flavor symmetry for four generations of quarks and leptons
TRANSCRIPT
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