26
Motivation G221 models Parameter constraints Discovery potential Conclusion
G221 models (can be viewed as an effective theory description) can be classified based on breaking patterns, fermion assignments, and Higgs representation. Tevatron direct searches put the strong bounds on MW ′, which is lower than one in SM-like W ′ model. It is important to include indrect data, which are sensitive to model parameters. We explore the discovery potential of the W ′ and signature space at the Tevatron and LHC. At the LHC, the needed luminosity in the single top channel is lower than one in the leptonic channel. Although W ′ → WZ channel is suppressed, W ′ → WH channel has leading-order contribution, and can be served as a golden channel to distinguish the BP-I from BP-II.
Jiang-Hao Yu — Pheno 2010 (May 11) The W ′ Search in SU(2) × SU(2) × U(1) Models 20/26
Motivation G221 models Parameter constraints Discovery potential Conclusion
Jiang-Hao Yu — Pheno 2010 (May 11) The W ′ Search in SU(2) × SU(2) × U(1) Models 21/26
Motivation G221 models Parameter constraints Discovery potential Conclusion
Jiang-Hao Yu — Pheno 2010 (May 11) The W ′ Search in SU(2) × SU(2) × U(1) Models 22/26
Motivation G221 models Parameter constraints Discovery potential Conclusion
lp-d, hp-d, fp-d, lr-d, nu-d, uu-d models
Jiang-Hao Yu — Pheno 2010 (May 11) The W ′ Search in SU(2) × SU(2) × U(1) Models 23/26
Motivation G221 models Parameter constraints Discovery potential Conclusion
˜ φ + 67.6 · c4 ˜ φ − 20.6 · s2 2˜ β
˜ φ−0.1 · c4 ˜ φ + 0.04 · s2 2˜ β
Jiang-Hao Yu — Pheno 2010 (May 11) The W ′ Search in SU(2) × SU(2) × U(1) Models 24/26
Motivation G221 models Parameter constraints Discovery potential Conclusion
2 Z 3 Σhad. 4 Re 5 RΜ 6 RΤ 7 AFBe 8 AFBΜ 9 AFBΤ 10 ALRΤ 11 ALRe 12 QFB 13 ALRs 14 s 15 Rb 16 Rc 17 AFBb 18 AFBc 19 ALRb 20 ALRc 21 ALRe 22 ALRe 23 ALRΜ 24 ALRΤ 25 ALRe 26 ALRs 27 MW 28 W 29 MW 30 W 42 mt 47 ΤΤ 48 gL
Ν N249 gR
Ν N250 ΚΝ N 51 RΝ 52 RΝ 53 RΝ 54 RΝ 55 RΝ 56 gV
e N57 gA
e N58 QWe 61 QW133Cs 62 QW205Tl 63 1 64 2
1 2 3 4 5
Pull x cΦ s22Β
Jiang-Hao Yu — Pheno 2010 (May 11) The W ′ Search in SU(2) × SU(2) × U(1) Models 25/26
Motivation G221 models Parameter constraints Discovery potential Conclusion
(GeV)
W’
M 200 400 600 800 1000 1200 1400 1600 Br(W’)
−3
10
−2
10
−1
10 1
W’ Decay Branching Ratio
) ν l → Br(W’ jj) → Br(W’ ) b t → Br(W’ H W) → Br(W’
W’ Decay Branching Ratio
) φ ∼ cos( 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1 ) ν e → Br(w’ × w’) → (pp σ 100 200 300 400 500 600
) φ ) at the LHC as cos( ν e → Br(w’ × σ The range of
855 GeV 860 GeV 890 GeV 950 GeV 1000 GeV 1100 GeV 1200 GeV 1400 GeV 1600 GeV 2000 GeV
) φ ) at the LHC as cos( ν e → Br(w’ × σ The range of
Jiang-Hao Yu — Pheno 2010 (May 11) The W ′ Search in SU(2) × SU(2) × U(1) Models 26/26