New Physics from Type IIA Quivers

Transcription

1 New Physics from Type IIA Quivers The string vacuum Tadpoles and extended MSSM quivers New matter and Z s Axigluons from type IIa quivers M. Cvetič, J. Halverson, PL: Implications of String Constraints for Exotic Matter and Z s Beyond the Standard Model Axigluons in type IIa string theory Madison (August, 011)

2 The String Vacuum String vacuum enormously complicated Many points not consistent with what we know (but multiverse?) Goal 1: obtaining the MSSM Possibilities for SUSY breaking/mediation, µ, Bµ, R P, Goal : beyond (instead of) MSSM paradigm (don t prejudge TeV) (just) MSSM is not required by experimental data Many string constructions involve TeV-scale remnants or mechanisms beyond the MSSM (may be hint) Goal : mapping of string-likely or unlikely classes of new physics and mechanisms (and contrast with field theory) Madison (August, 011)

3 Allowed manifold SUSY SM msugra MSSM strong dynamics Madison (August, 011)

4 Allowed manifold SUSY minimal MSSM SM msugra strong dynamics Madison (August, 011)

5 Allowed manifold SUSY minimal SM msugra MSSM string strong dynamics Madison (August, 011)

6 Tadpoles and Extended MSSM Quivers Implications of String Constraints for Exotic Matter and Z s Beyond the Standard Model (M. Cvetič, J. Halverson, PL) Intersecting brane type IIA constructions (and others): tadpole cancellation conditions stronger than anomaly cancellation in augmented field theory (FT with anomalous U(1) s and Chern-Simons terms) U(N a ) from stack of N a D branes: N a : #a #a + (N a + 4) (# a # a ) + (N a 4) (# a # a ) = 0 N a = 1 : #a #a + (N a + 4) (# a # a ) = 0 mod, SU(N a ) triangle anomaly condition for N a Stronger condition than augmented FT for N a = 1, Madison (August, 011)

7 Anomalous U(1) from trace generator of U(N) usually acquires Stuckelberg mass near string scale M s Anomalies cancelled by Chern-Simons U(1) global symmetry on (perturbative) superpotential May be broken by non-perturbative D-instantons (exponentially suppressed) Linear combination q x U(1) x may be massless, non-anomalous if q a N a (# a # a + # a # a ) + x a q x N x (#(a, x) #(a, x)) = 0, N a q a #(a) #(a) + 8(# a ) # a ) + x a q x N x (#(a, x) #(a, x)) = 0, N a = 1 Require one linear combination weak hypercharge, Y May be additional massless combinations, broken by Higgs singlet VEVs TeV-scale Z (even for M s = O(M pl )) Madison (August, 011)

8 Hypercharge embeddings for -node (U() U() U(1)) and 4- node (U() U() U(1) U(1)) quivers containing MSSM classified (Anastasopoulos, Dijkstra, Kiritsis, Schellekens) Most quivers with just MSSM chiral matter don t satisfy tadpole constraints (none for nodes with no vector pairs) Systematically add matter to MSSM quivers to satisfy tadpole and hypercharge conditions Up to 5 additional fields Don t allow purely vector pairs (typically acquire M s -scale masses) Allow quasichiral pairs (vector under MSSM; chiral under anomalous or additional non-anomalous U(1) s) Suggestive of quasichiral types, U(1) s (often family universal tree-level neutral B s effects) H d L distinction (necessary for L and R-parity conservation) MSSM singlets (NMSSM-type, ν c L-type, or neither) Madison (August, 011)

9 New Matter and Z s Field Transformation T a T b T c M a M b M c q L (a, b) q L (a, b) u c 1 L (a, c) d c L a d c L (a, c) H u (b, c) H u (b, c) H d, L (b, c) H d, L (b, c) e c L c Madrid -node embedding: U(1) Y = 1 U(1) a + 1 U(1) c T a = 0 T b = ±n T c = 0 mod with n {0,..., 7} Vector pair (H u, H d or H u, L) for n = 0 at least one addition Madison (August, 011)

10 Possible additions Transformation T a T b T c M a M b M c a (, 1) a (, 1) a (, 1) a (, 1) b (1, ) b (1, ) b (1, 1) b (1, 1) (b, c) (1, ) (b, c) (1, ) (b, c) (1, ) (b, c) (1, ) c (1, 1) c (1, 1) (a, b) (, ) (a, b) (, ) (a, b) (, ) (a, b) (, ) (a, c) (, 1) (a, c) (, 1) (a, c) (, 1) (a, c) (, 1)

11 105 Madrid -node quivers ( 5 additions) Multiplicity Matter Additions 4 b, (1, ) 0 b, (1, ) 0 b, (1, 1) 0 (a, b), (, )1 (a, b), (, ) 1 4 b, (1, ) 0 b, (1, 1) 0 4 b, (1, ) 0 b, (1, 1) 0 4 b, (1, ) 0 b, (1, 1) 0 b, (1, 1) 0 (b, c), (1, ) 1 (b, c), (1, )1 4 b, (1, ) 0 b, (1, 1) 0 b, (1, 1) 0 (b, c), (1, ) 1 (b, c), (1, )1 4 b, (1, ) 0 b, (1, 1) 0 b, (1, 1) 0 (a, b), (, )1 (a, b), (, ) 1 4 b, (1, 1) 0 b, (1, 1) 0 4 b, (1, 1) 0 (b, c), (1, ) 1 (b, c), (1, )1 4 (b, c), (1, ) 1 (b, c), (1, ) 1 (b, c), (1, )1 (b, c), (1, )1 4 (a, b), (, )1 a, (, 1)1 (b, c), (1, ) 1 (a, c), (, 1) c, (1, 1) 1 4 b, (1, ) 0 b, (1, 1) 0 b, (1, 1) 0 b, (1, 1) 0 b, (1, 1) 0 4 b, (1, ) 0 b, (1, 1) 0 b, (1, 1) 0 b, (1, 1) 0 b, (1, 1) 0 4 b, (1, ) 0 b, (1, 1) 0 b, (1, 1) 0 4 b, (1, ) 0 b, (1, 1) 0 (b, c), (1, ) 1 (b, c), (1, )1 4 b, (1, ) 0 (b, c), (1, ) 1 (b, c), (1, ) 1 (b, c), (1, )1 (b, c), (1, )1 4 b, (1, 1) 0 4 b, (1, 1) 0 b, (1, 1) 0 (b, c), (1, ) 1 (b, c), (1, )1 4 b, (1, ) 0 b, (1, ) 0 b, (1, 1) 0 b, (1, 1) 0 4 b, (1, ) 0 b, (1, ) 0 b, (1, 1) 0 (b, c), (1, ) 1 (b, c), (1, )1 4 b, (1, 1) 0 b, (1, 1) 0 b, (1, 1) 0 b, (1, 1) 0 Madison (August, 011)

12 Multiplicity Matter Additions 4 b, (1, ) 0 b, (1, ) 0 b, (1, ) 0 b, (1, 1) 0 b, (1, 1) 0 4 b, (1, ) 0 b, (1, ) 0 b, (1, 1) 0 1 a, (, 1)1 b, (1, ) 0 b, (1, 1) 0 (a, c), (, 1) 1 1 a, (, 1) 1 b, (1, ) 0 b, (1, 1) 0 (a, c), (, 1)1 1 a, (, 1)1 b, (1, ) 0 b, (1, 1) 0 (a, c), (, 1) 1 1 a, (, 1) 1 b, (1, ) 0 b, (1, 1) 0 (a, c), (, 1)1 1 a, (, 1)1 b, (1, 1) 0 b, (1, 1) 0 (a, c), (, 1) 1 1 a, (, 1) 1 b, (1, 1) 0 b, (1, 1) 0 (a, c), (, 1)1 1 a, (, 1)1 b, (1, 1) 0 (b, c), (1, ) 1 (b, c), (1, )1 (a, c), (, 1) 1 1 a, (, 1) 1 b, (1, 1) 0 (b, c), (1, ) 1 (b, c), (1, )1 (a, c), (, 1)1 1 (a, b), (, )1 (b, c), (1, ) 1 (a, c), (, 1)1 (a, c), (, 1) c, (1, 1) 1 1 a, (, 1)1 b, (1, ) 0 b, (1, 1) 0 b, (1, 1) 0 (a, c), (, 1) 1 1 a, (, 1) 1 b, (1, ) 0 b, (1, 1) 0 b, (1, 1) 0 (a, c), (, 1)1 1 a, (, 1)1 a, (, 1)1 b, (1, 1) 0 (a, c), (, 1) 1 (a, c), (, 1) 1 1 a, (, 1) 1 a, (, 1) 1 b, (1, 1) 0 (a, c), (, 1)1 (a, c), (, 1)1 1 a, (, 1)1 b, (1, 1) 0 (a, c), (, 1) 1 1 a, (, 1) 1 b, (1, 1) 0 (a, c), (, 1)1 1 a, (, 1)1 b, (1, ) 0 b, (1, ) 0 b, (1, 1) 0 (a, c), (, 1) 1 1 a, (, 1) 1 b, (1, ) 0 b, (1, ) 0 b, (1, 1) 0 (a, c), (, 1)1 Madison (August, 011)

13 Eight and 4-node hypercharge embeddings ( 5 additions) MSSM singlets with anomalous U(1) charge; isotriplets (Y = 0) Quasichiral pairs: lepton/higgs doublets; down-type quark isosinglets; nonabelian singlets (Y = Q = ±1) (+ some up-type quark isosinglets, quark isodoublets, shifted lepton/higgs doublets (Q = (±1, ±))) Small number fractional charges, chiral fourth family (Landau poles), shifted fourth families: (, ) 5, (, 1) 1, (, 1) 4, (1, ), (1, ) 1 Quasichiral pairs Mass by SX X (S =MSSM singlet) or X X (D-instantons) Produce quarks/scalar partners by QCD Cascade decays to lightest Decay: mixing, lepto/di-quark, HDO (rapid, delayed, quasistable) Madison (August, 011)

14 SM Rep Total Multiplicity Int. El. 4 th Gen. Removed Shifted 4 th Gen. Also Removed (1, 1) (1, ) (1, ) (1, ) (, 1) (, 1) (1, 1) (1, 1) (, 1) (, 1) (, ) (, ) (1, ) (1, ) (1, ) (1, 1) (1, 1) (, 1) (, 1) (, 1) 4 0 (1, ) 1 0 (, )5 0 (, 1) (1, ) (, )

15 Multiplicity of Quivers Hypercharge Total Int. El. H d Candidate No 4th Gen S µ H u H d νl c H ul ( 1, 1, 0) ( 1, 0, 1 ) ( 1, 1, 0, 0) ( 1, 1, 0, 1 ) ( 1, 1, 0, 1) ( 1, 0, 1, 0) ( 1, 0, 1, 1 ) ( 1, 0, 1, ) Remove particles leading to fractionally charged color singlets Require H d quiver-distinct from L-doublets (necessary for L, R-parity conservation) Perturbative NMSSM-like singlet (S µ H u H d ) (alternative: D-instanton) Perturbative ν c L -like singlet (νc L H ul) (alternative: Dirac or Weinberg op by D-instanton) Madison (August, 011)

16 Multiplicity of Quivers Hypercharge U(1) H d Candidate Fam. Univ S µ H u H d LH u νl c ( 1, 1, 0) ( 1, 0, 1 ) ( 1, 1, 0, 0) ( 1, 1, 0, 1 ) ( 1, 1, 0, 1) ( 1, 0, 1, 0) ( 1, 0, 1, 1 ) ( 1, 0, 1, ) Quivers with additional U(1) gauge symmetry Family universal for q L, L, u c L, dc L, and ec L Family non-universal (quiver distinct): GIM violation, FCNC (B s anomalies?) Madison (August, 011)

17 Axigluons from Type IIa Quivers Axigluons in type IIa string theory (M. Cvetič, J. Halverson, PL) CDF and D0: anomalous forward-backward asymmetry in p p t t Possible heavy gluon with axial coupling from broken chiral color (SU() L SU() R ) Madison (August, 011)

18 The CDF/D0 t t Forward-Backward Asymmetry CDF and D0: forward-backward asymmetry in p p t t CDF: A t t F B = ± for M t t > 450 GeV, with L = 5. fb 1 (SM: ± 0.01, NLO QCD) All theoretical explanations tightly constrained t t t t t channel W, Z, Higgs (FCNC) u(d) Z (W ) ū( d) q A G q s-channel colored resonance w. axial coupling (dijet, t t peaks?) Madison (August, 011)

19 Axigluons from Chiral Color Assume octet of heavy gluons w. axial couplings SU() L SU() R SU() (Pati,Salam; Frampton,Glashow; Frampton,Shu,Wang; ) A t t F B (ŝ) (ŝ M G )gq A gt A < 0 Heavy axigluon (M G 1 TeV): g q A gt A < 0 ( g A (1 4)g s ) Light axigluon (e.g., 450 GeV): universal g A allowed, but g A g s / and large width (Γ G /M G 10 0%) (Tavares,Schmaltz) Madison (August, 011)

20 Field Theory Axigluon Models for Chiral Color SU() L SU() }{{ R SU() U(1) } Y chiral color (n L, n R, n ) Y }{{} fields Ordinary quark family: L = g L A µ L J Lµ + g R A µ R J Rµ Q + u c L + dc L = (, 1, ) 1/ + (1,, 1) / + (1,, 1) 1/ J i L,Rµ = qλi γ (1 γ 5 ) µ Possible mirror third family (for g q A gt A < 0): q t c L + bc L + Q = (, 1, 1) / + (, 1, 1) 1/ + (1,, ) 1/ Madison (August, 011)

21 Break to diagonal (vector) SU(): Φ = (,, 1) 0 with 0 Φ 0 = v φ I L = g s A µ ( J Lµ + J Rµ ) }{{} QCD + g s G µ (cot δ J Lµ tan δ J Rµ ) }{{} massive axigluon tan δ g R /g L, g s g L sin δ, M G = g L + g R v φ Axial coupling to ordinary (mirror) quark family: g A = 1 g s(cot δ + tan δ) g s Special case: g L = g R : pure axial, g A = g s, M G = g s v φ Difficulites: g A, width, anomalies, Yukawas, FCNC Madison (August, 011)

22 Anomalies SU() L, SU() R, SU() L U(1) Y, SU() R U(1) Y anomalies triangle Chiral exotics to cancel: second mirror family, quixes, dichromatics, : Landau poles and EWPT Quasichiral quark doublet pairs: Q c + Q = (, 1, ) 1/ + (1,, ) 1/ Q + Qc (ordinary) = (, 1, ) 1/ + (1,, ) 1/ (mirror) Alternative: quasichiral quark singlet pairs: (, 1, 1) / + (, 1, 1) 1/ + (1,, 1) / + (1,, 1) 1/ (or mirror) Madison (August, 011)

23 Yukawa Couplings/FCNC Ordinary family: Q + u c L + dc L = (, 1, ) 1/ + (1,, 1) / + (1,, 1) 1/ Q c + Q = (, 1, ) 1/ + (1,, ) 1/ (ordinary) Quasichiral mass by h Q Q Q c Φ, where Φ = (,, 1) 0 u or d masses: H u Q u c or H d Q d c require H u,d = (,, ) ±1/ Not available in type IIa (F theory?) Instead, generate by mixing with exotics (HDO) E.g., SQQ c, H u Q u c, and ΦQ Q c, where S = (1, 1, 1) 0 and H u = (1, 1, ) 1/ FCNC by axigluons (for mirror third family) or Higgs Madison (August, 011)

24 Type IIa Embedding of Axigluon Model Attempt to embed ordinary, or ordinary + mirror in 4-node U() a1 U() a U() b U(1) c Try to avoid vector pairs ( Madrid): U(1) Y = 1 U() a U() a + 1 U(1) c Need fifth-node for H d L distinction Madison (August, 011)

25 Ordinary or mirror quark families label Q u c L d c L G 1 (a 1, b) (a, c) (a, c) G (a 1, b) (a, c) a G 1 (a 1, b) (a, c) (a, c) G (a 1, b) (a, c) a label Q t c L b c L M 1 (a, b) (a 1, c) (a 1, c) M (a, b) (a 1, c) a 1 M 1 (a, b) (a 1, c) (a 1, c) M (a, b) (a 1, c) a 1 Three families quark sector type T a1 T a T b T c M a1 M a M b M c GGG GG G GGM G GM GG M G G M Quasichiral pairs for T a1,a Ordinary and quasichiral Higgs/leptons for T b,c, M Madison (August, 011)

26 a 1, tadpoles cancelled by label Q Q c T a1 T a T b T c M a1 M a M c M d G E (a, b) (a 1, b) G E (a, b) (a 1, b) M E (a 1, b) (a, b) M E (a 1, b) (a, b) No quark vector pairs no G G, M M, GM, G M colored sector type T a1 T a T b T c M a1 M a M b M c GGG G E G E G E GG M G E G E M E SU() a1 SU() a SU() by Φ + Φ ((,, 1) 0 + (,, 1) 0 ) Unavoidable (?) vector pair Exotic masses by Φ + Φ Ordinary masses/mixings by singlets ( b ), HDO, and D-instantons Appears possible, but complicated and delicate Madison (August, 011)

27 It appears possible to construct axigluon model, but Complicated construction; require Φ + Φ vector pair FCNC Dijet and t t resonance search at LHC should soon exclude or observe But, well-motivated by CDF/D0 t t asymmetry Madison (August, 011)

28 Conclusions The string vacuum (landscape beyond MSSM) Tadpoles and extended MSSM quivers (stringy constraints) New matter and Z s motivated (even for M s M pl ) (singlets, triplets, quasichiral; additional U(1) s (family nonuniversal?)) Axigluons from type IIa quivers (suggested by Tevatron t t asymmetry): possible but complicated Madison (August, 011)

29 Backup MSSM hypercharge embeddings (Anastasopoulos, Dijkstra, Kiritsis, Schellekens) Three-node embeddings Madrid: U(1) Y = 1 U(1) a + 1 U(1) c non-madrid: U(1) Y = 1 U(1) a 1 U(1) b Four-node embeddings U(1) Y = 1 U(1) a + 1 U(1) c + 1 U(1) d U(1) Y = 1 U(1) a 1 U(1) b + 1 U(1) d U(1) Y = 1 U(1) a + 1 U(1) c + U(1) d U(1) Y = 1 U(1) a 1 U(1) b U(1) Y = 1 U(1) a + 1 U(1) c U(1) Y = 1 U(1) a 1 U(1) b + U(1) d, Madison (August, 011)

30 q L (a, b) 1, 1 (a, b) 1, 1 (a, b) 1,1 u c L (a, c) 4, (a, c) 4, (a, c) 4, d c L ( a ),0 (a, c), (a, c), L (b, c), (b, c), (b, c), e c L ( c ), 4 ( c ), 4 H u (b, c), 1 ( c ), 4 H d (b, c), Add ( b ) 0, ( b ) 0, ( b ) 0, Madison (August, 011)

31 SM Rep Total Multiplicity 4 th Gen. Removed Shifted 4 th Gen. Also Removed (1, 1) (1, ) (1, ) (1, ) (, 1) (, 1) (1, 1) (1, 1) (1, ) (1, ) (, ) (, ) (, 1) (, 1) (1, ) (, ) (, 1) Madison (August, 011)