A realistic model for DM interactions in the neutrino portal paradigm José I Illana + Vannia González Macías, José Wudka (UC Riverside) 1 Model 2 Constraints 3 Conclusions JHEP 05 (2016) 171 [160105051] 12th Dark Side of the Universe Workshop, Bergen, July 2016 1
Model Simplest realization of the neutrino portal paradigm: Standard l, e R, φ, W, Z F Dark, Φ F i : singlet(s) under G SM, G DM, except fermion number, Φ : same transformations under G DM, neutral under G SM (m < m Φ is the DM candidate) O (5) = ( φ l)(φ) ν L φ F Φ José I Illana (ugr) A realistic model for DM interactions in the neutrino portal paradigm 2
Model New fields and parameters L = l(i /D)l + e R i /De R + F(i/ M)F + (i/ m ) + Φ 2 m 2 Φ Φ 2 (ly (e) e R φ + ly (ν) F φ + z F Φ + hc) λ x φ 2 Φ 2 }{{} Higgs portal (m >m Φ ) José I Illana (ugr) A realistic model for DM interactions in the neutrino portal paradigm 3
Model New fields and parameters L = l(i /D)l + e R i /De R + F(i/ M)F + (i/ m ) + Φ 2 m 2 Φ Φ 2 (ly (e) e R φ + ly (ν) F φ + z F Φ + hc) λ x φ 2 Φ 2 }{{} Higgs portal (m >m Φ ) 36 = 18(Y (ν) ) + 9(M) + 6(z) + 3(m, m Φ, λ x ) phys 4 + 20 = 4(V) { + 3(η) + }} 8(U) + 3(M) { + 3(z) + 3(m, m Φ, λ x ) Y (ν) 2 v VηUM José I Illana (ugr) A realistic model for DM interactions in the neutrino portal paradigm 3
Model New fields and parameters L = l(i /D)l + e R i /De R + F(i/ M)F + (i/ m ) + Φ 2 m 2 Φ Φ 2 (ly (e) e R φ + ly (ν) F φ + z F Φ + hc) λ x φ 2 Φ 2 }{{} Higgs portal (m >m Φ ) phys 4 + 20 = 4(V) + 3(η) + 8(U) + 3(M) + 3(z) + 3(m, m Φ, λ x ) Light (n L ) and heavy neutrinos (N L,R ) of masses M N from mixing of (ν L, F L, F R ) F = U (CU L N L S n L + U R N R ) ν L = V(SU L N L + C n L ) C = 1 1 + η 2 S = η 1 + η 2 V = PMNS η = diag(η i ) > 0 U SU(3) M real diagonal U R UMU C 1 U L = M N = diagonal José I Illana (ugr) A realistic model for DM interactions in the neutrino portal paradigm 3
Model New fields and parameters Modified Z couplings: L g 2c W n L /Z C 2 n L + flavor diagonal but non universal José I Illana (ugr) A realistic model for DM interactions in the neutrino portal paradigm 4
Model New fields and parameters Modified Z couplings: L g 2c W n L /Z C 2 n L + flavor diagonal but non universal Modified W couplings: L g 2 e L /W VC n L + non unitary neutrino mixing José I Illana (ugr) A realistic model for DM interactions in the neutrino portal paradigm 4
Model New fields and parameters Modified Z couplings: L g 2c W n L /Z C 2 n L + flavor diagonal but non universal Modified W couplings: L g 2 e L /W VC n L + non unitary neutrino mixing SM DM interactions (both and Φ needed) José I Illana (ugr) A realistic model for DM interactions in the neutrino portal paradigm 4
Model New fields and parameters Modified Z couplings: L g 2c W n L /Z C 2 n L + flavor diagonal but non universal Modified W couplings: L g 2 e L /W VC n L + non unitary neutrino mixing SM DM interactions (both and Φ needed) Tree level n L Φ (neutrino portal) José I Illana (ugr) A realistic model for DM interactions in the neutrino portal paradigm 4
Model New fields and parameters Modified Z couplings: L g 2c W n L /Z C 2 n L + flavor diagonal but non universal Modified W couplings: L g 2 e L /W VC n L + non unitary neutrino mixing SM DM interactions (both and Φ needed) Tree level n L Φ (neutrino portal) One-loop Z Φ Z n, N n, N José I Illana (ugr) A realistic model for DM interactions in the neutrino portal paradigm 4
Model New fields and parameters Modified Z couplings: L g 2c W n L /Z C 2 n L + flavor diagonal but non universal Modified W couplings: L g 2 e L /W VC n L + non unitary neutrino mixing SM DM interactions (both and Φ needed) Tree level n L Φ (neutrino portal) One-loop Z Φ Z n, N n, N n, N Φ φ One-loop H Φ H + N n, N Φ φ José I Illana (ugr) A realistic model for DM interactions in the neutrino portal paradigm 4
Model New fields and parameters Modified Z couplings: L g 2c W n L /Z C 2 n L + flavor diagonal but non universal Modified W couplings: L g 2 e L /W VC n L + non unitary neutrino mixing SM DM interactions (both and Φ needed) Tree level n L Φ (neutrino portal) n, N Z inv H inv π, τ decays Relic abundance Direct detection Indirect detection Collider searches One-loop Z Φ Z n, N n, N Φ φ One-loop H Φ H + N n, N Φ φ José I Illana (ugr) A realistic model for DM interactions in the neutrino portal paradigm 4
Model Quasidegenerate heavy neutrinos M N = Λ1 η 1 C 1 1 2 η2 S η M Λ(1 1 2 U η 2 U) José I Illana (ugr) A realistic model for DM interactions in the neutrino portal paradigm 5
Model Quasidegenerate heavy neutrinos M N = Λ1 η 1 C 1 1 2 η2 S η M Λ(1 1 2 U η 2 U) Just the following 5 parameter combinations appear in DM observables: Λ m m Φ ηuz 2 λ x z 2 n α Φ = i(z T U η) α g 1 Z = i 2c W 16π 2 ηuz 2 γ µ (P L + ln Λ P R ) m Φ Λ H = i ( ηuz 2 8π 2 + λ x z 2 v2 v Λ 2 ln Λ ) m Φ José I Illana (ugr) A realistic model for DM interactions in the neutrino portal paradigm 5
Constraints Electroweak Z: Γ(Z inv) = 1 3 Tr(C4 )Γ SM (Z inv) η 2 i < 0014 [LEP] (3σ) José I Illana (ugr) A realistic model for DM interactions in the neutrino portal paradigm 6
Constraints Electroweak Z: Γ(Z inv) = 1 3 Tr(C4 )Γ SM (Z inv) η 2 i < 0014 [LEP] (3σ) W: l α ν α = l α VC ν α = l α [V(1 1 2 η2 )] αi n i α = [Vη 2 V ] αα = V αi 2 ηi 2 12 i 10 Z W Γ(π l α ν α ) = (1 α ) Γ SM Γ(l α l β ν α ν β ) = (1 α β ) Γ SM µ 100 08 06 04 02 00 00 02 04 06 08 e 100 10 (3σ) 12 José I Illana (ugr) A realistic model for DM interactions in the neutrino portal paradigm 6
Constraints Electroweak Z: Γ(Z inv) = 1 3 Tr(C4 )Γ SM (Z inv) η 2 i < 0014 [LEP] (3σ) W: l α ν α = l α VC ν α = l α [V(1 1 2 η2 )] αi n i α = [Vη 2 V ] αα = V αi 2 ηi 2 12 i 10 Z W Γ(π l α ν α ) = (1 α ) Γ SM Γ(l α l β ν α ν β ) = (1 α β ) Γ SM µ 100 08 06 04 H: Γ(H inv) v Λ (if m < m H /2) 02 00 00 ηuz 2 Λ2 v 2 + λ x z 2 Λ m Φ 02 < 17 04 06 08 e 100 10 (3σ) 12 [ATLAS] (90% CL) José I Illana (ugr) A realistic model for DM interactions in the neutrino portal paradigm 6
DM annihil Φ n i n j N N {}}{ f f Z H f f José I Illana (ugr) A realistic model for DM interactions in the neutrino portal paradigm 7
DM annihil Φ n i n j N N {}}{ f f Z H f f FeynRules, CALCHEP, MicrOmegas José I Illana (ugr) A realistic model for DM interactions in the neutrino portal paradigm 7
DM annihil Φ n i n j N N {}}{ f f Z H f f FeynRules, CALCHEP, MicrOmegas Parameter scan: Λ m m Φ ηuz 2 λ x z 2 José I Illana (ugr) A realistic model for DM interactions in the neutrino portal paradigm 7
DM annihil Φ n i n j N N {}}{ f f Z H f f FeynRules, CALCHEP, MicrOmegas Parameter scan: Λ m m Φ ηuz 2 λ x z 2 z = 2 (< 4π) ηuz < 2 η < 2 0014 }{{} Z inv 12 < λ x z 2 < 12 200 GeV Λ 10 TeV (heavy neutrinos) José I Illana (ugr) A realistic model for DM interactions in the neutrino portal paradigm 7
DM annihil Φ n i n j N N {}}{ f f Z H f f FeynRules, CALCHEP, MicrOmegas Parameter scan: Λ m m Φ ηuz 2 λ x z 2 z = 2 (< 4π) ηuz < 2 η < 2 0014 }{{} Z inv 12 < λ x z 2 < 12 200 GeV Λ 10 TeV (heavy neutrinos) non-degenerate: m + 10 GeV m Φ quasi-degenerate: m < m Φ < m + 10 GeV José I Illana (ugr) A realistic model for DM interactions in the neutrino portal paradigm 7
DM Relic abundance Ω h 2 = 01198 ± 0026 (3σ) [Planck] 5 5 Z inv Z inv 4 non-degenerate 4 quasi-degenerate Λeff [TeV] 3 2 Λeff [TeV] 3 2 1 1 10 20 30 40 50 60 70 80 10 m [GeV] dominant σv ν ν = (v/λ eff) 4 256πm 2 20 30 40 50 m [GeV] Λ eff = v/ 2 ηuz 60 70 80 m 2 + m2 Φ m 2 σv f f = (σ 0 ) }{{ Z + T (σ } 0 ) m }{{ H } S wave P wave v T 1/2 José I Illana (ugr) A realistic model for DM interactions in the neutrino portal paradigm 8
DM Relic abundance Ω h 2 = 01198 ± 0026 (3σ) [Planck] 5 5 Z inv Z inv 4 non-degenerate 4 quasi-degenerate Λeff [TeV] 3 2 Λeff [TeV] 3 2 1 2 m Z 1 2 m H 1 1 10 20 30 40 50 60 70 80 10 m [GeV] dominant σv ν ν = (v/λ eff) 4 256πm 2 20 30 40 50 m [GeV] Λ eff = v/ 2 ηuz 60 70 80 m 2 + m2 Φ m 2 σv f f = (σ 0 ) }{{ Z + T (σ } 0 ) m }{{ H } S wave P wave v T 1/2 José I Illana (ugr) A realistic model for DM interactions in the neutrino portal paradigm 8
DM Relic abundance Ω h 2 = 01198 ± 0026 (3σ) [Planck] 5 5 Z inv Z inv 4 non-degenerate 4 quasi-degenerate Λeff [TeV] 3 2 Λeff [TeV] 3 2 1 2 m Z 1 2 m H 1 10 1 20 30 40 50 60 70 80 10 m [GeV] dominant σv ν ν = (v/λ eff) 4 256πm 2 20 30 40 50 m [GeV] Λ eff = v/ 2 ηuz 60 70 80 m 2 + m2 Φ m 2 Coannihilation: Φ We, Zν, Hν ΦΦ HH, WW, ZZ σv f f = (σ 0 ) }{{ Z + T (σ } 0 ) m }{{ H } S wave P wave v T 1/2 José I Illana (ugr) A realistic model for DM interactions in the neutrino portal paradigm 8
DM Direct detection N N 10 44 10 45 non-degen (σn )SI [cm 2 ] 10 46 10 47 LUX (2015) XENON1T quasi- degen 10 48 10 20 30 40 50 m [GeV] 60 70 80 LUX excludes Z resonance region Non-degenerate: Cross sections larger than 10 46 cm 2 unless m m H /2 Quasi-degenerate: large parameter space available José I Illana (ugr) A realistic model for DM interactions in the neutrino portal paradigm 9
DM Indirect detection DM annihilation in the Sun 10 20 10 16 WIMP induced contained muons [cm 3 s 1 ] 10 21 10 22 10 23 10 24 10 25 10 26 10 27 10 28 WIMP induced upward muons [cm 2 s 1 ] 10 17 10 18 10 19 10 20 10 21 10 22 10 23 10 24 10 29 10 20 30 40 50 m [GeV] 60 70 80 10 25 10 20 30 40 50 m [GeV] 60 70 80 Neutrino line E ν = m : dn/e νi 1 2 C δ(e νi m ) C σ N ρ DM local [exp sensitivity: IceCube (E ν > 100 GeV) Super-K (up-muons > 10 14 cm 2 s 1 )] José I Illana (ugr) A realistic model for DM interactions in the neutrino portal paradigm 10
DM Indirect detection Annihilation cross sections for two channels σv (v 0) [cm 3 s 1 ] 10 26 10 28 10 30 10 32 10 34 Fermi-LAT b b (2015) b b 10 20 30 40 50 60 70 80 m [GeV] σv (v 0) [cm 3 s 1 ] 10 25 10 26 10 27 10 28 10 29 10 30 10 31 ν ν 10 20 30 40 50 60 70 80 m [GeV] Into charged fermions (1-loop): H-mediated is P-wave, suppressed wrt Z-mediated (S-wave) (safe from Fermi-LAT) Into neutrinos (tree-level): Poorly measured (Super-K?) José I Illana (ugr) A realistic model for DM interactions in the neutrino portal paradigm 11
Conclusions A realization of the neutrino-portal scenario: Multicomponent DM:, Φ (m < m Φ ) Neutrino mediators: F i (mixing with light neutrinos) José I Illana (ugr) A realistic model for DM interactions in the neutrino portal paradigm 12
Conclusions A realization of the neutrino-portal scenario: Multicomponent DM:, Φ (m < m Φ ) Neutrino mediators: F i (mixing with light neutrinos) Tree-level neutrino-dm couplings: correct relic density José I Illana (ugr) A realistic model for DM interactions in the neutrino portal paradigm 12
Conclusions A realization of the neutrino-portal scenario: Multicomponent DM:, Φ (m < m Φ ) Neutrino mediators: F i (mixing with light neutrinos) Tree-level neutrino-dm couplings: correct relic density Loop-suppressed (Z, H)-DM couplings: pass electroweak constraints (Z invisible, main killer) do not compromise direct or indirect detection or collider searches José I Illana (ugr) A realistic model for DM interactions in the neutrino portal paradigm 12
Conclusions A realization of the neutrino-portal scenario: Multicomponent DM:, Φ (m < m Φ ) Neutrino mediators: F i (mixing with light neutrinos) Tree-level neutrino-dm couplings: correct relic density Loop-suppressed (Z, H)-DM couplings: pass electroweak constraints (Z invisible, main killer) do not compromise direct or indirect detection or collider searches Cases (m, m Φ ) Non-degenerate 23 m 35 GeV or m m H /2 Quasi-degenerate also heavier (coannihilation) José I Illana (ugr) A realistic model for DM interactions in the neutrino portal paradigm 12
Conclusions A realization of the neutrino-portal scenario: Multicomponent DM:, Φ (m < m Φ ) Neutrino mediators: F i (mixing with light neutrinos) Tree-level neutrino-dm couplings: correct relic density Loop-suppressed (Z, H)-DM couplings: pass electroweak constraints (Z invisible, main killer) do not compromise direct or indirect detection or collider searches Cases (m, m Φ ) Non-degenerate 23 m 35 GeV or m m H /2 Quasi-degenerate also heavier (coannihilation) Cleanest signature: neutrino line (E ν = m ) José I Illana (ugr) A realistic model for DM interactions in the neutrino portal paradigm 12