SUSY Model Building Stuart Raby SUSY 2007 Karlsruhe

SUSY Model Building Stuart Raby SUSY 2007 Karlsruhe, Germany July 30, 2007 Title of talk 1

Outline § § § Introduction Dynamical SUSY breaking “Little” hierarchy problem, etc. SUSY GUTs UV completions Conclusions Title of talk 2

Supersymmetric Standard Model Motivation ? ? Solve hierarchy problem MZ/MPl ~ 10 -16 SM - fine-tuning ~ 10 -32 SUSY “technically natural” Dynamical Title of talk 3

SUSY GUTs Motivation ? ? § Charge quantization § Family structure § Gauge coupling unification It works !! MGUT ~ 1016 Ge. V w/ MSUSY ~ 1 Te. V !! § Neutrino masses See-Saw scale ~ (. 01 -. 1 ) MGUT Title of talk 4

Minimal Supersymmetric Standard Model Spectrum Q, Uc, Dc, L, Ec, Nc Fermions + Sfermions Vi ( i =1, 2, 3 ) Hu , H d gauge bosons + gauginos Higgs + Higgsinos R parity , Family reflection sym. or Matter parity Title of talk 5

Minimal Supersymmetric Standard Model Soft SUSY breaking Over 100 arbitrary parameters – squark & slepton masses gaugino masses quadratic & cubic scalar int’s SUSY flavor problem “Little” hierarchy problem m & B m problems Title of talk 6

SUSY Model Building Flavor problem m problem CP problem GUT breaking “Little” hierarchy prob. Doublet – triplet splitting Title of talk 7

SUSY Model Building mechanism Good Title of talk 8

SUSY Model Building Better Title of talk 9

SUSY Model Building Best Title of talk 10

Dynamical SUSY breaking Intriligator, Seiberg & Shih; Dine, Feng & Silverstein; Kitano, Ooguri & Ookouchi; Argurio, Bertolini, Franco & Kachru; Murayama & Nomura; Dine & Mason; Brummer; Bai, Fan & Han; Dudas, Mourad & Nitti; Gomes-Reino & Scrucca; Amariti, Girardello & Mariotto; Essig, Sinha & Torroba; Ahn; Serone & Westphal; Cho & Park; Abel, Dumford, Jaeckel & Khoze; Tatar & Wetenhall; van den Broek; Ferretti; Pastras; Ooguri, Ookouchi & Park; Kawano, Ooguri & Ookouchi Title of talk 11

Dynamical SUSY breaking Meta-stable SUSY breaking vacua in Global SUSY are quite probable ! Dynamical SUSY breaking is easy !! See talk by Murayama Title of talk 12

Dynamical SUSY breaking Kachru, Kallosh, Linde & Trivedi; Choi, Falkowski, Nilles, Olechowski, Pokorski; Endo, Yamaguchi & Yoshioka; Choi, Jeong & Okumura; Falkowski, Lebedev & Mambrini; Kitano & Nomura; Lebedev, Nilles & Ratz; Lebedev, Loewen, Mambrini, Nilles & Ratz; Acharya, Bobkov, Kane, Kumar & Vaman (Shao); Randall & Sundrum; Giudice, Luty, Murayama & Rattazzi Meta-stable SUSY breaking vacua in Local SUSY/string theory are generic ! Title of talk 13

SUSY breaking mechanisms § Meta-stable SUSY breaking vacua are ubiquitous w/ Cosmologically long life-times i. iii. iv. v. vi. Gravity mediated SUSY breaking Gauge mediated “ Anomaly mediated “ + variations on the above Eg. gaugino, moduli, dilaton mediation Title of talk 14

“Little” hierarchy problem mh > 114. 4 Ge. V Title of talk 15

RG running from MGUT ( tan b = 10 ) Fine tuning ~ 10 -2 - 10 -3 Compared to 1 part in 1032 in SM Can also minimize fine – tuning with light gluino !! Title of talk 16

Some suggested solutions m problem “Little” hierarchy Title of talk 17

Gauge Messenger model Title of talk Dermisek & Kim (+ Kim) 18

Title of talk 19

Bottom Line Gauge mediation w/gauge messengers ü solves flavor problem ü 5 – 10 % fine tuning ü gravitino LSP ü stau NLSP X Needs UV completion X Doesn’t address m problem Title of talk 20

Sweet Spot SUSY Ibe & Kitano Gauge & Gravity mediation Mmess~ 10 -3 MGUT ü solves flavor problem F/Mmess >> F/MPl ü solves m & Bm problems Giudice & Masiero ü UV completion w/ GUT breaking & Higgs D-T splitting X Doesn’t solve “Little” hierarchy Gravitino LSP Title of talk mass ~ 1 Ge. V 21

Mirage Mediation Choi, Falkowski, Nilles, Olechowski, Pokorski, Jeong, Okumura, Lebedev, Mambrini, Ratz, Kobayashi, Endo, Yamaguchi, Yoshioka, Loewen Based on Type II Superstring Moduli stabilization & SUSY breaking Kachru, Kallosh, Linde & Trivedi Gravity (Modulus) & anomaly mediation a = anomaly : Modulus SUSY breaking ratio Title of talk 22

a~1 Title of talk 23

Te. V scale Mirage Mediation Choi, Jeong, Kobayashi & Okumura ; Kitano & Nomura a=2 Title of talk 24

Te. V scale Mirage Mediation Choi, Jeong, Kobayashi & Okumura ; Kitano & Nomura Title of talk 25

Bottom Line § § Preserves gauge coupling unification at MGUT~ 1016 Ge. V § Gaugino masses unify BUT typically below the GUT scale § Cures neg. slepton mass squared problem of pure anomaly mediation § Can address “Little” hierarchy problem X Solution to Flavor prob - model dependent Title of talk 26

Gaugino Code § m. Sugra - GMSB pattern Nilles & Choi § anomaly pattern § mirage pattern § gauge messenger pattern Title of talk 27

§ “Little” hierarchy problem § m problem § fermion masses suggest Higgs special !! Higgs “portal” on BMSSM physics Patt & Wilczek; O’Connell, Ramsey-Musolf & Wise Title of talk 28

NMSSM Ellis, Gunion, Haber, Roszkowski & Zwirner; Drees; Ellwanger, Rauch, Traubenberg & Savoy; Pandita; King & White; Franke & Fraas; Dine, Seiberg & Thomas Higgs may be heavier than LEP bound even with light stop due to added mass shift Title of talk 29

NMSSM Dermisek& Gunion OR Higgs may be lighter than LEP bound BUT has new ‘invisible’ decay modes Title of talk 30

MSSM at Large tanb Talk by Heinemeyer mh = 115 Ge. V, m. A = 160 Ge. V Br( Bs -> m+ m- ) OK Talk by Belyaev mh = 60 Ge. V Br( h -> b b ) Title of talk Br( h -> t t ) 31

SUSY GUTs Charge quanization & Fermion masses SO(10) special 16 : Q, Uc, Dc, L, Ec, Nc 10 : Hu , Hd , T, Tc Doublet – Triplet splitting ? ? GUT symmetry breaking ? ? Proton decay ? ? Title of talk 32

Fermion Masses in SO(10) l 16 10 16 top, bottom, tau, nt Yukawa unification “Minimal” SO(10) Model Mohapatra, Babu, Senjanovic, Bajc, Aulakh, Chen, Mahanthappa, … Title of talk 33

“Minimal” SO(10) Model II Albright, Anderson, Babu, Barr, Barbieri, Berezhiani, Blazek, Carena, Dermisek, Dimopoulos, Hall, Pati, Raby, Romanino, Rossi, Starkman, Wagner, Wilczek, Wiesenfeldt, Willenbrock Possible UV completion to strings !! Title of talk 34

SO(10) x [ D 3 x U(1) family sym. ] Yukawa Unification for 3 rd Family Dermisek & Raby hep-ph/0507045 Dermisek, Harada & S. R. hep-ph/0606055 Title of talk 35

SO(10) x [ D 3 x U(1) family sym. ] Yukawa Unification for 3 rd Family Fits fermion masses and mixing angles well Requires soft SUSY breaking para’s Blazek, Dermisek & Raby PRL 88 (2002) Title of talk 36

small Title of talk 37

Recent analysis of DR Model “Challenging SO(10) SUSY GUTs with family symmetries through FCNC processes” Albrecht, Altmannshofer, Buras, Guadagnoli, & Straub See talk by Altmannshofer Title of talk 38

Global c 2 analysis of DR Model 24 parameters at GUT scale compare to SM - 27 parameters MSSM - 32 parameters Title of talk 39

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 40

E 6 Orbifold GUT on M 4 x S 1/(Z 2 x. Z 2’) Kobayashi, SR & Zhang Title of talk 41

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 42

E 8 x E 8 Heterotic string in 10 D Compactify 6 D on (T 2)3 Then mod by Z 6 = (Z 3 x Z 2) and Add Wilson lines Z 6 embedded in E 8 x E 8 gauge lattice as shift V 6 : consistent with mod. inv. ! Title of talk 43

First consider (T 2)3/Z 3 + W 3 [Wilson line in SU 3 torus] Massless modes From Untwisted sector + (G 2 , SU 3) twisted sector Title of talk E 6 GUT in 5 D 44

Heterotic strings in 10 dimensions 3 family models Bouchard, Braun, Buchmuller, Cleaver, Donagi, Faraggi, Hamaguchi, He, Kobayashi, Lebedev, Ludeling, Nanopoulos, Nilles, Ovrut, Pantev, Pokorski, Raby, Ramos-Sanchez, Ratz, Reinbacher, Ross, Vaudrevange, Waldram, Wingerter, Zhang See talks by Nilles, Kyae, Luedeling, Lebedev & Wingerter Title of talk 45

Conclusions § SUSY Model Building focus on “Little” hierarchy, m and B m problems § Still no Standard Model of SUSY breaking BUT metastable vacua are generic – easier ! § Higgs & gauginos “Portal” on BMSSM § UV completion from MSSM to SUSY GUTs to Orbifold GUTs to Heterotic string In Progress Title of talk 46