Flavour Steve King La Thuile, 22nd March, 2019 Electroweak Scale - - PowerPoint PPT Presentation

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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


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SLIDE 1

Flavour

Steve King La Thuile, 22nd March, 2019

Planck Scale Electroweak Scale

slide-2
SLIDE 2

b c s u d e t

Flavour Problem

slide-3
SLIDE 3
slide-4
SLIDE 4

νL νL

H H

νR

slide-5
SLIDE 5

Type Ia seesaw

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

slide-6
SLIDE 6

Type Ib seesaw

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

slide-7
SLIDE 7

SFK, Molina Sedgwick, Rowley 1808.01005

χ2/d.o.f. = 2.07/3

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mD =   b a 3b a b   MR =

✓Matm Msol ◆

Littlest Seesaw

SFK 1304.6264, 1512.07531

  • 15

20 25 30 35 1.0 1.5 2.0 2.5 3.0 3.5 4.0 ma [meV] mb [meV] 13 m21

2

m31

2

mν = ma   1 1 1 1   + mb   1 3 1 3 9 3 1 3 1  

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ei2π/3

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Ballett, SFK, Pascoli, Prouse, Wang 1612.01999

~ 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

  • 90

(Type Ia)

slide-8
SLIDE 8

Yukawa couplings

yijHψiψc

j

Why so small (apart from top quark)?

ψi

H

yij

ψc

j

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slide-9
SLIDE 9

hφii Λψ

i,n

!n hφji Λψc

j,m

!m Hψiψc

j,

Yukawa couplings

Effective

hφi Λ

<latexit sha1_base64="Nwzb3qvqPc5klwctrR6nWZQ2IdE=">ACDXicdVC7TsMwFHXKq5RXgJHFoiAxVQlCgrGChYGhSPQhNVF14zitVceJbAepivoDLPwKCwMIsbKz8Te4aZHK60iWzj3n3mv7BClnSjvOh1VaWFxaXimvVtbWNza37O2dlkoySWiTJDyRnQAU5UzQpma04qKcQBp+1geDHx27dUKpaIGz1KqR9DX7CIEdBG6tkHXiSB5B4H0ecUe+mAYU8WxTj3rsyiEMY9u+rWnALY+UW+rCqaodGz370wIVlMhSYclOq6Tqr9HKRmxCyueJmiKZAh9GnXUAExVX5e/GaMD40S4iR5giNC3V+IodYqVEcmM4Y9ED9CbiX14309GZnzORZpoKMr0oyjWCZ5Eg0MmKdF8ZAgQycxbMRmAiUebACvzIfxPWsc16m51yfV+vksjLaQ/voCLnoFNXRJWqgJiLoDj2gJ/Rs3VuP1ov1Om0tWbOZXfQN1tsn8kmcGg=</latexit><latexit sha1_base64="Nwzb3qvqPc5klwctrR6nWZQ2IdE=">ACDXicdVC7TsMwFHXKq5RXgJHFoiAxVQlCgrGChYGhSPQhNVF14zitVceJbAepivoDLPwKCwMIsbKz8Te4aZHK60iWzj3n3mv7BClnSjvOh1VaWFxaXimvVtbWNza37O2dlkoySWiTJDyRnQAU5UzQpma04qKcQBp+1geDHx27dUKpaIGz1KqR9DX7CIEdBG6tkHXiSB5B4H0ecUe+mAYU8WxTj3rsyiEMY9u+rWnALY+UW+rCqaodGz370wIVlMhSYclOq6Tqr9HKRmxCyueJmiKZAh9GnXUAExVX5e/GaMD40S4iR5giNC3V+IodYqVEcmM4Y9ED9CbiX14309GZnzORZpoKMr0oyjWCZ5Eg0MmKdF8ZAgQycxbMRmAiUebACvzIfxPWsc16m51yfV+vksjLaQ/voCLnoFNXRJWqgJiLoDj2gJ/Rs3VuP1ov1Om0tWbOZXfQN1tsn8kmcGg=</latexit><latexit sha1_base64="Nwzb3qvqPc5klwctrR6nWZQ2IdE=">ACDXicdVC7TsMwFHXKq5RXgJHFoiAxVQlCgrGChYGhSPQhNVF14zitVceJbAepivoDLPwKCwMIsbKz8Te4aZHK60iWzj3n3mv7BClnSjvOh1VaWFxaXimvVtbWNza37O2dlkoySWiTJDyRnQAU5UzQpma04qKcQBp+1geDHx27dUKpaIGz1KqR9DX7CIEdBG6tkHXiSB5B4H0ecUe+mAYU8WxTj3rsyiEMY9u+rWnALY+UW+rCqaodGz370wIVlMhSYclOq6Tqr9HKRmxCyueJmiKZAh9GnXUAExVX5e/GaMD40S4iR5giNC3V+IodYqVEcmM4Y9ED9CbiX14309GZnzORZpoKMr0oyjWCZ5Eg0MmKdF8ZAgQycxbMRmAiUebACvzIfxPWsc16m51yfV+vksjLaQ/voCLnoFNXRJWqgJiLoDj2gJ/Rs3VuP1ov1Om0tWbOZXfQN1tsn8kmcGg=</latexit><latexit sha1_base64="Nwzb3qvqPc5klwctrR6nWZQ2IdE=">ACDXicdVC7TsMwFHXKq5RXgJHFoiAxVQlCgrGChYGhSPQhNVF14zitVceJbAepivoDLPwKCwMIsbKz8Te4aZHK60iWzj3n3mv7BClnSjvOh1VaWFxaXimvVtbWNza37O2dlkoySWiTJDyRnQAU5UzQpma04qKcQBp+1geDHx27dUKpaIGz1KqR9DX7CIEdBG6tkHXiSB5B4H0ecUe+mAYU8WxTj3rsyiEMY9u+rWnALY+UW+rCqaodGz370wIVlMhSYclOq6Tqr9HKRmxCyueJmiKZAh9GnXUAExVX5e/GaMD40S4iR5giNC3V+IodYqVEcmM4Y9ED9CbiX14309GZnzORZpoKMr0oyjWCZ5Eg0MmKdF8ZAgQycxbMRmAiUebACvzIfxPWsc16m51yfV+vksjLaQ/voCLnoFNXRJWqgJiLoDj2gJ/Rs3VuP1ov1Om0tWbOZXfQN1tsn8kmcGg=</latexit>

H

ψi

φφ φ φ φ

ψc

j

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Yukawas small due to powers

  • f ratios .
slide-10
SLIDE 10

hφi Λ

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Keeping fixed ratios Flavour scales can be from the Planck scale to electroweak scale

Λ

MEW

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MP

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slide-11
SLIDE 11

Grand Unification suggests high scale theory of flavour

Λ

MEW

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MP

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slide-12
SLIDE 12

Grand Unified Theories

slide-13
SLIDE 13

A5

T7 S4

A4 Σ(168) ∆(96) SO(3) ∆(27) SU(3)

Flavour symmetry

slide-14
SLIDE 14

b t c s u d e

GUTs Flavour Symmetry

Grand Unified Theories of Flavour

slide-15
SLIDE 15

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]

  • ther

[171] [172] [173]

YSF talk by Sam Rowley

slide-16
SLIDE 16

Phenomenological hints from B physics suggest low scale theory of flavour

Λ

MEW

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MP

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slide-17
SLIDE 17

Z’ interpretation of

L Z0

µ

  • gbb¯

bLγµbL + gµµ¯ µLγµµL

  • Violations of LFU could originate from massive Z’ model with couplings
  • µ
  • µ
  • L

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

RK, RK* ~0.7

slide-18
SLIDE 18

Z0

µ

  • gbb¯

bLγµbL + gµµ¯ µLγµµL

  • Constraints

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

  • f (Gbs)1/2 ⇠ 150 TeV.

s s

(Gbs)1/2 ⇠ 500 TeV

Falkowski, SFK, Perdomo, Pierre 1803.04430

RK, RK*

fixes

slide-19
SLIDE 19

φφ φ φ φ

Z’ couplings

Effective

Z’ couplings small due to powers

  • f ratios .

hφi Λ

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hφ†

ii

Λ0ψ

i,n

!n hφji Λ0ψ

j,m

!m g0Z0

µψ† i γµψj + (

ψi

Z0

ψj

slide-20
SLIDE 20

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

  • r
  • l

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

slide-21
SLIDE 21

φ

Z0

φ

✓tL bL ◆ ✓tL bL ◆ ✓TL BL ◆ ✓TL BL ◆ ✓TL BL ◆ ✓TL BL ◆

M Q

4

M Q

4

L Z0

µ

  • gbb¯

bLγµbL + gµµ¯ µLγµµL

  • RK(*) and the origin of Yukawa couplings
slide-22
SLIDE 22

φ

Z0

φ

✓ NL EL ◆ ✓ NL EL ◆ ✓NL EL ◆ ✓NL EL ◆ ✓νµL µL ◆ ✓νµL µL ◆

M L

4

M L

4 L Z0

µ

  • gbb¯

bLγµbL + gµµ¯ µLγµµL

  • RK(*) and the origin of Yukawa couplings
slide-23
SLIDE 23

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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φ

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S3

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Qi

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Lj

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Q4

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Q4

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M Q

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L4

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L4

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M L

4

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S3 3 3 1/3 3

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

slide-24
SLIDE 24

Conclusion

Theories of Flavour near Planck Scale

  • Well motivated by GUTs and flavour symmetry
  • Many possibilities - hard to test (but Littlest Seesaw)

Theories of Flavour near Electroweak scale

  • Motivated by anomalies in B physics: RK(*)?
  • Many phenomenological implications: Z’, 4th v.l. family

The Flavour Problem

  • Not going away - biggest problem of SM ?
  • More interesting since neutrino mass & mixing