# Presentation: 136108

##      Proton Decay  at  DUSEL

-      Proton Decay  at  DUSEL

- Stuart Raby

-  DUSEL  Town Meeting
- Washington, D.C.
- November 3,  2007

- Title of talk

## Motivation for 

- Motivation for
- Deep Underground Science Laboratory

-      Long-baseline neutrino oscillations
*****,  leptonic CP viol.*
-      Astrophysical neutrinos -  SN,  solar,  neutrino bkgd.
-      Neutrino masses -  neutrinoless  2decay
-     Direct dark matter detection
-     n-nbar oscillations
-     Proton decay
-        Can all be done with one large detector
-      Conclusions

- Title of talk

##                                 Outline                          

-                                 Outline

-      SUSY GUTs –
-       motivation and consequences
-      Proton decay
-      Conclusions

- Title of talk

## Dynamical

- Supersymmetric Standard Model

- Motivation  ??

- Solve  hierarchy problem    MZ/MPl ~ 10-16

- SM   -   fine-tuning  ~ 10-32

-  SUSY

- “technically  natural”

- Title of talk

##    Phenomenology  of   SUSY  GUTs  

-    Phenomenology  of   SUSY  GUTs

-   charge quantization

- Title of talk

## Pati-Salam     SU(4)CxSU(2)LxSU(2)R

- Pati-Salam     SU(4)CxSU(2)LxSU(2)R

- Title of talk

## Georgi-Glashow

- Pati-Salam

- Title of talk

## Charge  quantization

- spinor  repsn.
- of  SO( 10 )

- Georgi
- Fritzsch & Minkowski

- Title of talk

##    Phenomenology   

-    Phenomenology

-   charge quantization
-   gauge coupling unification

- Title of talk

##    Gauge coupling unification   

-    Gauge coupling unification

- Title of talk

##    Phenomenology   

-    Phenomenology

-   charge quantization
-   gauge coupling unification
-   neutrino masses
-  See-Saw scale  ~ ( .01 - .1 ) MGUT

- Title of talk

##    Phenomenology   

-    Phenomenology

-   charge quantization
-   gauge coupling unification
-   neutrino masses
-   LSP- dark matter candidate
-   baryogenesis  via  leptogenesis
-   quark and lepton masses

- Title of talk

## “Minimal”  SO(10)  Model

- Fermion  Masses  in  SO(10)

-   16  10  16

- top,  bottom, tau,  
-        Yukawa unification

- Mohapatra, Babu, Senjanovic, Bajc, Aulakh, Chen,
- Mahanthappa, ...

- “Minimal”  SO(10)  Model

- Title of talk

##              “Minimal”  SO(10) Model   

-              “Minimal”  SO(10) Model

- Albright, Anderson, Babu, Barr, Barbieri, Berezhiani,
- Blazek, Carena, Dermisek, Dimopoulos, Hall, Pati,
- Raby, Romanino, Rossi, Starkman, Wagner, Wilczek,
- Wiesenfeldt, Willenbrock

- II

- Possible  UV  completion to strings !!

- Title of talk

## SO(10) x [ D3 x U(1)  family sym. ]

- SO(10) x [ D3 x U(1)  family sym. ]
- Yukawa  Unification  for  3rd  Family

- Dermisek & Raby
- hep-ph/0507045
- Dermisek, Harada & S.R.
- hep-ph/0606055

- Title of talk

## SO(10) x [ D3 x U(1)  family sym. ]

- SO(10) x [ D3 x U(1)  family sym. ]
- Yukawa  Unification  for  3rd  Family

- Fits  fermion masses and mixing angles well
-  Requires  soft SUSY breaking  para’s

- Blazek,  Dermisek & Raby   PRL 88 (2002)

- Title of talk

## compare to SM -  27  parameters

-                MSSM -  32  parameters

- 24  parameters  at  GUT scale

- Global analysis of  DR  Model

- Title of talk

## Recent analysis of  DR Model

- “Challenging SO(10) SUSY GUTs with family
- symmetries through FCNC processes”
- Albrecht, Altmannshofer, Buras, Guadagnoli,&  Straub
**                                ****arXiv:0707.3954** [hep-ph]

- Find good fits to quark, charged lepton
-             & neutrino masses and mixing angles
- Also test  flavor violation in  b  physics
-    some tension between  b  s &  b  s l+ l-

- Title of talk

## UV  completion

- Orbifold GUTs   in  5 or 6 dimensions
-      GUT symmetry breaking
-      Doublet-Triplet splitting

- Kawamura; Hall & Nomura; Contino, Pilo, Rattazzi & Trincherini; Altarelli, Feruglio & Masina;  Dermisek & Mafi;  H.D. Kim & Raby;  Asaka, Buchmuller & Covi;  Lee; Hebecker & March-Russell

- Title of talk

## P

-   **M****4**** x S****1****/(Z****2****xZ****2****’)**

- P’

- P &  P’  parity  affect boundary conditions
- at  fixed points

- Title of talk

## E6   Orbifold GUT  on  M4 x S1/(Z2xZ2’)

- E6   Orbifold GUT  on  **M****4**** x S****1****/(Z****2****xZ****2****’)**

- Kobayashi,  SR & Zhang

- Title of talk

## UV  completion

- Orbifold GUTs   in  5 or 6 dimensions
- Derived from  Heterotic string in 10 D

- Kobayashi, Raby & Zhang;  Forste,  Nilles, Vaudrevange & Wingerter;  Buchmuller, Hamaguchi,
- Lebedev & Ratz;  JE Kim, JH Kim & Kyae; Buchmuller, Ludeling & Schmidt

- Title of talk

## E8 x E8   Heterotic  string  in  10D

- E8 x E8   Heterotic  string  in  10D

- Compactify  6D   on  (T2)3

- Then  mod by Z6 =  (Z3 x Z2)  and
- Add  Wilson lines

- Z6  embedded in  E8 x E8  gauge lattice
- as  shift  V6 :  consistent with mod. inv. !

- Title of talk

##    First consider   (T2)3/Z3    +   W3                

-    _First consider _  (T2)3/Z3    +   W3
-                           [Wilson line in  SU3 torus]

- Massless   modes
- From Untwisted sector   +
- (G2 , SU3)   twisted sector

- E6 GUT
-  in 5D

- Title of talk

##    Recently  obtained  MSSM  

-    Recently  obtained  MSSM
-                   from heterotic string
-    With  3 families,   no light exotics
-              and non-trivial
-              quark  &  lepton masses
-     Lebedev et al.
-    “The Heterotic Road to the MSSM with R parity,''
-                                     arXiv:0708.2691 [hep-th]

- Title of talk

##    Phenomenology   

-    Phenomenology

-   charge quantization
-   gauge coupling unification
-   neutrino masses
-   dark matter candidate
-   baryogenesis  via  leptogenesis
-   quark and lepton masses
-   proton decay

- Title of talk

##    Proton  Decay -- gauge exchange   

-    Proton  Decay -- gauge exchange

- Lucas & Raby, Murayama & Pierce

- MX >  7x 1015 GeV             p  >  1.5x1034 years

- Title of talk

##    Proton  Decay -- higgs exchange   

-    Proton  Decay -- higgs exchange

- Title of talk

##    Proton  Decay -- higgs exchange   

-    Proton  Decay -- higgs exchange

-   c   color  triplet Yukawa coupling --
-          In a complete GUT it’s constrained by
-          fermion masses and mixing angles
- lattice    − α = 0.0118(21) GeV3
-                      β = 0.0118(21) GeV3
-                                          Y. Aoki et al.    **hep-lat/0607002**

- Title of talk

##    Proton  Decay -- higgs exchange   

-    Proton  Decay -- higgs exchange

-   Loop factor
-           gauginos (light), 1&2 gen. scalars (heavy)
- constrained by gauge coupling
-           unification and  GUT breaking sectors

- Title of talk

##    Proton  Decay -- higgs exchange   

-    Proton  Decay -- higgs exchange

- SUSY GUTs :  Under siege !!

- Dermisek, Mafi & Raby

- Babu, Pati & Wilczek,  Altarelli, Feruglio & Masina,
- Dermisek, Mafi & Raby

- Title of talk

##    Proton  Decay – Orbifold  GUTs

-    Proton  Decay – Orbifold  GUTs

-    5 & 6  dimensionful  orbifold  GUTs
-        dim. 5 operators  -  can be suppressed
-        dim.  6  operators  -   typically  enhanced
-                         MX  <  MGUT
-   String  orbifolds
-        dim.  5   operators  – strike back
-        dim.  6   operators -   likely enhanced

- Title of talk

## Conclusions

-     SUSY  GUTs  predict proton & neutron
-       decay with lifetimes exceeding BUT near
-       Super-K  bounds
-     5D  Orbifold  GUTs can suppress  dim. 5
-       BUT  enhance  dim.  6 operators
-     Strings  may  enhance  both ?
-      Observation of proton decay  would
-        dramatically change our understanding of
-        nature !!

- Title of talk

## Conclusions

- Proton decay should be just around the corner
- BUT  which  mode dominates ?
-      The answer is model  dependent !!

- Title of talk

## Conclusions

- Proton decay should be just around the corner
- BUT  which  mode dominates ?
-      The answer is model  dependent !!

- Title of talk