Flavour
Steve King La Thuile, 22nd March, 2019
Planck Scale Electroweak Scale
Flavour Steve King La Thuile, 22nd March, 2019 Electroweak Scale - - PowerPoint PPT Presentation
Planck Scale Flavour Steve King La Thuile, 22nd March, 2019 Electroweak Scale Flavour Problem t u d c e s b H H L L R Type Ia seesaw h H u i h H u i m = m D M 1 R m T D M R L R R L m D m D
Steve King La Thuile, 22nd March, 2019
Planck Scale Electroweak Scale
b c s u d e t
νL νL Y ν Y ν MR hHui hHui νR νR
mD mD
mν = mDM−1
R mT D
Minkowski,Yanagida,Gell-Mann,Slansky,Ramond
νL νL Y ν Y ν MR hHui hHui νR νR
mD1 mD2
mν = mD1M−1
R mT D2
⟨ ˜ Hd⟩
erent Higgs double ublet ˜ Hd = −iσ2Hú
d,
models where the
Hernandez-Garcia and SFK 1903.01474
SFK, Molina Sedgwick, Rowley 1808.01005
χ2/d.o.f. = 2.07/3
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✓Matm Msol ◆
SFK 1304.6264, 1512.07531
20 25 30 35 1.0 1.5 2.0 2.5 3.0 3.5 4.0 ma [meV] mb [meV] 13 m21
2m31
2mν = ma 1 1 1 1 + mb 1 3 1 3 9 3 1 3 1
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~ max. atm & max. CPV due to ~ mu-tau symmetry SFK, Nishi 1807.00023 SFK, Zhou 1901.06877
mν = mDM−1
R mT D
Predicted (NO m1=0)
1 σ range θ12/ 34.254 → 34.350 θ13/ 8.370 → 8.803 θ23/ 45.405 → 45.834 ∆m122/105eV2 7.030 → 7.673 ∆m312/103eV2 2.434 → 2.561 δ/ −88.284 → −86.568 YB/1010 0.839 → 0.881
~45
(Type Ia)
j
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i,n
!n hφji Λψc
j,m
!m Hψiψc
j,
φφ φ φ φ
j
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T7 S4
A4 Σ(168) ∆(96) SO(3) ∆(27) SU(3)
b t c s u d e
GUTs Flavour Symmetry
Grand Unified Theories of Flavour
GGUT GFAM SU(2)L ⇥ U(1)Y SU(5) PS SO(10) S3 [29] [142] A4 [30,34,51,53,64,143–145] [146–149] [68,150,151] T 0 [152] [153] S4 [31,51,53,145,155] [156,157] [154] [158] A5 [53,159] [160] T7 [161,162] ∆(27) [163] [164] ∆(96) [165,166] [167] [168] DN [169] QN [170]
[171] [172] [173]
YSF talk by Sam Rowley
MEW
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<latexit sha1_base64="Vt867UVWmL9YK4pqCcekZ9KfWg=">AB7HicdVDLSgNBEOyNrxhfUY9eBoPgKeyKEI9BL16ECG4SJYwO5lNhszOLjO9QljyDV48KOLVD/Lm3zh5CPFV0FBUdPdFaZSGHTdD6ewsrq2vlHcLG1t7+zulfcPmibJNOM+S2Si2yE1XArFfRQoeTvVnMah5K1wdDX1W/dcG5GoOxynPIjpQIlIMIpW8m96eWPSK1e8qjsDcX+RL6sCzR65fduP2FZzBUySY3peG6KQU41Cib5pNTNDE8pG9EB71iqaMxNkM+OnZATq/RJlGhbCslMXZ7IaWzMOA5tZ0xaH56U/Evr5NhdBHkQqUZcsXmi6JMEkzI9HPSF5ozlGNLKNPC3krYkGrK0OZTWg7hf9I8q3pu1bs9r9QvF3EU4QiO4RQ8qEdrqEBPjAQ8ABP8Owo59F5cV7nrQVnMXMI3+C8fQK/CY6h</latexit><latexit sha1_base64="Vt867UVWmL9YK4pqCcekZ9KfWg=">AB7HicdVDLSgNBEOyNrxhfUY9eBoPgKeyKEI9BL16ECG4SJYwO5lNhszOLjO9QljyDV48KOLVD/Lm3zh5CPFV0FBUdPdFaZSGHTdD6ewsrq2vlHcLG1t7+zulfcPmibJNOM+S2Si2yE1XArFfRQoeTvVnMah5K1wdDX1W/dcG5GoOxynPIjpQIlIMIpW8m96eWPSK1e8qjsDcX+RL6sCzR65fduP2FZzBUySY3peG6KQU41Cib5pNTNDE8pG9EB71iqaMxNkM+OnZATq/RJlGhbCslMXZ7IaWzMOA5tZ0xaH56U/Evr5NhdBHkQqUZcsXmi6JMEkzI9HPSF5ozlGNLKNPC3krYkGrK0OZTWg7hf9I8q3pu1bs9r9QvF3EU4QiO4RQ8qEdrqEBPjAQ8ABP8Owo59F5cV7nrQVnMXMI3+C8fQK/CY6h</latexit><latexit sha1_base64="Vt867UVWmL9YK4pqCcekZ9KfWg=">AB7HicdVDLSgNBEOyNrxhfUY9eBoPgKeyKEI9BL16ECG4SJYwO5lNhszOLjO9QljyDV48KOLVD/Lm3zh5CPFV0FBUdPdFaZSGHTdD6ewsrq2vlHcLG1t7+zulfcPmibJNOM+S2Si2yE1XArFfRQoeTvVnMah5K1wdDX1W/dcG5GoOxynPIjpQIlIMIpW8m96eWPSK1e8qjsDcX+RL6sCzR65fduP2FZzBUySY3peG6KQU41Cib5pNTNDE8pG9EB71iqaMxNkM+OnZATq/RJlGhbCslMXZ7IaWzMOA5tZ0xaH56U/Evr5NhdBHkQqUZcsXmi6JMEkzI9HPSF5ozlGNLKNPC3krYkGrK0OZTWg7hf9I8q3pu1bs9r9QvF3EU4QiO4RQ8qEdrqEBPjAQ8ABP8Owo59F5cV7nrQVnMXMI3+C8fQK/CY6h</latexit><latexit sha1_base64="Vt867UVWmL9YK4pqCcekZ9KfWg=">AB7HicdVDLSgNBEOyNrxhfUY9eBoPgKeyKEI9BL16ECG4SJYwO5lNhszOLjO9QljyDV48KOLVD/Lm3zh5CPFV0FBUdPdFaZSGHTdD6ewsrq2vlHcLG1t7+zulfcPmibJNOM+S2Si2yE1XArFfRQoeTvVnMah5K1wdDX1W/dcG5GoOxynPIjpQIlIMIpW8m96eWPSK1e8qjsDcX+RL6sCzR65fduP2FZzBUySY3peG6KQU41Cib5pNTNDE8pG9EB71iqaMxNkM+OnZATq/RJlGhbCslMXZ7IaWzMOA5tZ0xaH56U/Evr5NhdBHkQqUZcsXmi6JMEkzI9HPSF5ozlGNLKNPC3krYkGrK0OZTWg7hf9I8q3pu1bs9r9QvF3EU4QiO4RQ8qEdrqEBPjAQ8ABP8Owo59F5cV7nrQVnMXMI3+C8fQK/CY6h</latexit>L Z0
µ
bLγµbL + gµµ¯ µLγµµL
L
L L
gbbgµµ M 2
Z0
⇡ 1 (6.4 TeV)2
Gbsµ = gbsgµµ M 2
Z0
= Vtsgbbgµµ M 2
Z0
.
bsµ ⇡
1 (31.5 TeV)2.
34 ⇠
d Vts ⇠ 0.04
Z0
µ
bLγµbL + gµµ¯ µLγµµL
gbbgµµ M 2
Z0
⇡ 1 (6.4 TeV)2
Allowed region in white
rocess that has been duction ⌫µN ! ⌫µµ+µN ds to a new tree-level
may be replaced by b¯ b ! Z0 ! µ+µ
Gbs 2 (¯ sLγµbL)2
d from updated lattice
s s
(Gbs)1/2 ⇠ 500 TeV
Falkowski, SFK, Perdomo, Pierre 1803.04430
RK, RK*
fixes
φφ φ φ φ
hφ†
ii
Λ0ψ
i,n
!n hφji Λ0ψ
j,m
!m g0Z0
µψ† i γµψj + (
RK(*) and the origin of Yukawa couplings
ψ
ψc
c
c
H
φ
c
ψi
ψc
j
H
φ
M ψ
4
ψ4
ψ4
ψi
φ
M ψ
4
ψ4
ψ4
M ψ
4
ψ4
ψ4 ψj
Z0
φ
Yukawa via mixing with fourth family
Z’ coupling via mixing with fourth family
4 t h v e c t
i k e f a m i l y
Field SU(3)c SU(2)L U(1)Y U(1)0 Qi 3 2 1/6 uc
i
3 1 −2/3 dc
i
3 1 1/3 Li 1 2 −1/2 ec
i
1 1 1 νc
i
1 1 Q4 3 2 1/6 1 uc
4
3 1 −2/3 1 dc
4
3 1 1/3 1 L4 1 2 −1/2 1 ec
4
1 1 1 1 νc
4
1 1 1 Q4 3 2 −1/6 −1 uc
4
3 1 2/3 −1 dc
4
3 1 −1/3 −1 L4 1 2 1/2 −1 ec
4
1 1 −1 −1 νc
4
1 1 −1 φ 1 1 1 Hu 1 2 1/2 −1 Hd 1 2 −1/2 −1
Z′
SFK 1706.06100, 1806.06780
c.f. seesaw diagram
✓tL bL ◆ ✓tL bL ◆ ✓TL BL ◆ ✓TL BL ◆ ✓TL BL ◆ ✓TL BL ◆
4
4
L Z0
µ
bLγµbL + gµµ¯ µLγµµL
✓ NL EL ◆ ✓ NL EL ◆ ✓NL EL ◆ ✓NL EL ◆ ✓νµL µL ◆ ✓νµL µL ◆
4
4 L Z0
µ
bLγµbL + gµµ¯ µLγµµL
New Weinberg operator for neutrino mass
Hernandez-Garcia and SFK 1903.01474
Li Hu νc M ν
4
νc ˜ Hd Lj
4 4
Origin of Yukawas for Higgs and Leptoquarks
De Medeiros Varzielas and SFK 1807.06023,1903.01474
Type Ib seesaw mediated by 4th family RHNs
φ
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Can play the same game with a scalar leptoquark instead of a Z’
Field SU(3)c SU(2)L U(1)Y Z5
erent Higgs double ublet ˜ Hd = −iσ2Hú
d,
models where the
µ W −, φ− νn W −, φ− γ e
Large Small
Theories of Flavour near Planck Scale
Theories of Flavour near Electroweak scale
The Flavour Problem