Electroweak-scale Right-handed Neutrino Model And 126 GeV Higgs-like Particle

Electroweak-scale Right-handed Neutrino Model And 126 GeV Higgs-like Particle Ajinkya S. Kamat ask4db@virginia.edu http://people.virginia.edu/ ask4db With Prof. P. Q. Hung and Vinh Van Hoang (paper in preparation) University of Virginia 27 th February, 2013 Ajinkya Kamat (UVa) EWν R & 126 GeV 27 th February, 2013 1

Outline EWν R Model Motivation Ajinkya Kamat (UVa) EWν R & 126 GeV 27 th February, 2013 2

Outline EWν R Model Motivation Overview of the Electroweak-scale Right-handed Neutrino (EWν R ) model Ajinkya Kamat (UVa) EWν R & 126 GeV 27 th February, 2013 2

Outline EWν R Model Motivation Overview of the Electroweak-scale Right-handed Neutrino (EWν R ) model Accommodating the 126 GeV result from LHC Ajinkya Kamat (UVa) EWν R & 126 GeV 27 th February, 2013 2

Outline EWν R Model Motivation Overview of the Electroweak-scale Right-handed Neutrino (EWν R ) model Accommodating the 126 GeV result from LHC An extended EWν R Ajinkya Kamat (UVa) EWν R & 126 GeV 27 th February, 2013 2

Two most pressing problems in particle physics Nature of spontaneous breaking of the electroweak symmetry Nature of neutrino masses and mixings Ajinkya Kamat (UVa) EWν R & 126 GeV 27 th February, 2013 3

Two most pressing problems in particle physics Nature of spontaneous breaking of the electroweak symmetry Nature of neutrino masses and mixings Discovery of a new 126 GeV particle could be significant step in unfolding the first mystery Ajinkya Kamat (UVa) EWν R & 126 GeV 27 th February, 2013 3

Motivation EWν R Model Neutrino (ν) masses popular Seesaw mechanism Ajinkya Kamat (UVa) EWν R & 126 GeV 27 th February, 2013 4

Motivation EWν R Model Neutrino (ν) masses popular Seesaw mechanism In general Seesaw Mechanism: ν R SU(2) L U(1) Y singlet Right-handed neutrino mass at GUT scale NOT testable at LHC So m ν (md ν )2 M R 1 Dirac mass Majorana mass Electroweak scale Majorana masses of Right-handed Neutrinos (EWν R ) possible (?) Within SM group SU(3) c x SU(2) L x U(1) Y (?) Ajinkya Kamat (UVa) EWν R & 126 GeV 27 th February, 2013 4

Motivation EWν R Model Neutrino (ν) masses popular Seesaw mechanism In general Seesaw Mechanism: ν R SU(2) L U(1) Y singlet Right-handed neutrino mass at GUT scale NOT testable at LHC So m ν (md ν )2 M R 1 Dirac mass Majorana mass Electroweak scale Majorana masses of Right-handed Neutrinos (EWν R ) possible (?) Within SM group SU(3) c x SU(2) L x U(1) Y (?) possible! [PQ, PLB 649 (2007)] Ajinkya Kamat (UVa) EWν R & 126 GeV 27 th February, 2013 4

What s next option after a singlet ν R? l L = ν L e L, e R Ajinkya Kamat (UVa) EWν R & 126 GeV 27 th February, 2013 5

What s next option after a singlet ν R? l L = ν L e L, e R l M R = ν R e M R, e M L Ajinkya Kamat (UVa) EWν R & 126 GeV 27 th February, 2013 5

To ensure anomaly cancellation q L = u L d L, u R, d R Ajinkya Kamat (UVa) EWν R & 126 GeV 27 th February, 2013 6

To ensure anomaly cancellation q L = u L d L, u R, d R q M R = um R d M R, u M L, d M L Ajinkya Kamat (UVa) EWν R & 126 GeV 27 th February, 2013 6

l L = ( ) ( νl, e e R lr M νr = L er M ), e M L Ajinkya Kamat (UVa) EWν R & 126 GeV 27 th February, 2013 7

l L = ( ) ( νl, e e R lr M νr = L er M ), e M L Majorana L M = g M ( l M,T R σ 2 )( ) l M R + h.c. Ajinkya Kamat (UVa) EWν R & 126 GeV 27 th February, 2013 7

l L = ( ) ( νl, e e R lr M νr = L er M ), e M L Majorana L M = g M ( l M,T R σ 2 )( ) l M R + h.c. Charged singlet Ajinkya Kamat (UVa) EWν R & 126 GeV 27 th February, 2013 7

l L = ( ) ( νl, e e R lr M νr = L er M ), e M L Majorana L M = g M ( l M,T R σ 2 )( ı τ2 χ ) l M R + h.c. χ ( 3, Y 2 = 1) Ajinkya Kamat (UVa) EWν R & 126 GeV 27 th February, 2013 7

l L = ( ) ( νl, e e R lr M νr = L er M ), e M L Majorana L M = g M ( l M,T R σ 2 )( ı τ2 χ ) l M R + h.c. χ ( 3, Y 2 = 1) M R = g M v M ; < χ 0 >= v M Λ EW 1 χ + χ ++ 2 χ = χ 0 1 2 χ + Ajinkya Kamat (UVa) EWν R & 126 GeV 27 th February, 2013 7

l L = ( ) ( νl, e e R lr M νr = L er M ), e M L Majorana L M = g M ( l M,T R σ 2 )( ı τ2 χ ) l M R + h.c. χ ( 3, Y 2 = 1) M R = g M v M ; < χ 0 >= v M Λ EW 1 χ + χ ++ 2 χ = χ 0 1 2 χ + Z width M R > M Z / 2 Ajinkya Kamat (UVa) EWν R & 126 GeV 27 th February, 2013 7

l L = ( ) ( νl, e e R lr M νr = L er M ), e M L Ajinkya Kamat (UVa) EWν R & 126 GeV 27 th February, 2013 8

l L = ( ) ( νl, e e R lr M νr = L er M ), e M L Dirac L S = g sl L L φ S L M R + h.c. Ajinkya Kamat (UVa) EWν R & 126 GeV 27 th February, 2013 8

l L = ( ) ( νl, e e R lr M νr = L er M ), e M L Dirac L S = g sl L L φ S L M R + h.c. φ S ( 1, Y 2 = 0) m D ν = g Sl v S < φ S >= v S << v M m ν 1eV v S 10 5 6 ev Ajinkya Kamat (UVa) EWν R & 126 GeV 27 th February, 2013 8

Ajinkya Kamat (UVa) EWν R & 126 GeV 27 th February, 2013 9

Energy scale Λ EW 246 GeV Λ GUT 10 16 GeV Ajinkya Kamat (UVa) EWν R & 126 GeV 27 th February, 2013 9

Energy scale Λ EW 246 GeV Λ GUT 10 16 GeV v S 10 5 6 ev Λ EW 246 GeV Energy scale Ajinkya Kamat (UVa) EWν R & 126 GeV 27 th February, 2013 9

ρ = M 2 W M 2 Z cosθ2 W Ajinkya Kamat (UVa) EWν R & 126 GeV 27 th February, 2013 10

ρ = M 2 W M 2 Z cosθ2 W = T,Y [4T (T + 1) Y 2 ] V T,Y 2 c T,Y T,Y 2Y 2 V T,Y 2 Tree level; c T,Y = 1, (1/2) for (T,Y) complex (real) rep. [The Higgs Hunter s Guide, Gunion et.al.] Ajinkya Kamat (UVa) EWν R & 126 GeV 27 th February, 2013 10

ρ = M 2 W M 2 Z cosθ2 W = 1 Tree level Ajinkya Kamat (UVa) EWν R & 126 GeV 27 th February, 2013 11

ρ = M 2 W M 2 Z cosθ2 W Tree level = 1 add ξ (3, Y 2 = 0) Ajinkya Kamat (UVa) EWν R & 126 GeV 27 th February, 2013 11

Fermions SM Fermions EWν R Mirror Fermions L Li = Q Li = SM Fields SU(2) W U(1) Y Additional Fields SU(2) W U(1) Y ( ( ) ν L 2 1 L M ν R Ri = 2 1 e L e M R ) i ( ) i u L 2 (1/3) Q M u M R Ri = 2 (1/3) d L d M R i i e Ri 1 2 e M Li 1 2 u Ri 1 (4/3) u M Li 1 (4/3) d Ri 1 (2/3) d M Li 1 (2/3) Scalars Field SU(2) W U(1) Y VEV ( ) χ 3 2 v M ξ 3 0 v M Φ 2 1 v 2/ 2 φ S 1 0 v S Ajinkya Kamat (UVa) EWν R & 126 GeV 27 th February, 2013 12

φ 0 1 (v 2 + φ 0r + ıφ 0 ı ), χ 0 v M + 1 (χ 0r + ıχ 0 ı ), 2 2 v = v2 2 + 8v M 2 246GeV cos(θ H ) = c H v 2 /v sin(θ H ) = s H 2 2v M /v SU(2) L SU(2) R Ajinkya Kamat (UVa) EWν R & 126 GeV 27 th February, 2013 13

φ 0 1 (v 2 + φ 0r + ıφ 0 ı ), χ 0 v M + 1 (χ 0r + ıχ 0 ı ), 2 2 v = v2 2 + 8v M 2 246GeV cos(θ H ) = c H v 2 /v sin(θ H ) = s H 2 2v M /v SU(2) D Ajinkya Kamat (UVa) EWν R & 126 GeV 27 th February, 2013 13

φ 0 1 (v 2 + φ 0r + ıφ 0 ı ), χ 0 v M + 1 (χ 0r + ıχ 0 ı ), 2 2 v = v2 2 + 8v M 2 246GeV cos(θ H ) = c H v 2 /v sin(θ H ) = s H 2 2v M /v SU(2) D H ++ 5 = χ ++, H + 5 = 1 2 (χ + ξ + ), H 0 5 = 1 6 ( 2ξ 0 2χ 0r), Ajinkya Kamat (UVa) EWν R & 126 GeV 27 th February, 2013 13

φ 0 1 (v 2 + φ 0r + ıφ 0 ı ), χ 0 v M + 1 (χ 0r + ıχ 0 ı ), 2 2 v = v2 2 + 8v M 2 246GeV cos(θ H ) = c H v 2 /v sin(θ H ) = s H 2 2v M /v SU(2) D H ++ 5 = χ ++, H + 5 = 1 2 (χ + ξ + ), H 0 5 = 1 6 ( 2ξ 0 2χ 0r), H + 3 = c H 2 (χ + + ξ + ) s H φ +, H 0 3 = ı ( c H χ 0 ı + s H φ 0 ı), H 0 1 = φ 0r, H 0 1 = 1 3 ( 2χ 0r + ξ 0), G ± 3 = c H φ ± + s H 2 (χ ± + ξ ± ), G 0 3 = ı( c H φ 0 ı + s H χ 0 ı ) Ajinkya Kamat (UVa) EWν R & 126 GeV 27 th February, 2013 13

φ 0 1 (v 2 + φ 0r + ıφ 0 ı ), χ 0 v M + 1 (χ 0r + ıχ 0 ı ), 2 2 v = v2 2 + 8v M 2 246GeV cos(θ H ) = c H v 2 /v sin(θ H ) = s H 2 2v M /v SU(2) D H ++ 5 = χ ++, H + 5 = 1 2 (χ + ξ + ), H 0 5 = 1 6 ( 2ξ 0 2χ 0r), H + 3 = c H 2 (χ + + ξ + ) s H φ +, H 0 3 = ı ( c H χ 0 ı + s H φ 0 ı), H 0 1 = φ 0r, H 0 1 = 1 3 ( 2χ 0r + ξ 0), G ± 3 = c H φ ± + s H 2 (χ ± + ξ ± ), G 0 3 = ı( c H φ 0 ı + s H χ 0 ı ) with H 5 = (H ++ 5 ), H 5 = (H + 5 ), H 3 = (H + 3 ) and H 0 3 = (H 0 3 ) Ajinkya Kamat (UVa) EWν R & 126 GeV 27 th February, 2013 13

φ 0 1 (v 2 + φ 0r + ıφ 0 ı ), χ 0 v M + 1 (χ 0r + ıχ 0 ı ), 2 2 v = v2 2 + 8v M 2 246GeV cos(θ H ) = c H v 2 /v sin(θ H ) = s H 2 2v M /v SU(2) D H ++ 5 = χ ++, H + 5 = 1 2 (χ + ξ + ), H 0 5 = 1 6 ( 2ξ 0 2χ 0r), H + 3 = c H 2 (χ + + ξ + ) s H φ +, H 0 3 = ı ( c H χ 0 ı + s H φ 0 ı), H 0 1 = φ 0r, H 0 1 = 1 3 ( 2χ 0r + ξ 0), doublet φ & triplet χ; 0 Only doublet φ; 0 + G ± 3 = c H φ ± + s H 2 (χ ± + ξ ± ), G 0 3 = ı( c H φ 0 ı + s H χ 0 ı ) with H 5 = (H ++ 5 ), H 5 = (H + 5 ), H 3 = (H + 3 ) and H 0 3 = (H 0 3 ) Ajinkya Kamat (UVa) EWν R & 126 GeV 27 th February, 2013 13

Does EWν R agree with EW precision measurements? Ajinkya Kamat (UVa) EWν R & 126 GeV 27 th February, 2013 14

Constraints Oblique Parameters S, T, U Ajinkya Kamat (UVa) EWν R & 126 GeV 27 th February, 2013 14

Oblique Parameters S Difference between Z self-energy at q 2 = M 2 Z and at q2 = 0 ( ) T 1 ρ ; Difference between isospin currents Π 11 and Π 33 at q 2 = 0 U Difference between W and Z self-energies at q 2 = M 2 Z and at q2 = 0 Ajinkya Kamat (UVa) EWν R & 126 GeV 27 th February, 2013 15

Agreement with Precision Measurements New Physics contributions, S and T, to S, T due to EWν R model are seen to, indeed, satisfy the constraints from precision measurements [Plotted by Vinh Hoang] 0.5 0.4 0.3 0.2 0.1 T ~ 0 0.1 0.2 0.3 0.4 0.5 0.5 0.4 0.3 0.2 0.1 0 0.1 0.2 0.3 0.4 0.5 S ~ Ajinkya Kamat (UVa) EWν R & 126 GeV 27 th February, 2013 16

126 GeV Higgs-like Particle CP-odd Higgs CP-even Higgs [CMS collaboration, PLB 716, 2012] [ATLAS collaboration, PLB 716, 2012] Ajinkya Kamat (UVa) EWν R & 126 GeV 27 th February, 2013 17

126 GeV Higgs-like Particle CP-odd Higgs CP-even Higgs [CMS collaboration, PLB 716, 2012] [ATLAS collaboration, PLB 716, 2012] σ(decay channel) = σ production Branching Ratio(decay channel) Ajinkya Kamat (UVa) EWν R & 126 GeV 27 th February, 2013 17

CP-odd Higgs CP-even Higgs How EWν R model accommodates this Ajinkya Kamat (UVa) EWν R & 126 GeV 27 th February, 2013 18

CP-odd Higgs CP-even Higgs How EWν R model accommodates this σ production Branching Ratio(decay channel) Ajinkya Kamat (UVa) EWν R & 126 GeV 27 th February, 2013 18

CP-odd Higgs CP-even Higgs How EWν R model accommodates this σ production Ajinkya Kamat (UVa) EWν R & 126 GeV 27 th February, 2013 18

gg H Production Channel CP-odd Higgs CP-even Higgs g f 3 f 1 f 2 H 0 g Ajinkya Kamat (UVa) EWν R & 126 GeV 27 th February, 2013 19

CP-odd Higgs CP-even Higgs CP-even Physical Scalar in EWν R g H 0 1 tt = ı m t g ; g 2 M W cos θ H 0 H 1 q M q = ı m qm g M 2 M W cos θ H Ajinkya Kamat (UVa) EWν R & 126 GeV 27 th February, 2013 20

CP-odd Higgs CP-even Higgs CP-even Physical Scalar in EWν R g H 0 1 tt = ı m t g ; g 2 M W cos θ H 0 H 1 q M q = ı m qm g M 2 M W cos θ H Back of the envelope: if mirror quarks contribute as much as top quark σ ( gg H1 0 ) 1 ( ) 49 cos 2 σ SM gg H θ H Cannot be compensated for all the branching ratios!! Ajinkya Kamat (UVa) EWν R & 126 GeV 27 th February, 2013 20

CP-odd Higgs CP-even Higgs CP-even Physical Scalar in EWν R g H 0 1 tt = ı m t g ; g 2 M W cos θ H 0 H 1 q M q = ı m qm g M 2 M W cos θ H Back of the envelope: if mirror quarks contribute as much as top quark σ ( gg H1 0 ) 1 ( ) 49 cos 2 σ SM gg H θ H Cannot be compensated for all the branching ratios!! H 0 1 in EWν R cannot be the new 126 GeV particle Ajinkya Kamat (UVa) EWν R & 126 GeV 27 th February, 2013 20

CP-odd Higgs CP-even Higgs CP-odd Physical Scalar in EWν R g H 0 3 tt = ı m t g sin θ H 2 M W cos θ H γ 5 g H 0 3 u M i u M i = ı m u g sin θ i M H γ 5 ; g 2 M W cos θ H 0 H 3 di M d M i = ı m d g sin θ i M H γ 5 2 M W cos θ H Ajinkya Kamat (UVa) EWν R & 126 GeV 27 th February, 2013 21

CP-odd Higgs CP-even Higgs CP-odd Physical Scalar in EWν R g H 0 3 tt = ı m t g sin θ H 2 M W cos θ H γ 5 g H 0 3 u M i u M i = ı m u g sin θ i M H γ 5 ; g 2 M W cos θ H 0 H 3 di M d M i = ı m d g sin θ i M H γ 5 2 M W cos θ H Back of the envelope: if mirror quarks contribute as much as the top quark σ ( gg H3 0 ) tan 2 ( ) θ H σ SM gg H!! Ajinkya Kamat (UVa) EWν R & 126 GeV 27 th February, 2013 21

CP-odd Higgs CP-even Higgs CP-odd Physical Scalar in EWν R g H 0 3 tt = ı m t g sin θ H 2 M W cos θ H γ 5 g H 0 3 u M i u M i = ı m u g sin θ i M H γ 5 ; g 2 M W cos θ H 0 H 3 di M d M i = ı m d g sin θ i M H γ 5 2 M W cos θ H Back of the envelope: if mirror quarks contribute as much as the top quark σ ( gg H3 0 ) tan 2 ( ) θ H σ SM gg H!! Thus, for tan 2 θ H 1, H3 0 could reproduce σ ( ) SM gg H Ajinkya Kamat (UVa) EWν R & 126 GeV 27 th February, 2013 21

CP-odd Higgs CP-even Higgs Recent Spin-Parity Result from CMS [CMS collaboration, PRL 110, 081813] Pseudoexperiments CMS 3000 0+ 2500 2000 1500 0- Observed -1 s = 7 (8) TeV, L = 5.1 (12.2) fb 1000 500 0-30 -20-10 0 10 20 30-2ln( L - / + 0 L 0 ) Ajinkya Kamat (UVa) EWν R & 126 GeV 27 th February, 2013 22

CP-odd Higgs CP-even Higgs Recent Spin-Parity Result from CMS [CMS collaboration, PRL 110, 081813] Pseudoexperiments CMS 3000 0+ 2500 2000 1500 0- Observed -1 s = 7 (8) TeV, L = 5.1 (12.2) fb 2.3σ Neither proved nor ruled out 1000 500 0-30 -20-10 0 10 20 30-2ln( L - / + 0 L 0 ) Ajinkya Kamat (UVa) EWν R & 126 GeV 27 th February, 2013 22

CP-odd Higgs CP-even Higgs Recent Spin-Parity Result from CMS [CMS collaboration, PRL 110, 081813] Pseudoexperiments CMS 3000 0+ 2500 2000 1500 1000 0- Observed -1 s = 7 (8) TeV, L = 5.1 (12.2) fb 2.3σ Neither proved nor ruled out More data needed for this analysis 500 0-30 -20-10 0 10 20 30-2ln( L - / + 0 L 0 ) Ajinkya Kamat (UVa) EWν R & 126 GeV 27 th February, 2013 22

CP-odd Higgs CP-even Higgs How EWν R accommodates 126 GeV particle as CP-even (0 + ) Higgs Ajinkya Kamat (UVa) EWν R & 126 GeV 27 th February, 2013 23

CP-odd Higgs CP-even Higgs How EWν R accommodates 126 GeV particle as CP-even (0 + ) Higgs Not with the minimal EWν R model just explained Ajinkya Kamat (UVa) EWν R & 126 GeV 27 th February, 2013 23

CP-odd Higgs CP-even Higgs Simplest Extension to EWν R Model φ singlet (1, Y /2 = 0) Ajinkya Kamat (UVa) EWν R & 126 GeV 27 th February, 2013 24

CP-odd Higgs CP-even Higgs Simplest Extension to EWν R Model Φ doublet (2, Y /2 = 1) Ajinkya Kamat (UVa) EWν R & 126 GeV 27 th February, 2013 24

CP-odd Higgs CP-even Higgs Simplest Extension to EWν R Model Φ doublet (2, Y /2 = 1) Known from 2 Higgs doublet model: 1 light Higgs and 1 heavy Higgs Ajinkya Kamat (UVa) EWν R & 126 GeV 27 th February, 2013 24

CP-odd Higgs CP-even Higgs Simplest Extension to EWν R Model Φ doublet (2, Y /2 = 1) Known from 2 Higgs doublet model: 1 light Higgs and 1 heavy Higgs But remember: g H 0 1 q M q M = ı m q M g 2 M W cos θ H Ajinkya Kamat (UVa) EWν R & 126 GeV 27 th February, 2013 24

CP-odd Higgs CP-even Higgs An Extended EWν R Ajinkya Kamat (UVa) EWν R & 126 GeV 27 th February, 2013 25

CP-odd Higgs CP-even Higgs An Extended EWν R Add another SU(2) scalar doublet (Y /2 = 1) Ajinkya Kamat (UVa) EWν R & 126 GeV 27 th February, 2013 25

CP-odd Higgs CP-even Higgs An Extended EWν R Add another SU(2) scalar doublet (Y /2 = 1) With a global U(1) SM U(1) MF symmetry such that and U(1) SM : Φ L e ıα SM Φ L l SM L e ıα SM l SM L, U(1) MF : Φ R e ıα MF Φ R l M R e ıα MF l M R. Ajinkya Kamat (UVa) EWν R & 126 GeV 27 th February, 2013 25

CP-odd Higgs CP-even Higgs An Extended EWν R Add another SU(2) scalar doublet (Y /2 = 1) With a global U(1) SM U(1) MF symmetry such that and U(1) SM : Φ L e ıα SM Φ L l SM L e ıα SM l SM L, U(1) MF : Φ R e ıα MF Φ R l M R e ıα MF l M R. Also under U(1) SM U(1) MF φ S e ı(α MF α SM ) φ S, and other fields are singlets under this symmetry. Ajinkya Kamat (UVa) EWν R & 126 GeV 27 th February, 2013 25

CP-odd Higgs CP-even Higgs Φ L couples only to SM fermions; gives masses to left-handed fermion doublets Ajinkya Kamat (UVa) EWν R & 126 GeV 27 th February, 2013 26

CP-odd Higgs CP-even Higgs Φ L couples only to SM fermions; gives masses to left-handed fermion doublets Φ R couples only to mirror fermions; gives masses to left-handed fermion doublets SU(2) W U(1) Y VEV χ 3 2 v M ξ 3 0 v M Φ L 2 1 v L 1 / 2 Φ R 2 1 v R 2 / 2 φ S 1 0 v S Ajinkya Kamat (UVa) EWν R & 126 GeV 27 th February, 2013 26

CP-odd Higgs CP-even Higgs Φ L couples only to SM fermions; gives masses to left-handed fermion doublets Φ R couples only to mirror fermions; gives masses to left-handed fermion doublets SU(2) W U(1) Y VEV χ 3 2 v M ξ 3 0 v M Φ L 2 1 v L 1 / 2 Φ R 2 1 v R 2 / 2 φ S 1 0 v S Physical states of SU(2) D custodial: a five-plet H ±±,±,0 5, two triplets H ±,0 3,1, H±,0 3,2 and three singlets H0,L 1, H 0,R 1, H1 0. Ajinkya Kamat (UVa) EWν R & 126 GeV 27 th February, 2013 26

CP-odd Higgs CP-even Higgs g H 0,L 1 tt = ı m t g 2 M W (v L 1 /v); g H 0,R 1 q M q M = ı m q M g 2 M W (v R 2 /v) Ajinkya Kamat (UVa) EWν R & 126 GeV 27 th February, 2013 27

CP-odd Higgs CP-even Higgs g H 0,L 1 tt = ı m t g 2 M W (v L 1 /v); g H 0,R 1 q M q M = ı m q M g 2 M W (v R 2 /v) Back of the envelope σ ( ( ) 2 gg H 0,L ) v ( ) 1 v1 L σ SM gg H Ajinkya Kamat (UVa) EWν R & 126 GeV 27 th February, 2013 27

CP-odd Higgs CP-even Higgs g H 0,L 1 tt = ı m t g 2 M W (v L 1 /v); g H 0,R 1 q M q M = ı m q M g 2 M W (v R 2 /v) Back of the envelope σ ( ( ) 2 gg H 0,L ) v ( ) 1 v1 L σ SM gg H Singlets mix to form Mass eigenstates Ajinkya Kamat (UVa) EWν R & 126 GeV 27 th February, 2013 27

CP-odd Higgs CP-even Higgs g H 0,L 1 tt = ı m t g 2 M W (v L 1 /v); g H 0,R 1 q M q M = ı m q M g 2 M W (v R 2 /v) Back of the envelope σ ( ( ) 2 gg H 0,L ) v ( ) 1 v1 L σ SM gg H Singlets mix to form Mass eigenstates Back of the envelope σ ( ( ) 2 gg H1,1 0 ) a1 2 v ( ) v1 L σ SM gg H, with singlet mixing parameter a 2 1 1 and v L 1 v. Ajinkya Kamat (UVa) EWν R & 126 GeV 27 th February, 2013 27

Summary EWν R Model CP-odd Higgs CP-even Higgs A model with Electroweak-scale Right-handed Neutrino (EWν R ) with Majorana mass Ajinkya Kamat (UVa) EWν R & 126 GeV 27 th February, 2013 28

Summary EWν R Model CP-odd Higgs CP-even Higgs A model with Electroweak-scale Right-handed Neutrino (EWν R ) with Majorana mass Makes Seesaw mechanism testable at LHC and near future colliders Does not violate constraints from EW precision measurements The new 126 GeV particle can be accommodated as CP-odd Higgs in minimal EWν R model (modulo spin-parity result from CMS) and as CP-even Higgs in an extended EWν R model Ajinkya Kamat (UVa) EWν R & 126 GeV 27 th February, 2013 28

What Next EWν R Model CP-odd Higgs CP-even Higgs Ajinkya Kamat (UVa) EWν R & 126 GeV 27 th February, 2013 29

What Next EWν R Model CP-odd Higgs CP-even Higgs In progress: Detailed study of branching ratios and total cross-sections of 126 GeV candidates in EWν R model EW Dynamical Symmetry Breaking in the model Ajinkya Kamat (UVa) EWν R & 126 GeV 27 th February, 2013 29

What Next EWν R Model CP-odd Higgs CP-even Higgs In progress: Detailed study of branching ratios and total cross-sections of 126 GeV candidates in EWν R model EW Dynamical Symmetry Breaking in the model Next: Experimental signals of EWν R model at LHC, e.g. like-sign double β-decay Ajinkya Kamat (UVa) EWν R & 126 GeV 27 th February, 2013 29

CP-odd Higgs CP-even Higgs Thank You! Ajinkya Kamat (UVa) EWν R & 126 GeV 27 th February, 2013 30