< 10 5,... m νe /m e. y ν. m ν y ν φ. φφ M. m ν y 2 ν. m ν y ν φ ν. φ ν 0.1 ev

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Sylvia Barton
5 years ago
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4 m νe /m e < 10 5,... m ν y ν φ y ν m ν y 2 ν φφ M M m ν y ν φ ν φ ν 0.1 ev

5 φ ν V =!m 2 " " 2 2 +m "# " # 2 +m 3 2 (" " # + " # ") + $ 1 2 " 4 + $ 2 2 " # 4 +$ 3 " 2 " # 2 +$ 4 (" " # )(" # ") + $ 5 2 [(" " # ) 2 + (" # ") 2 ] m 2 3! m 2 2!, m!" Z 2 fields SM fields (SM Higgs: ) R : N Higgs doublet: Z 2 -charge φ φ ν

6 φ ν Z 2 V =!m 2 " " 2 2 +m "# " # 2 +m 3 2 (" " # + " # ") + $ 1 2 " 4 + $ 2 2 " # 4 +$ 3 " 2 " # 2 +$ 4 (" " # )(" # ") + $ 5 2 [(" " # ) 2 + (" # ") 2 ] m 2 3! m 2 2!, m!" Z 2 fields SM fields (SM Higgs: ) R : N Higgs doublet: Z 2 -charge φ φ ν

7 φ ν V =!m 2 " " 2 2 +m "# " # 2 +m 3 2 (" " # + " # ") + $ 1 2 " 4 + $ 2 2 " # 4 +$ 3 " 2 " # 2 +$ 4 (" " # )(" # ") + $ 5 2 [(" " # ) 2 + (" # ") 2 ] V m 2 3! m 2 2!,m!"!"#! dv d! = 0 " #!$ = 2m 2! % 1

8 φ ν V =!m 2 " " 2 2 +m "# " # 2 +m 3 2 (" " # + " # ") + $ 1 2 " 4 + $ 2 2 " # 4 +$ 3 " 2 " # 2 +$ 4 (" " # )(" # ") + $ 5 2 [(" " # ) 2 + (" # ") 2 ] V m 2 3! m 2 2!,m!"! "!"#!" # $ dv d! = 0 " #!$ = 2m 2! % 1 dv = 0 # $! " %! m 2 3 $!% 2 d! " m!"! m 2 φ m 2 ν 3 φ ν φ

9 TeV 2 m ν M GUT

10 TeV 2 m ν M GUT m ν TeV 2 /M GUT

11 TeV 2 m ν M GUT m ν TeV 2 /M GUT H ν () ρ () H u(d) /M W h = µh u H d + MH ν H ν + ρh u H ν + ρ H ν H d M GUT O(1) TeV

12 TeV 2 m ν M GUT W GUT h = M 0 trσ 2 + λtrσ 3 + 5Σ 5 M ν Σ 5 ν M 2 5 ν 5 ν W h = µh u H d + MH ν H ν + ρh u H ν + ρ H ν H d M GUT O(1) TeV

13 TeV 2 m ν M GUT W GUT h = M 0 trσ 2 + λtrσ 3 + 5Σ 5 M ν Σ 5 ν M 2 5 ν 5 ν W h = µh u H d + MH ν H ν + ρh u H ν + ρ H ν H d M GUT O(1) TeV

14 TeV 2 m ν M GUT W GUT h = M 0 trσ 2 + λtrσ 3 + 5Σ 5 M ν Σ 5 ν M 2 5 ν 5 ν W h = µh u H d + MH ν H ν + ρh u H ν + ρ H ν H d M GUT O(1) TeV

15 TeV 2 m ν M GUT W GUT h = M 0 trσ 2 + λtrσ 3 + 5Σ 5 M ν Σ 5 ν M 2 5 ν 5 ν ρ ρ W h = µh u H d + MH ν H ν + ρh u H ν + ρ H ν H d M GUT O(1) TeV

17 m T T T m T >

18 W = 1 4 f u ij 10 i 10 j H + 2f dij 10 i 5 j H + fνij 1 i 5 j Φ ν

19 W = 1 4 f u ij 10 i 10 j H + 2f dij 10 i 5 j H + fνij 1 i 5 j Φ ν 10 = {Q i,u i, (V KM ) ij Ē j } 5 = {(V D ) ij Dj, (V D ) ij L j } 1 = { N i } V D m ν

20 W = 1 4 f u ij 10 i 10 j H + 2f dij 10 i 5 j H + fνij 1 i 5 j Φ ν H = {T, H u } H = { T, Hd } Φ ν = {T ν,h ν } W = f ui Q i U i H u +(V KM) ij f dj Q i D j H d + f di E i L i H d f νi V Dij N i L j H ν + f uj (V KM ) ji E i U j T 1 2 f u i Q i Q i T +(V KM) ij f dj U i D j T (V KM ) ij f dj Q i L j T + fνi V Dij N i D j T ν

21 W = f ui Q i U i H u +(V KM) ij f dj Q i D j H d + f di E i L i H d f νi V Dij N i L j H ν + f uj (V KM ) ji E i U j T 1 2 f u i Q i Q i T +(V KM) ij f dj U i D j T (V KM ) ij f dj Q i L j T + fνi V Dij N i D j T ν

22 W = f ui Q i U i H u +(V KM) ij f dj Q i D j H d + f di E i L i H d f νi V Dij N i L j H ν + f uj (V KM ) ji E i U j T 1 2 f u i Q i Q i T +(V KM) ij f dj U i D j T (V KM ) ij f dj Q i L j T + fνi V Dij N i D j T ν Q L L τ(p K + ν e ) > (years) T W, Z, B m T > Q Q Q

23 W = f ui Q i U i H u +(V KM) ij f dj Q i D j H d + f di E i L i H d f νi V Dij N i L j H ν + f uj (V KM ) ji E i U j T 1 2 f u i Q i Q i T +(V KM) ij f dj U i D j T (V KM ) ij f dj Q i L j T + fνi V Dij N i D j T ν T ν α s m Tν GeV m Tν GeV m T > GeV

25 W = f ui Q i U i H u +(V KM) ij f dj Q i D j H d + f di E i L i H d f νi V Dij N i L j H ν + f uj (V KM ) ji E i U j T 1 2 f u i Q i Q i T +(V KM) ij f dj U i D j T (V KM ) ij f dj Q i L j T + fνi V Dij N i D j T ν

26 W = f ui Q i U i H u +(V KM) ij f dj Q i D j H d + f di E i L i H d f νi V Dij N i L j H ν + f uj (V KM ) ji E i U j T 1 2 f u i Q i Q i T +(V KM) ij f dj U i D j T (V KM ) ij f dj Q i L j T + fνi V Dij N i D j T ν N k N k L i L j D i D j f νk V Dki H ν f νk V Dkj f νk V Dki T ν f νk V Dkj (δm 2 L) ij f 2 ν k 8π 2 (V D) ki (V D ) kj (3m a 2 0) log M P M Tν (δm 2 D) ij f 2 ν k 8π 2 (V D) ki (V D ) kj (3m a 2 0) log M P M Tν

27 W = 1 4 f u ij 10 i 10 j H + 2f dij 10 i 5 j H + fνij 1 i 5 j Φ ν N R W = 1 4 f u ij 10 i 10 j H + 2f dij 10 i 5 j H + fνij 1 i 5 j H + M ij 1 i 1 j

28 W = f ui Q i U i H u +(V KM) ij f dj Q i D j H d + f di E i L i H d f νi V Dij N i L j H ν + f uj (V KM ) ji E i U j T 1 2 f u i Q i Q i T +(V KM) ij f dj U i D j T (V KM ) ij f dj Q i L j T + fνi V Dij N i D j T ν N R W = f ui Q i U i H u +(V KM) ij f dj Q i D j H d + f di E i L i H d f νi V Dij N i L j H u + f uj (V KM ) ji E i U j T 1 2 f u i Q i Q i T M ijn i N j +(V KM) ij f dj U i D j T (V KM ) ij f dj Q i L j T + fνi V Dij N i D j T

29 W = f ui Q i U i H u +(V KM) ij f dj Q i D j H d + f di E i L i H d f νi V Dij N i L j H ν + f uj (V KM ) ji E i U j T 1 2 f u i Q i Q i T +(V KM) ij f dj U i D j T (V KM ) ij f dj Q i L j T + fνi V Dij N i D j T ν (δm 2 L) ij f 2 ν k 8π 2 (V D) ki (V D ) kj (3m a 2 0) log M P M Tν (δm 2 D) ij f 2 ν k 8π 2 (V D) ki (V D ) kj (3m a 2 0) log M P M Tν N R N k W = f ui Q i U i H u +(V KM) ij f dj Q i D j H d + f di E i L i H d f νi V Dij N i L j H u + f uj (V KM ) ji E i U j T 1 2 f u i Q i Q i T M ijn i N j +(V KM) ij f dj U i D j T (V KM ) ij f dj Q i L j T + fνi V Dij N i D j T L i L j f νk V Dki H u N k f νk V Dkj (δm 2 L) ij f ν k f νm 8π 2 (V D) ki (V M ) lk (V M ) lm (V D ) mj (3m a 2 0) log V M M P M N D i f νk V Dki T f νk V Dkj D j (δm 2 D) ij f ν k f νm 8π 2 M P (VD) ki (VM ) lk (V M ) lm (V D ) mj (3m a 2 0) log M T (M T >M GUT )

30 N R (δm 2 L) ij f 2 ν k 8π 2 (V D) ki (V D ) kj (3m a 2 0) log M P M Tν (δm 2 L) ij f ν k f νm 8π 2 (V D) ki (V M ) lk (V M ) lm (V D ) mj (3m a 2 0) log M P M N (δm 2 D) ij f 2 ν k 8π 2 (V D) ki (V D ) kj (3m a 2 0) log M P M Tν (δm 2 D) ij f ν k f νm 8π 2 (V D) ki (V M ) lk (V M ) lm (V D ) mj (3m a 2 0) log M P M T (M T >M GUT ) N R N R M ij = M i δ ij (δm 2 D) ij N R µ eγ, τ µγ b sγ

31 Br(b sγ) Br(µ eγ) m 1/2 (GeV) µ eγ

32 Br(b sγ) Br(τ µγ) m 1/2 (GeV) Br(τ µγ)/br(µ eγ) 10

33 φ ν M φν m 3 m ν /y ν = φ ν b sγ Br(b sγ) T ν

Testing supersymmetric neutrino mass models at the LHC

LBV09, Madison, 2 September 2009 W. Porod, Uni. Würzburg p. /28 Testing supersymmetric neutrino mass models at the LHC Werner Porod Universität Würzburg LBV09, Madison, 2 September 2009 W. Porod, Uni.