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Flavor Symmetry for Four Generations of Quarksand Leptons
Tom KephartVanderbilt University
MIAMI 2011 Conference
“An A5 Model of Four Lepton Generations,”Chian-Shu Chen, TWK and Tzu-Chiang Yuan, JHEP 1104, 015 (2011) arXiv:1011.3199 [hep-ph],
“Binary Icosahedral Flavor Symmetry for Four Generations of Quarks and Leptons,”C. S. Chen, TWK and T. C. Yuan, arXiv:1110.6233 [hep-ph].
December 17, 2011
Why Four Generations?
I Logical possibility
I Expt: LHC pheno–more of the same at higher mass? We haveseen it before.
I Theory: 4th generation provides UV completion ofSM/conformal fixed point at ∼10 TeV scale(P. Q. Hung and Chi Xiong, PLB 2011)
I Fits in AdS/CFT, Z7 orbifold model(C. M. Ho, P. Q. Hung, and TWK, arXiv:1102.3997)
Why Four Generations?
I Logical possibility
I Expt: LHC pheno–more of the same at higher mass? We haveseen it before.
I Theory: 4th generation provides UV completion ofSM/conformal fixed point at ∼10 TeV scale(P. Q. Hung and Chi Xiong, PLB 2011)
I Fits in AdS/CFT, Z7 orbifold model(C. M. Ho, P. Q. Hung, and TWK, arXiv:1102.3997)
Why Four Generations?
I Logical possibility
I Expt: LHC pheno–more of the same at higher mass? We haveseen it before.
I Theory: 4th generation provides UV completion ofSM/conformal fixed point at ∼10 TeV scale(P. Q. Hung and Chi Xiong, PLB 2011)
I Fits in AdS/CFT, Z7 orbifold model(C. M. Ho, P. Q. Hung, and TWK, arXiv:1102.3997)
Why Four Generations?
I Logical possibility
I Expt: LHC pheno–more of the same at higher mass? We haveseen it before.
I Theory: 4th generation provides UV completion ofSM/conformal fixed point at ∼10 TeV scale(P. Q. Hung and Chi Xiong, PLB 2011)
I Fits in AdS/CFT, Z7 orbifold model(C. M. Ho, P. Q. Hung, and TWK, arXiv:1102.3997)
Three Generation Flavor Models
I Models with good properties exist
I A4 ≡ T (tetrahedral symmetry) three generation lepton modelE. Ma and G. Rajasekaran, PRD, 2001
I T ′ (binary tetrahedral symmetry) three generation quark andlepton model P. Frampton and TWK, IJMPA, 1995
I Many other modelsRecent reviews with extensive references:G. Altarelli, arXiv:1002.0211H. Ishimori, et al., arXiv:1003.3552
Three Generation Flavor Models
I Models with good properties exist
I A4 ≡ T (tetrahedral symmetry) three generation lepton modelE. Ma and G. Rajasekaran, PRD, 2001
I T ′ (binary tetrahedral symmetry) three generation quark andlepton model P. Frampton and TWK, IJMPA, 1995
I Many other modelsRecent reviews with extensive references:G. Altarelli, arXiv:1002.0211H. Ishimori, et al., arXiv:1003.3552
Three Generation Flavor Models
I Models with good properties exist
I A4 ≡ T (tetrahedral symmetry) three generation lepton modelE. Ma and G. Rajasekaran, PRD, 2001
I T ′ (binary tetrahedral symmetry) three generation quark andlepton model P. Frampton and TWK, IJMPA, 1995
I Many other modelsRecent reviews with extensive references:G. Altarelli, arXiv:1002.0211H. Ishimori, et al., arXiv:1003.3552
Three Generation A4 Lepton Flavor Model
I Natural tribimaximal mixings(compatible with almost all neutrino oscillation experiments)
I Three light neutrino masses3L + (1 + 1′ + 1′′)R
I Three SM charged lepton masses
Three Generation A4 Lepton Flavor Model
I Natural tribimaximal mixings(compatible with almost all neutrino oscillation experiments)
I Three light neutrino masses3L + (1 + 1′ + 1′′)R
I Three SM charged lepton masses
Three Generation A4 Lepton Flavor Model
I Natural tribimaximal mixings(compatible with almost all neutrino oscillation experiments)
I Three light neutrino masses3L + (1 + 1′ + 1′′)R
I Three SM charged lepton masses
T ′ three generation model
I All the attractive attributes of the A4 model
I plus
I Models quark masses and mixings
I Calculable Cabibbo angleP. Frampton, TWK, and S. Matsuzaki, PRD, 2008
T ′ three generation model
I All the attractive attributes of the A4 model
I plus
I Models quark masses and mixings
I Calculable Cabibbo angleP. Frampton, TWK, and S. Matsuzaki, PRD, 2008
T ′ three generation model
I All the attractive attributes of the A4 model
I plus
I Models quark masses and mixings
I Calculable Cabibbo angleP. Frampton, TWK, and S. Matsuzaki, PRD, 2008
T ′ three generation model
I All the attractive attributes of the A4 model
I plus
I Models quark masses and mixings
I Calculable Cabibbo angleP. Frampton, TWK, and S. Matsuzaki, PRD, 2008
Four generation A5 and I ′ flavor models
I What if we find a fourth generation at the LHC?(Suggested by conformal fixed point models, see P.Q. Hung,et al.)
I Can we preserve the good properties of three generationmodels?
I A5 ≡ I (icosahedral symmetry) four generation lepton model
I I ′ (binary icosahedral symmetry) four generation quark andlepton model
“An A5 Model of Four Lepton Generations,” C. S. Chen, TWK and T. C. Yuan, JHEP 1104, 015 (2011)arXiv:1011.3199 [hep-ph]
“Binary Icosahedral Flavor Symmetry for Four Generations of Quarks and Leptons,” C. S. Chen, TWK andT. C. Yuan, arXiv:1110.6233 [hep-ph].
Four generation A5 and I ′ flavor models
I What if we find a fourth generation at the LHC?(Suggested by conformal fixed point models, see P.Q. Hung,et al.)
I Can we preserve the good properties of three generationmodels?
I A5 ≡ I (icosahedral symmetry) four generation lepton model
I I ′ (binary icosahedral symmetry) four generation quark andlepton model
“An A5 Model of Four Lepton Generations,” C. S. Chen, TWK and T. C. Yuan, JHEP 1104, 015 (2011)arXiv:1011.3199 [hep-ph]
“Binary Icosahedral Flavor Symmetry for Four Generations of Quarks and Leptons,” C. S. Chen, TWK andT. C. Yuan, arXiv:1110.6233 [hep-ph].
Four generation A5 and I ′ flavor models
I What if we find a fourth generation at the LHC?(Suggested by conformal fixed point models, see P.Q. Hung,et al.)
I Can we preserve the good properties of three generationmodels?
I A5 ≡ I (icosahedral symmetry) four generation lepton model
I I ′ (binary icosahedral symmetry) four generation quark andlepton model
“An A5 Model of Four Lepton Generations,” C. S. Chen, TWK and T. C. Yuan, JHEP 1104, 015 (2011)arXiv:1011.3199 [hep-ph]
“Binary Icosahedral Flavor Symmetry for Four Generations of Quarks and Leptons,” C. S. Chen, TWK andT. C. Yuan, arXiv:1110.6233 [hep-ph].
Four generation A5 and I ′ flavor models
I What if we find a fourth generation at the LHC?(Suggested by conformal fixed point models, see P.Q. Hung,et al.)
I Can we preserve the good properties of three generationmodels?
I A5 ≡ I (icosahedral symmetry) four generation lepton model
I I ′ (binary icosahedral symmetry) four generation quark andlepton model
“An A5 Model of Four Lepton Generations,” C. S. Chen, TWK and T. C. Yuan, JHEP 1104, 015 (2011)arXiv:1011.3199 [hep-ph]
“Binary Icosahedral Flavor Symmetry for Four Generations of Quarks and Leptons,” C. S. Chen, TWK andT. C. Yuan, arXiv:1110.6233 [hep-ph].
Relation between three and four generation symmetries
I Double covers
1→ Z2 → SU(2)→ SO(3)→ 1
we can restrict to the discrete cases
1→ Z2 → T ′ → A4 → 1
and
1→ Z2 → I ′ → A5 → 1
A5 as fourth generation discrete group–Lepton sectorA5 → A4
1 13 33′ 34 1 + 35 1′ + 1′′ + 3
Table: I → T (or A5 → A4) symmetry breaking.
I Need 3L + (1 + 1′ + 1′′)R at A4 level
I Choose doublets in 4LI Only the 5 contains 1′ + 1′′
I Choose 5R + 1R + 1R singlet νs
I Include 3L EW singlet
A5 as fourth generation discrete group–Lepton sectorA5 → A4
1 13 33′ 34 1 + 35 1′ + 1′′ + 3
Table: I → T (or A5 → A4) symmetry breaking.
I Need 3L + (1 + 1′ + 1′′)R at A4 level
I Choose doublets in 4L
I Only the 5 contains 1′ + 1′′
I Choose 5R + 1R + 1R singlet νs
I Include 3L EW singlet
A5 as fourth generation discrete group–Lepton sectorA5 → A4
1 13 33′ 34 1 + 35 1′ + 1′′ + 3
Table: I → T (or A5 → A4) symmetry breaking.
I Need 3L + (1 + 1′ + 1′′)R at A4 level
I Choose doublets in 4LI Only the 5 contains 1′ + 1′′
I Choose 5R + 1R + 1R singlet νs
I Include 3L EW singlet
A5 as fourth generation discrete group–Lepton sectorA5 → A4
1 13 33′ 34 1 + 35 1′ + 1′′ + 3
Table: I → T (or A5 → A4) symmetry breaking.
I Need 3L + (1 + 1′ + 1′′)R at A4 level
I Choose doublets in 4LI Only the 5 contains 1′ + 1′′
I Choose 5R + 1R + 1R singlet νs
I Include 3L EW singlet
A5 as fourth generation discrete group–Lepton sectorA5 → A4
1 13 33′ 34 1 + 35 1′ + 1′′ + 3
Table: I → T (or A5 → A4) symmetry breaking.
I Need 3L + (1 + 1′ + 1′′)R at A4 level
I Choose doublets in 4LI Only the 5 contains 1′ + 1′′
I Choose 5R + 1R + 1R singlet νs
I Include 3L EW singlet
A5 as fourth generation discrete group–Lepton sector
I Breaking A5 → A4 with S4, EW singlet 4 of A5, gives
I 4L → 3L + 1LI 5R + 1R + 1R → 3R + (1 + 1′ + 1′′)R + 1RI 3L → 3LI Three A4 style generations where we can have TBM
I Fourth decoupled heavier generation
I Plus other heavy νs
A5 as fourth generation discrete group–Lepton sector
I Breaking A5 → A4 with S4, EW singlet 4 of A5, gives
I 4L → 3L + 1L
I 5R + 1R + 1R → 3R + (1 + 1′ + 1′′)R + 1RI 3L → 3LI Three A4 style generations where we can have TBM
I Fourth decoupled heavier generation
I Plus other heavy νs
A5 as fourth generation discrete group–Lepton sector
I Breaking A5 → A4 with S4, EW singlet 4 of A5, gives
I 4L → 3L + 1LI 5R + 1R + 1R → 3R + (1 + 1′ + 1′′)R + 1R
I 3L → 3LI Three A4 style generations where we can have TBM
I Fourth decoupled heavier generation
I Plus other heavy νs
A5 as fourth generation discrete group–Lepton sector
I Breaking A5 → A4 with S4, EW singlet 4 of A5, gives
I 4L → 3L + 1LI 5R + 1R + 1R → 3R + (1 + 1′ + 1′′)R + 1RI 3L → 3L
I Three A4 style generations where we can have TBM
I Fourth decoupled heavier generation
I Plus other heavy νs
A5 as fourth generation discrete group–Lepton sector
I Breaking A5 → A4 with S4, EW singlet 4 of A5, gives
I 4L → 3L + 1LI 5R + 1R + 1R → 3R + (1 + 1′ + 1′′)R + 1RI 3L → 3LI Three A4 style generations where we can have TBM
I Fourth decoupled heavier generation
I Plus other heavy νs
A5 as fourth generation discrete group–Lepton sector
I Breaking A5 → A4 with S4, EW singlet 4 of A5, gives
I 4L → 3L + 1LI 5R + 1R + 1R → 3R + (1 + 1′ + 1′′)R + 1RI 3L → 3LI Three A4 style generations where we can have TBM
I Fourth decoupled heavier generation
I Plus other heavy νs
A5 as fourth generation discrete group–Lepton sector
I Breaking A5 → A4 with S4, EW singlet 4 of A5, gives
I 4L → 3L + 1LI 5R + 1R + 1R → 3R + (1 + 1′ + 1′′)R + 1RI 3L → 3LI Three A4 style generations where we can have TBM
I Fourth decoupled heavier generation
I Plus other heavy νs
I ′ as forth generation discrete groups–Quarks and Leptons
I ′ → T ′ I ′ → T ′
1 1 2s 23 3 2′s 23′ 3 4s 2′ + 2′′
4 1 + 3 6s 2 + 2′ + 2′′
5 1′ + 1′′ + 3
Table: I ′ → T ′ symmetry breaking.
I Choose same lepton sector as A5. (Full model has additionalZ2 ⊗ Z3 to avoid unwanted terms in Lagrangian.)
I Seek same three generation quark sector as T ′ model
I ′ as forth generation discrete groups–Quarks and Leptons
I ′ → T ′ I ′ → T ′
1 1 2s 23 3 2′s 23′ 3 4s 2′ + 2′′
4 1 + 3 6s 2 + 2′ + 2′′
5 1′ + 1′′ + 3
Table: I ′ → T ′ symmetry breaking.
I Choose same lepton sector as A5. (Full model has additionalZ2 ⊗ Z3 to avoid unwanted terms in Lagrangian.)
I Seek same three generation quark sector as T ′ model
I ′
⊗ 1 3 3′ 4 5 2s 2′s 4s 6s
1 1 3 3′ 4 5 2s 2′s 4s 6s3 3 1⊕3⊕
54⊕ 5 3′ ⊕ 4⊕ 5 3⊕3′⊕4⊕
52s ⊕4s
6s 2s⊕4s⊕6s 2′s ⊕ 4s ⊕6s ⊕ 6s
3′ 3′ 4⊕ 5 1 ⊕3′ ⊕ 5
3⊕ 4⊕ 5 3⊕3′⊕4⊕5
6s 2′s ⊕4s
2′s⊕4s⊕6s 2s ⊕ 2′s ⊕4s ⊕ 6s
4 4 3′ ⊕4⊕ 5
3⊕4⊕5
1⊕3⊕3′⊕4⊕ 5
3⊕3′⊕4⊕5⊕ 5
2′s ⊕6s
2s ⊕6s
4s⊕6s⊕6s 2s ⊕ 2′s ⊕4s ⊕ 4s ⊕6s ⊕ 6s
5 5 3 ⊕3′ ⊕4⊕ 5
3 ⊕3′ ⊕4⊕ 5
3⊕3′⊕4⊕5⊕ 5
1⊕3⊕3′⊕4⊕4⊕5⊕5
4s ⊕6s
4s ⊕6s
2s ⊕ 2′s ⊕4s⊕6s⊕6s
2s ⊕ 2′s ⊕4s ⊕ 4s ⊕6s⊕6s⊕6s
2s 2s 2s⊕4s 6s 2′s ⊕ 6s 4s ⊕ 6s 1⊕3 4 3⊕ 5 3′ ⊕ 4⊕ 5
2′s 2′s 6s 2′s ⊕4s 2s ⊕ 6s 4s ⊕ 6s 4 1 ⊕3′
3′ ⊕ 5 3⊕ 4⊕ 5
4s 4s 2s ⊕4s⊕6s
2′s ⊕4s ⊕6s
4s⊕6s⊕6s 2s ⊕ 2′s ⊕4s⊕6s⊕6s
3⊕5 3′ ⊕5
3′ ⊕ 4⊕ 5 3⊕3′⊕4⊕4⊕ 5⊕ 5
6s 6s 2′s ⊕4s ⊕6s⊕6s
2s ⊕2′s ⊕4s ⊕6s
2s ⊕ 2′s ⊕4s ⊕ 4s ⊕6s ⊕ 6s
2s ⊕ 2′s ⊕4s ⊕ 4s ⊕6s⊕6s⊕6s
3′ ⊕4⊕5
3 ⊕4⊕5
3⊕3′⊕4⊕4⊕ 5⊕ 5
1⊕3⊕3⊕3′ ⊕ 3′ ⊕4⊕4⊕5⊕5⊕ 5
Table: Multiplication rules for the binary icosahedral group I ′.
Fourth generation discrete groups–Quarks and Leptons
I Quarks assigned to “spinor” irreps of I ′
I The assignment of the quark sector under I ′ × Z2 × Z3(ud
)L
(cs
)L︸ ︷︷ ︸
U1L(2s ,+1,ω)
and
(tb
)L
(t ′
b′
)L︸ ︷︷ ︸
U2L(2s ,+1,ω2)
I
dR , sR︸ ︷︷ ︸SR
uR , cR︸ ︷︷ ︸CR︸ ︷︷ ︸
DsR(4s ,+1,+1)
, bR , b′R︸ ︷︷ ︸
DbR(2′s ,−1,ω2)
, tR , t′R︸ ︷︷ ︸
DtR(2′s ,+1,ω2)
(t ′, b′)TL , b′R and t ′R denote the chiral fields of the fourthgeneration quarks.
Fourth generation discrete groups–Quarks and Leptons
I Quarks assigned to “spinor” irreps of I ′
I The assignment of the quark sector under I ′ × Z2 × Z3(ud
)L
(cs
)L︸ ︷︷ ︸
U1L(2s ,+1,ω)
and
(tb
)L
(t ′
b′
)L︸ ︷︷ ︸
U2L(2s ,+1,ω2)
I
dR , sR︸ ︷︷ ︸SR
uR , cR︸ ︷︷ ︸CR︸ ︷︷ ︸
DsR(4s ,+1,+1)
, bR , b′R︸ ︷︷ ︸
DbR(2′s ,−1,ω2)
, tR , t′R︸ ︷︷ ︸
DtR(2′s ,+1,ω2)
(t ′, b′)TL , b′R and t ′R denote the chiral fields of the fourthgeneration quarks.
Fourth generation discrete groups–Quarks and Leptons
I Quarks assigned to “spinor” irreps of I ′
I The assignment of the quark sector under I ′ × Z2 × Z3(ud
)L
(cs
)L︸ ︷︷ ︸
U1L(2s ,+1,ω)
and
(tb
)L
(t ′
b′
)L︸ ︷︷ ︸
U2L(2s ,+1,ω2)
I
dR , sR︸ ︷︷ ︸SR
uR , cR︸ ︷︷ ︸CR︸ ︷︷ ︸
DsR(4s ,+1,+1)
, bR , b′R︸ ︷︷ ︸
DbR(2′s ,−1,ω2)
, tR , t′R︸ ︷︷ ︸
DtR(2′s ,+1,ω2)
(t ′, b′)TL , b′R and t ′R denote the chiral fields of the fourthgeneration quarks.
I ′ symmetry breaking
I As with A5 → A4, we use S4 to break I ′ → T ′
I Quark field decomposition
U1L(2s ,+1, ω) → U1L(2,+1, ω) ,
U2L(2s ,+1, ω2) → U2L(2,+1, ω2) ,
DsR(4s ,+1,+1) → SR(2′,+1,+1) + CR(2′′,+1,+1)
DbR(2′s ,−1, ω2) → DbR(2,−1, ω2) ,
DtR(2′s ,+1, ω2) → DtR(2,+1, ω2)
I ′ symmetry breaking
I As with A5 → A4, we use S4 to break I ′ → T ′
I Quark field decomposition
U1L(2s ,+1, ω) → U1L(2,+1, ω) ,
U2L(2s ,+1, ω2) → U2L(2,+1, ω2) ,
DsR(4s ,+1,+1) → SR(2′,+1,+1) + CR(2′′,+1,+1)
DbR(2′s ,−1, ω2) → DbR(2,−1, ω2) ,
DtR(2′s ,+1, ω2) → DtR(2,+1, ω2)
Full scalar sector (same as A5 model)
I S4 is an EW singlet, 4 of I ′
I H4 and H ′4 are EW doublets and 4s of I ′
I Φ3 is an EW doublet, 3 of I ′
I I ′ → T ′ breaking for scalars
S4(4,+1,+1) → S1(1,+1,+1) + S3(3,+1,+1) ,
H4(4,+1, ω2) → H1(1,+1, ω2) + H3(3,+1, ω2)
H ′4(4,−1, ω2) → H ′1(1,−1, ω2) + H ′3(3,−1, ω2)
Φ3(3,+1, ω2) → Φ3(3,+1, ω2)
Full scalar sector (same as A5 model)
I S4 is an EW singlet, 4 of I ′
I H4 and H ′4 are EW doublets and 4s of I ′
I Φ3 is an EW doublet, 3 of I ′
I I ′ → T ′ breaking for scalars
S4(4,+1,+1) → S1(1,+1,+1) + S3(3,+1,+1) ,
H4(4,+1, ω2) → H1(1,+1, ω2) + H3(3,+1, ω2)
H ′4(4,−1, ω2) → H ′1(1,−1, ω2) + H ′3(3,−1, ω2)
Φ3(3,+1, ω2) → Φ3(3,+1, ω2)
Full scalar sector (same as A5 model)
I S4 is an EW singlet, 4 of I ′
I H4 and H ′4 are EW doublets and 4s of I ′
I Φ3 is an EW doublet, 3 of I ′
I I ′ → T ′ breaking for scalars
S4(4,+1,+1) → S1(1,+1,+1) + S3(3,+1,+1) ,
H4(4,+1, ω2) → H1(1,+1, ω2) + H3(3,+1, ω2)
H ′4(4,−1, ω2) → H ′1(1,−1, ω2) + H ′3(3,−1, ω2)
Φ3(3,+1, ω2) → Φ3(3,+1, ω2)
Full scalar sector (same as A5 model)
I S4 is an EW singlet, 4 of I ′
I H4 and H ′4 are EW doublets and 4s of I ′
I Φ3 is an EW doublet, 3 of I ′
I I ′ → T ′ breaking for scalars
S4(4,+1,+1) → S1(1,+1,+1) + S3(3,+1,+1) ,
H4(4,+1, ω2) → H1(1,+1, ω2) + H3(3,+1, ω2)
H ′4(4,−1, ω2) → H ′1(1,−1, ω2) + H ′3(3,−1, ω2)
Φ3(3,+1, ω2) → Φ3(3,+1, ω2)
I ′ results
I VeVs for H4, H ′4 and Φ3 can be chosen with a threegeneration tribimaximal mixing limit
U4gTBM =
1 0 0 00 1√
2− 1√
20
0√
13
√13
√13
0 −√
16 −
√16
√23
I and four neutrino masses
mν4 =Y 21 v
2H1
M1+
3Y 23 v
2
2M2, heavy
mν1 = mν3 =15Y 2
3 v2
2M2, light
mν2 = 0.
I ′ results
I VeVs for H4, H ′4 and Φ3 can be chosen with a threegeneration tribimaximal mixing limit
U4gTBM =
1 0 0 00 1√
2− 1√
20
0√
13
√13
√13
0 −√
16 −
√16
√23
I and four neutrino masses
mν4 =Y 21 v
2H1
M1+
3Y 23 v
2
2M2, heavy
mν1 = mν3 =15Y 2
3 v2
2M2, light
mν2 = 0.
VEVs
I S4 VEV for I ′ → T ′
〈S4〉 = (V ′S , 0, 0, 0)
I then VEVs of H ′3 and H ′1
〈H ′3〉 = (V ′31 ,V′32 ,V
′33) and 〈H ′1〉 = V ′1
I and VEV for Φ3
〈Φ3〉 = (v , v , v)
VEVs
I S4 VEV for I ′ → T ′
〈S4〉 = (V ′S , 0, 0, 0)
I then VEVs of H ′3 and H ′1
〈H ′3〉 = (V ′31 ,V′32 ,V
′33) and 〈H ′1〉 = V ′1
I and VEV for Φ3
〈Φ3〉 = (v , v , v)
VEVs
I S4 VEV for I ′ → T ′
〈S4〉 = (V ′S , 0, 0, 0)
I then VEVs of H ′3 and H ′1
〈H ′3〉 = (V ′31 ,V′32 ,V
′33) and 〈H ′1〉 = V ′1
I and VEV for Φ3
〈Φ3〉 = (v , v , v)
Conclusions
I Fourth generation is motivated by possibility of LHC phenoand UV completion of 3 generation models
I 3 generation A4 model of leptons generalizes naturally to 4generation A5 model of leptons
I Preserve TBM
I 3 generation T ′ model of quarks and leptons generalizesnaturally to 4 generation I ′ model of quarks and leptons
I Preserve TBM and many properties of quark sector
I Predictions of LHC pheno with extended fermion and scalarsectors, study of FCNCs, etc. –work in progress
Conclusions
I Fourth generation is motivated by possibility of LHC phenoand UV completion of 3 generation models
I 3 generation A4 model of leptons generalizes naturally to 4generation A5 model of leptons
I Preserve TBM
I 3 generation T ′ model of quarks and leptons generalizesnaturally to 4 generation I ′ model of quarks and leptons
I Preserve TBM and many properties of quark sector
I Predictions of LHC pheno with extended fermion and scalarsectors, study of FCNCs, etc. –work in progress
Conclusions
I Fourth generation is motivated by possibility of LHC phenoand UV completion of 3 generation models
I 3 generation A4 model of leptons generalizes naturally to 4generation A5 model of leptons
I Preserve TBM
I 3 generation T ′ model of quarks and leptons generalizesnaturally to 4 generation I ′ model of quarks and leptons
I Preserve TBM and many properties of quark sector
I Predictions of LHC pheno with extended fermion and scalarsectors, study of FCNCs, etc. –work in progress
Conclusions
I Fourth generation is motivated by possibility of LHC phenoand UV completion of 3 generation models
I 3 generation A4 model of leptons generalizes naturally to 4generation A5 model of leptons
I Preserve TBM
I 3 generation T ′ model of quarks and leptons generalizesnaturally to 4 generation I ′ model of quarks and leptons
I Preserve TBM and many properties of quark sector
I Predictions of LHC pheno with extended fermion and scalarsectors, study of FCNCs, etc. –work in progress
Conclusions
I Fourth generation is motivated by possibility of LHC phenoand UV completion of 3 generation models
I 3 generation A4 model of leptons generalizes naturally to 4generation A5 model of leptons
I Preserve TBM
I 3 generation T ′ model of quarks and leptons generalizesnaturally to 4 generation I ′ model of quarks and leptons
I Preserve TBM and many properties of quark sector
I Predictions of LHC pheno with extended fermion and scalarsectors, study of FCNCs, etc. –work in progress
Conclusions
I Fourth generation is motivated by possibility of LHC phenoand UV completion of 3 generation models
I 3 generation A4 model of leptons generalizes naturally to 4generation A5 model of leptons
I Preserve TBM
I 3 generation T ′ model of quarks and leptons generalizesnaturally to 4 generation I ′ model of quarks and leptons
I Preserve TBM and many properties of quark sector
I Predictions of LHC pheno with extended fermion and scalarsectors, study of FCNCs, etc. –work in progress