Fermion Masses
This presentation is the property of its rightful owner.
Sponsored Links
1 / 52

Fermion Masses PowerPoint PPT Presentation


  • 69 Views
  • Uploaded on
  • Presentation posted in: General

Fermion Masses. G.G.Ross, Corfu, September 2005. The Standard Model. Masses. 1. GeV. DATA :. ?. Mixing. Masses. 1. GeV. Mixing. 10 -1. 10 -2. 10 -3. 10 -4. eV. DATA :. ?. Bi-Tri Maximal Mixing … Non Abelian Structure?. Perturbative analysis (hierarchical basis).

Download Presentation

Fermion Masses

An Image/Link below is provided (as is) to download presentation

Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author.While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server.


- - - - - - - - - - - - - - - - - - - - - - - - - - E N D - - - - - - - - - - - - - - - - - - - - - - - - - -

Presentation Transcript


Fermion masses

Fermion Masses

G.G.Ross, Corfu, September 2005

The Standard Model


Fermion masses

Masses

1

GeV

DATA :

?

Mixing


Fermion masses

Masses

1

GeV

Mixing

10-1

10-2

10-3

10-4

eV

DATA :

?

Bi-Tri Maximal

Mixing …

Non Abelian

Structure?


Fermion masses

Perturbative analysis (hierarchical basis)

(small) off diagonal

Diagonal

Off diagonal


Fermion masses

Quark Textures

Hierarchical :


Fermion masses

Quark Textures

Hierarchical :


Fermion masses

Symmetric fit

Asymmetric fit

Roberts

Romanino

GGR

Velasco Sevilla


Fermion masses

GATTO, SARTORI, TONIN

symmetric

/

CP SM phase

Texture zero

Fritzsch,

Weinberg

Roberts,

Romanino,

GGR,Velasco


Fermion masses

Symmetric fit

Asymmetric fit

Roberts

Romanino

GGR

Velasco Sevilla


Fermion masses

Infra red fixed point

Pendleton, Ross

Hill

Kobayashi, Kubo, Mondragon, Zoupanos


Fermion masses

… dimension of operator

… order of radiative corrections


Fermion masses

Textures and flavour models

Symmetries

Coherent picture of quark and lepton masses and mixing?

Family?

Family?


Fermion masses

FAMILY SYMMETRY?

MESSENGER SECTOR?

Symmetries and textures

Hierarchical structure strongly suggests a broken symmetry

Froggatt, Nielsen


Fermion masses

Abelian Family symmetry

-3 2 1

-3

2

1

1

-1

Ibanez GGR


Fermion masses

Symmetric fit

Asymmetric fit

Is one favoured?


Fermion masses

Probes RH angles

Cannot align Yukawa and A terms

Vives, GGR

Favours near symmetric structure

With similar structure for charged leptons

Neutrino mixing not related to large RH mixing


Fermion masses

Quark masses and mixing angles

Lepton masses and mixing angles


Fermion masses

Extension to charged leptons – GUT?

?


Fermion masses

Extension to charged leptons – GUT?

Georgi Jarlskog


Fermion masses

10

100

10-1

10-2

10-3

10-4

eV

Extension to neutrinos???

Possible with “see-saw”

Dirac Mass

Majorana Mass

King, GGR


Fermion masses

CP violation

SUSY CP problem -

In string theory CP is a discrete gauge symmetry :

Dine, Leigh, MacIntyre

Vives, GGR

Cannot align Yukawa and A terms

OK with suitable family symmetry


Fermion masses

Masses

1

GeV

Mixing

10-1

10-2

10-3

10-4

eV

Fermion Masses II

?

Bi-Tri Maximal

Mixing …

Non Abelian

Structure?


Fermion masses

Textures and flavour models

Symmetries

Coherent picture of quark and lepton masses and mixing?


Fermion masses

Abelian Family symmetry

-3 2 1

-3

2

1

1

-1


Fermion masses

Probes RH angles

D-term problems for FCNC

Family dependent soft mass

Murayama

Discrete family symmetry

Gauge mediated breaking

Gravity mediation


Fermion masses

Abelian Family symmetry

-3 2 1

-3

2

1

1

-1

Ibanez GGR


Fermion masses

Abelian Family symmetry

-3 2 1

-3

2

1

Need special choice of O(1) coefficients

1

-1

Ibanez GGR


Fermion masses

Masses

1

GeV

Mixing

10-1

10-2

10-3

10-4

eV

DATA :

?

Bi-Tri Maximal

Mixing …

Non Abelian

Structure?


Fermion masses

Non-Abelian family symmetry

Symmetries

Coherent picture of quark and lepton masses and mixing?

Simple(?) flavour

Group restricting

Yukawa couplings


Fermion masses

I de Medeiros, GGR

King, Vives, Velasco Sevilla…

Spontaneous symmetry breaking

c.f. Georgi-Jarskog

only terms allowed by G


Fermion masses

Dirac mass structure


Fermion masses

Dirac mass structure


Fermion masses

Dirac mass structure


Fermion masses

Structure determinedfrom

symmetries too

Neutrino masses

Actually cancelled by small off diagonal

Majorana terms

Bi-Tri Maximal Mixing


Fermion masses

Bi-maximal

Vacuum alignment

Discrete (Non Abelian) family symmetry?


Fermion masses

Vacuum alignment

Altarelli,

Feruglio


Fermion masses

Ma;

Altarelli,

Feruglio

Bi-Tri-maximal mixing

X

Grand Unified

King,GGR

Allows symmetric invariant

- vacuum alignment

since only small high dimension corrections

Bi-Tri-maximal mixing

Grand Unified


Fermion masses

Summary

Texture and texture zero hints at underlying structure

Family symmetry ? GUT symmetry?

Due to the see-saw mechanism, the quark, charged lepton and neutrino

masses and mixing angles can be consistent with a similar structure for

their Dirac mass matrices.

Hints at an underlying (spontaneously broken) family symmetry? SO(10)XSU(3)?

Extraction of Yukawa couplings crucial to understanding fermion structure

Bounded off diagonal terms (anti)symmetric, hermitian SUSY data


Fermion masses

Summary

Texture and texture zero hints at underlying structure

Family symmetry ? GUT symmetry?

Due to the see-saw mechanism, the quark, charged lepton and neutrino

masses and mixing angles can be consistent with a similar structure for

their Dirac mass matrices.

Hints at an underlying (spontaneously broken) family symmetry? SO(10)XSU(3)?

gives a new solution to the SUSY FCNC and CP problems

Extraction of Yukawa couplings crucial to understanding fermion structure

Bounded off diagonal terms (anti)symmetric, hermitian SUSY data

A discrete non-Abelian subgroup can give vacuum alignment needed

For bi-tri-maximal mixing


Fermion masses

Ramage,GGR


Fermion masses

Majorana Mass Matrix


Fermion masses

Ramage,GGR


Fermion masses

Ma;

Altarelli,

Feruglio

Neutrinos

Charged leptons

3


Fermion masses

Ma;

Altarelli,

Feruglio

Neutrinos

Charged leptons

3

Bi-tri maximal

Harrison, Scott

-Ma


Fermion masses

10

100

10-1

10-2

10-3

10-4

eV

Degenerate

Normal

Inverted

Phenomenological implications :

Degenerate, normal and

inverted spectra possible

No connection

between quark,

charged lepton

and neutrino

masses


  • Login