New physics models available for tesing with SHiP experiment

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1 New physics models available for tesing with SHiP experiment Dmitry Gorbunov Institute for Nuclear Research of RAS, Moscow HEPD seminar INR, Troitsk, Russia Dmitry Gorbunov (INR) New physics at GeV scale? , JINR 1 / 48

2 Outline Outline 1 Where is new physics? 2 Neutrino oscillations: NP is below EW scale 3 Elusive NP: portals to a hidden World To be tested at fixed target νmsm: 3 in 1 flask (neutrino oscillations, dark matter, baryon asymmetry of the Universe) Light Inflaton Light sgoldstinos Light neutralinos with R-parity violation Para-, Dark, Hidden, Massive photon 4 Summary Dmitry Gorbunov (INR) New physics at GeV scale? , JINR 2 / 48

3 Outline Standard Model: Success and Problems Gauge fields (interactions): γ, W ±, Z, g Three generations of matter: L = ( ν L e L ), er ; Q = ( ul d L ), d R, u R Describes all experiments dealing with electroweak and strong interactions Does not describe Neutrino oscillations Dark matter (Ω DM ) Baryon asymmetry (Ω B ) Inflationary stage Dark energy (Ω Λ ) Strong CP: boundary terms, new topology,... Gauge hierarchy: No new scales! Quantum gravity Try to explain all above Low-energy supersymmetry?? Planck-scale physics saves the day Dmitry Gorbunov (INR) New physics at GeV scale? , JINR 3 / 48

4 Outline Where is new physics? 1 Where is new physics? 2 Neutrino oscillations: NP is below EW scale 3 Elusive NP: portals to a hidden World To be tested at fixed target νmsm: 3 in 1 flask (neutrino oscillations, dark matter, baryon asymmetry of the Universe) Light Inflaton Light sgoldstinos Light neutralinos with R-parity violation Para-, Dark, Hidden, Massive photon 4 Summary Dmitry Gorbunov (INR) New physics at GeV scale? , JINR 4 / 48

5 Searches at LHC Where is new physics? Finally... Higgs boson has been recognized Dmitry Gorbunov (INR) New physics at GeV scale? , JINR 5 / 48

6 Searches at LHC Where is new physics? Finally... Higgs boson has been recognized Dmitry Gorbunov (INR) New physics at GeV scale? , JINR 5 / 48

7 Where is new physics? RG evolution of the SM couplings m 2 B I g 3 y t 0.5 g 2 g Y 0.0 Λ Β Λ GeV Dmitry Gorbunov (INR) New physics at GeV scale? , JINR 6 / 48

8 Where is new physics? How natural the 126 GeV... Top pole mass Mt in GeV Instability Meta stability ,2,3 Σ Top pole mass Mt in GeV Instability Meta stability Stability Non perturbativity h Stability Higgs pole mass M h in GeV Dmitry Gorbunov (INR) New physics at GeV scale? , JINR 7 / 48

9 At the crossroads Where is new physics? What we have at present We certainly need NP Any NP coupled to Higgs contribute to the Higgs boson mass, which is 126 GeV No clear signal of NP (no SUSY) at 8 TeV Logically possible ways out NP is lurking at 13 TeV (why hidden so well at 8 TeV?) (why no hints in flavor?) NP is at the gravity (Planck) scale and gravity NP is below EW scale Dmitry Gorbunov (INR) New physics at GeV scale? , JINR 8 / 48

10 At the crossroads Where is new physics? What we have at present We certainly need NP Any NP coupled to Higgs contribute to the Higgs boson mass, which is 126 GeV No clear signal of NP (no SUSY) at 8 TeV Logically possible ways out NP is lurking at 13 TeV (why hidden so well at 8 TeV?) (why no hints in flavor?) NP is at the gravity (Planck) scale and gravity NP is below EW scale Dmitry Gorbunov (INR) New physics at GeV scale? , JINR 8 / 48

11 Outline Neutrino oscillations: NP is below EW scale 1 Where is new physics? 2 Neutrino oscillations: NP is below EW scale 3 Elusive NP: portals to a hidden World To be tested at fixed target νmsm: 3 in 1 flask (neutrino oscillations, dark matter, baryon asymmetry of the Universe) Light Inflaton Light sgoldstinos Light neutralinos with R-parity violation Para-, Dark, Hidden, Massive photon 4 Summary Dmitry Gorbunov (INR) New physics at GeV scale? , JINR 9 / 48

12 Neutrino oscillations: NP is below EW scale Active neutrino masses without new fields Dimension-5 operator L = 2 L (5) = F αβ 4Λ L α HH L c β + h.c. L α are SM leptonic doublets, α = 1,2,3, H a = ε ab Hb, a,b = 1,2; ( H T = 0,(v + h)/ ) 2 and in a unitary gauge where L (5) νν = v 2 F αβ 4Λ 1 2 ν αν c β + h.c. = m αβ 1 2 ν αν c β + h.c. Λ is the scale of new dynamics F αβ is the strength of new dynamics only their ratio is fixed by the scale of active neutrino masses Dmitry Gorbunov (INR) New physics at GeV scale? , JINR 10 / 48

13 Neutrino oscillations: NP is below EW scale Perturbative regime for model parameters ( F αβ 1 = Λ ev 2 GeV m 2 atm ) 1/2 The model has to be UV-completed at the scale Λ New physics The scale is certainly below the Planck (string) scale, and hence is most probably at (below) EW scale Why no hints recognized at this scale? couplings to the SM fields are tiny which probably implies not a GUT-like new physics (all is g) hence coupling to new gauge singlets those are usually nonrenormalizable interactions... however, there are exceptions... thus we arrive at the portals Dmitry Gorbunov (INR) New physics at GeV scale? , JINR 11 / 48

14 Neutrino oscillations: NP is below EW scale Perturbative regime for model parameters ( F αβ 1 = Λ ev 2 GeV m 2 atm ) 1/2 The model has to be UV-completed at the scale Λ New physics The scale is certainly below the Planck (string) scale, and hence is most probably at (below) EW scale Why no hints recognized at this scale? couplings to the SM fields are tiny which probably implies not a GUT-like new physics (all is g) hence coupling to new gauge singlets those are usually nonrenormalizable interactions... however, there are exceptions... thus we arrive at the portals Dmitry Gorbunov (INR) New physics at GeV scale? , JINR 11 / 48

15 Neutrino oscillations: NP is below EW scale Perturbative regime for model parameters ( F αβ 1 = Λ ev 2 GeV m 2 atm ) 1/2 The model has to be UV-completed at the scale Λ New physics The scale is certainly below the Planck (string) scale, and hence is most probably at (below) EW scale Why no hints recognized at this scale? couplings to the SM fields are tiny which probably implies not a GUT-like new physics (all is g) hence coupling to new gauge singlets those are usually nonrenormalizable interactions... however, there are exceptions... thus we arrive at the portals Dmitry Gorbunov (INR) New physics at GeV scale? , JINR 11 / 48

16 Neutrino oscillations: NP is below EW scale Perturbative regime for model parameters ( F αβ 1 = Λ ev 2 GeV m 2 atm ) 1/2 The model has to be UV-completed at the scale Λ New physics The scale is certainly below the Planck (string) scale, and hence is most probably at (below) EW scale Why no hints recognized at this scale? couplings to the SM fields are tiny which probably implies not a GUT-like new physics (all is g) hence coupling to new gauge singlets those are usually nonrenormalizable interactions... however, there are exceptions... thus we arrive at the portals Dmitry Gorbunov (INR) New physics at GeV scale? , JINR 11 / 48

17 Outline Elusive NP: portals to a hidden World 1 Where is new physics? 2 Neutrino oscillations: NP is below EW scale 3 Elusive NP: portals to a hidden World To be tested at fixed target νmsm: 3 in 1 flask (neutrino oscillations, dark matter, baryon asymmetry of the Universe) Light Inflaton Light sgoldstinos Light neutralinos with R-parity violation Para-, Dark, Hidden, Massive photon 4 Summary Dmitry Gorbunov (INR) New physics at GeV scale? , JINR 12 / 48

18 Elusive NP: portals to a hidden World Three Portals to the hidden World Renormalizable interaction including SM field and new (hypothetical) fields singlets with respect to the SM gauge group Attractive feature: couplings are insensitive to energy in c.m.f., hence low energy experiments (intensity frontier) are favorable Scalar portal: SM Higgs doublet H and hidden scalar S the simplest dark matter L scalar portal = β H HS S Spinor portal: SM lepton doublet L, Higgs congugate field H = εh and hidden fermion N sterile neutrino!! L spinor portal = y L HN Vector portal: SM gauge field of U(1) Y and gauge hidden field of abelian group U(1) L vector portal = ε 2 BU(1) Y µν Bµν U(1) Dmitry Gorbunov (INR) New physics at GeV scale? , JINR 13 / 48

19 Outline Elusive NP: portals to a hidden World To be tested at fixed target 1 Where is new physics? 2 Neutrino oscillations: NP is below EW scale 3 Elusive NP: portals to a hidden World To be tested at fixed target νmsm: 3 in 1 flask (neutrino oscillations, dark matter, baryon asymmetry of the Universe) Light Inflaton Light sgoldstinos Light neutralinos with R-parity violation Para-, Dark, Hidden, Massive photon 4 Summary Dmitry Gorbunov (INR) New physics at GeV scale? , JINR 14 / 48

20 Elusive NP: portals to a hidden World To be tested at fixed target The experiment under discussion: a scheme fixed target beam dump vacuum volume protons 400 GeV beam hadrons target l target P T P T L l N l µ π detector Searches for any BSM with Neutral Unstable but Long Lived Particles Lighter than D-meson Dmitry Gorbunov (INR) New physics at GeV scale? , JINR 15 / 48

21 Elusive NP: portals to a hidden World Towards the proposal To be tested at fixed target νmsm: T.Asaka, S.Blanchet, M.Shaposhnikov (2005), T.Asaka, M.Shaposhnikov (2005), direct tests of νmsm: D.G., M.Shaposhnikov (2007) proposal for direct searches, to European Strategy Group, 2012 D.G., M.Shaposhnikov sketch of realistic experiment S.Gninenko, D.G., M.Shaposhnikov (2013) Expression Of Interests: Proposal to Search for Heavy Neutral Leptons at the SPS W. Bonivento,... D.G., et al, Technical Proposal and Physics Paper , included in the CERN GreyBook (2016) institutes from 16 countries Dmitry Gorbunov (INR) New physics at GeV scale? , JINR 16 / 48

22 Elusive NP: portals to a hidden World Physics to be tested To be tested at fixed target weak interactions (neutrino beam scatterings off matter) light, feebly interacting, yet unstable particles: produced (in)directly on target, then decaying in the detector fiducial volume light sgoldstinos (superpartners of goldstino in SUSY models) e.g., D.S. Gorbunov (2001) e.g. D π X, then X l + l R-parity violating neutralinos in SUSY models e.g., A. Dedes, H.K. Dreiner, P. Richardson (2001) e.g. D l χ, then χ l + l ν massive paraphotons (in secluded dark matter models) e.g., M. Pospelov, A. Ritz, M.B. Voloshin (2008) e.g. Σ p V, then V l + l light, fairly weakly interacting, unstable particles: produced in beam dump (rock), right in front of detector, then decaying in the detector fiducial volume sterile neutrinos with transition dipole moments e.g., S.N. Gninenko (2009,2010) ν A N A, then N ν γ as compared to CHARM longer lifetimes and smaller couplings will be accessible Many examples can be found in Physics Paper arxiv: Dmitry Gorbunov (INR) New physics at GeV scale? , JINR 17 / 48

23 Outline Elusive NP: portals to a hidden World νmsm: 3 in 1 flask 1 Where is new physics? 2 Neutrino oscillations: NP is below EW scale 3 Elusive NP: portals to a hidden World To be tested at fixed target νmsm: 3 in 1 flask (neutrino oscillations, dark matter, baryon asymmetry of the Universe) Light Inflaton Light sgoldstinos Light neutralinos with R-parity violation Para-, Dark, Hidden, Massive photon 4 Summary Dmitry Gorbunov (INR) New physics at GeV scale? , JINR 18 / 48

24 Elusive NP: portals to a hidden World νmsm: 3 in 1 flask Possible new physics: Sterile neutrinos Minimal extension of SM to explain neutrino oscillations sterile: new fermions uncharged under the SM gauge group neutrino: explain observed oscillations by mixing with SM (active) neutrinos Attractive features: only 3 Majorana fermions (6 d.o.f.) is enough true renormalizable theory not worth then the SM (e.g. may work up to the Planck scale) baryon asymmetry via leptogenesis through redistribution of the leptonic charge between active and sterile neutrinos and transfering of the lepton asymmetry into baryon asymmetry by electoweak sphalerons dark matter: lightest sterile neutrino (1-50 kev) Dmitry Gorbunov (INR) New physics at GeV scale? , JINR 19 / 48

25 Elusive NP: portals to a hidden World νmsm: 3 in 1 flask mass charge name Quarks Leptons 2.4 MeV ⅔ u up Left Left Left Left I II III 1.27 GeV ⅔ c charm Right Right Right Left 4.8 MeV 104 MeV -⅓ -⅓ d s down strange 0 ν ν e Three Generations of Matter (Fermions) spin ½ electron sterile neutrino neutrino Left Left Left Right Right Right GeV ⅔ t top Left 4.2 GeV -⅓ b bottom Left Left Left Right Right ~GeV ~GeV 0 μ 0ν τ 1 N2 N tau 3 < ev ~10 kev ~0.01 ev ~0.04 ev N muon neutrino sterile neutrino sterile neutrino neutrino MeV MeV GeV e μ τ electron muon tau Right Bosons (Forces) spin g gluon γ photon 91.2 GeV Z 0 0 weak force 80.4 GeV W ± ± 1 weak force H >114 GeV 0 0 Higgs boson spin 0 Dmitry Gorbunov (INR) New physics at GeV scale? , JINR 20 / 48

26 Elusive NP: portals to a hidden World νmsm: 3 in 1 flask Seesaw type I mechanism: M N m active L N = N I i/ N I f αi L α HNI M N I 2 Nc I N I + h.c. where I = 1,2,3 and α = e, µ,τ Ha = ε ab H b When Higgs gains H = v/ 2 we get in neutrino sector V N = v f αi ν α N I + M N I 2 2 Nc I N I + h.c. = 1 ( ν α,n c ) 0 v ˆf 2 I 2 v ˆf ( ν c ) T T α,n I + h.c. ˆMN 2 Then for M N ˆM D = v ˆf 2 we find the eigenvalues: ˆM N and ˆMν = ˆM D 1 ˆM N ˆMT D f 2 v 2 M N M N Mixings: flavor state ν α = U αi ν i + θ αi N I active-active mixing: (PMNS-matrix U) U T ˆM ν U = diag (m 1,m 2,m 3 ) active-sterile mixing: θ αi = M D αi M I ˆf v 1 M N Dmitry Gorbunov (INR) New physics at GeV scale? , JINR 21 / 48

27 Elusive NP: portals to a hidden World νmsm: 3 in 1 flask Sterile neutrino mass scale: ˆMν = v 2ˆf T ˆM 1 N ˆf NB: With fine tuning in ˆM N and ˆf we can get a hierarchy in sterile neutrino masses, and 1 kev and even 1 ev sterile neutrinos L e L µ L τ or discrete symmetries Froggatt-Nielsen mechanism 0.05 ev 1 TeV GeV Extended seesaw neutrino masses are too large strong coupling neutrino masses are too small Yukawa coupling Majorana mass, GeV LSND ν MSM LHC GUT see saw Seesaw diagram Dmitry Gorbunov (INR) New physics at GeV scale? , JINR 22 / 48

28 Elusive NP: portals to a hidden World νmsm: 3 in 1 flask Sterile neutrinos: production and decays Ds ν µ µ ν µ N 2,3 µ <H> N 2,3 <H> π D ν µ <H> µ π N 2,3 N 2,3 <H> ν µ µ ν e e Dmitry Gorbunov (INR) New physics at GeV scale? , JINR 23 / 48

29 Elusive NP: portals to a hidden World νmsm: 3 in 1 flask Probing leptogenesis SHIP upgrading to Aerocarrier to explore the entire region D.G, M.Shaposhnikov (2007) lower bound at 10 4 Br(D ln) Br(D s ln) Br(D KlN) Br(D s ηln) Br(D K ln) Br(B DlN) Br(B D ln) Br(B s D sln) For PoT at 400 GeV (SPS) detectors have to cover l 3 km D.G., M.Shaposhnikov (2012) beam hadrons target l target P T P T L l N l µ π detector τ, s BBN PS See-saw CHARM, BEBC, BAU NuTeV M 2 Dmitry Gorbunov (INR) New physics at GeV scale? , JINR 24 / 48

30 Elusive NP: portals to a hidden World νmsm: 3 in 1 flask Probing leptogenesis SHIP upgrading to Aerocarrier to explore the entire region D.G, M.Shaposhnikov (2007) lower bound at 10 4 Br(D ln) Br(D s ln) Br(D KlN) Br(D s ηln) Br(D K ln) Br(B DlN) Br(B D ln) Br(B s D sln) For PoT at 400 GeV (SPS) detectors have to cover l 3 km D.G., M.Shaposhnikov (2012) beam hadrons target l target P T P T L l N l µ π detector τ, s BBN PS See-saw CHARM, BEBC, BAU NuTeV M 2 Dmitry Gorbunov (INR) New physics at GeV scale? , JINR 24 / 48

31 Elusive NP: portals to a hidden World νmsm: 3 in 1 flask Present status; σ θ 2, Γ θ 2 M 5 N LBNE Collab (2011) Dmitry Gorbunov (INR) New physics at GeV scale? , JINR 25 / 48

32 Elusive NP: portals to a hidden World νmsm: 3 in 1 flask Lowest mixing to falsify Seesaw type I D.G., A.Panin (2013) U 1µ 2 + U 2µ 2 M 2 (GeV) 8e-11 7e-11 6e-11 5e-11 4e-11 3e-11 2e-11 1e νmsm 0 ev ev 0.01 ev 0.02 ev 0 0 5e-12 1e e-11 2e-11 U 1e 2 + U 2e 2 0 ev ev 0.01 ev 0.02 ev M 1 (GeV) U 1µ 2 + U 2µ 2 M 2 (GeV) 1e-10 8e-11 6e-11 4e-11 2e νmsm 0 ev 0.01 ev 0.02 ev 0.05 ev 0 0 2e-11 4e-11 6e-11 8e-11 1e e-10 U 1e 2 + U 2e 2 0 ev 0.01 ev 0.02 ev 0.05 ev M 1 (GeV) Dmitry Gorbunov (INR) New physics at GeV scale? , JINR 26 / 48

33 Elusive NP: portals to a hidden World νmsm: 3 in 1 flask Lightest sterile neutrino N 1 as Dark Matter Non-resonant production (active-sterile mixing) is ruled out D.G., A.Khmelnitsky, V.Rubakov (2008) Resonant production (lepton asymmetry) requires M 2, GeV arxiv: , , sin 2 (2θ 1 ) Phase-space density constraints Ω N1 > Ω DM NRP Ω N1 < Ω DM L 6 =25 L 6 =70 L 6 max =700 BBN limit: L 6 BBN = 2500 X-ray constraints M 1 [kev] Dark Matter production from inflaton decays in plasma at T m χ M.Shaposhnikov, I.Tkachev (2006) M NI Nc I N I f I X N I N I Can be naturally Warm F.Bezrukov, D.G. (2009) ( ) mχ M 1 15 kev 300 MeV Dmitry Gorbunov (INR) New physics at GeV scale? , JINR 27 / 48

34 Outline Elusive NP: portals to a hidden World Light Inflaton 1 Where is new physics? 2 Neutrino oscillations: NP is below EW scale 3 Elusive NP: portals to a hidden World To be tested at fixed target νmsm: 3 in 1 flask (neutrino oscillations, dark matter, baryon asymmetry of the Universe) Light Inflaton Light sgoldstinos Light neutralinos with R-parity violation Para-, Dark, Hidden, Massive photon 4 Summary Dmitry Gorbunov (INR) New physics at GeV scale? , JINR 28 / 48

35 Elusive NP: portals to a hidden World Light Inflaton Inflation & Reheating: the model L XN = 1 2 µx µ X m2 X X 2 β 4 X 4 λ (H H α λ X 2) 2 The SM-like vacuum of the scalar potential 2α v = βλ m X = 246 GeV, m h = β 2λ v, m χ = m h 2α Higgs-inflaton (h χ) mixing angle ( ) 2α 2β v 100 MeV θ = λ = 10 3 m χ Amplitude of primordial perturbations: β F.Bezrukov, D.G. (2009) Only one free parameter! 30 MeV m χ 1.8 GeV study of reheating: T reh > 100 GeV, m h < 190 GeV A.Anisimov, Y.Bartocci, F. Bezrukov (2008) m χ Landau pole above inflation scale Dmitry Gorbunov (INR) New physics at GeV scale? , JINR 29 / 48

36 Elusive NP: portals to a hidden World Light Inflaton Phenomenlogy: Higgs-inflaton mixing! τ χ, s e-05 1e-06 1e-07 1e-08 1e-09 1e-10 Br(K->πχ) 1e-06 1e-07 1e-08 1e-09 1e-10 K + E949 K + E787 K + expected K L expected 1e m χ, GeV 1e m χ, GeV Branching e + e - ππ cc τ + τ KK µ + µ gg ss γγ µ + µ m χ, GeV β 1e-08 1e-10 CHARM 1e-12 β 0 1e-14 1e m χ, GeV m χ 250 MeV is already excluded! from K π χ and pn... χ(χ µ + µ ) Dmitry Gorbunov (INR) New physics at GeV scale? , JINR 30 / 48

37 Elusive NP: portals to a hidden World Light Inflaton Inflaton Phenomenlogy: direct searches V ts Vtb Br(B χx s ) 0.3 V cb 2 ( ( mt 1 m2 χ m 2 b ) 4 ( ) 2 θ 2 1 m2 χ M W mb 2 ) 2 (300 ) MeV 2, m χ Recent sensitivity: Br(B K ( ) l + l ) 10 7 Expectation for the Inflaton: scalar channel displaced decay vertex peaks at a given energy for Belle 250 MeV m χ 1.8 GeV B K χ c τ χ 3 30 cm µ + µ, π + π, K + K This INFLATIONARY model can be directly and fully explored thanks to B-physics! Dmitry Gorbunov (INR) New physics at GeV scale? , JINR 31 / 48

38 Elusive NP: portals to a hidden World LHCb results, NA62 is next Light Inflaton 2 θ 10-4 Theory CHARM LHCb Theory LHCb Collab., m(µ + µ ) [MeV] Dmitry Gorbunov (INR) New physics at GeV scale? , JINR 32 / 48

39 Outline Elusive NP: portals to a hidden World Light sgoldstinos 1 Where is new physics? 2 Neutrino oscillations: NP is below EW scale 3 Elusive NP: portals to a hidden World To be tested at fixed target νmsm: 3 in 1 flask (neutrino oscillations, dark matter, baryon asymmetry of the Universe) Light Inflaton Light sgoldstinos Light neutralinos with R-parity violation Para-, Dark, Hidden, Massive photon 4 Summary Dmitry Gorbunov (INR) New physics at GeV scale? , JINR 33 / 48

40 Elusive NP: portals to a hidden World Light sgoldstinos Light sgoldstinos in SUSY models SUSY is spontaneously broken (no scalar electron with mass of 510 kev!! ) breaking of SU(2) W U(1) Y by the H = v Goldstones bosons couple to all massive fields (Goldberger Treiman formula like for pion) L = 1 v J µ SU(2) W U(1) Y µ H Higgs mechanism: three modes of H are eaten giving masses to Z, W ± breaking of SUSY by F ϕ = F Goldstone fermion: goldstino L ψ 1 F J µ SUSY µψ Super-Higgs mechanism: goldstino is eaten giving mass to gravitino ψ goldstino SUGRA longitudinal gravitino Physics of Goldstino supermultiplet: (boson ϕ (sgoldstino), fermion ψ (goldstino)) SUSY F F ϕ 0 Φ = ϕ + 2θψ + F ϕ θθ ( 2 1 ϕ + ϕ ) S scalar sgoldstino: L S,P M soft F F (SUSY scale) 2 1 ( i ϕ ϕ ) P pseudoscalar 2 M soft : MSSM soft terms superpartner masses and trilinear couplings, gauginos: M λ λλ M λ F SF µν F µν, M λ F PF µν µν F squarks, sleptons: A ij h u q i ũ j A ij F Sh uq i u j, massless at tree level naturally may be light... A ij F Ph uq i u j Dmitry Gorbunov (INR) New physics at GeV scale? , JINR 34 / 48

41 Elusive NP: portals to a hidden World Light sgoldstinos Light sgoldstinos at the new fixed-target Why is it interesting? allows to probe the scale of SUSY breaking R-even, hence single production and decay into SM particles responsible (?) for HyperCP anomaly in Σ pµ + µ : m P = MeV hep-ph/ mixing with neutral Higgs bosons , , Phenomenology is defined by MSSM soft terms and scale of SUSY breaking sgoldstinos produced in hep-ph/ : tested at Belle ( ) heavy meson decays : tested at LHCb ( ) At the beam-dump experiment Sgoldstino production and lifetime are naturally dominated by gluons produced in D-meson decays fly for several kilometers and then decay K.Astapov, D.G. (2015) σ pp S (P)/σpp,total σ pp S (P)/σpp,total m S (P), GeV m S (P), GeV Dmitry Gorbunov F = 1000(INR) TeV F = 100 TeVNew physics at GeV scale? Gluon fusion , B meson JINRdecays35 / 48

42 Elusive NP: portals to a hidden World Light sgoldstinos Scalar and Pseudoscalar Sgoldstinos K.Astapov, D.G. (2015) Br P Br S m S, GeV γγ e + e - μ + μ - ππ KK m P, GeV γγ e + e - μ + μ - 3π 0 π 0 ηη π 0 π + π - π 0 KK 3η 2π 0 η ηkk 0.1 τ, sec m S, GeV τ, sec m P, GeV F = 1000 TeV F = 100 TeV F = 1000 TeV F = 100 TeV Dmitry Gorbunov (INR) New physics at GeV scale? , JINR 36 / 48

43 Elusive NP: portals to a hidden World Light sgoldstinos Flavor conserving couplings K.Astapov, D.G. (2015) F -1/2, (100 TeV) F -1/2, (100 TeV) m S, GeV m P, GeV Dmitry Gorbunov (INR) New physics at GeV scale? , JINR 37 / 48

44 Elusive NP: portals to a hidden World Flavor violating couplings 1 K.Astapov, D.G. (2015) F -1/2, (100 TeV) -1 F -1/2, (100 TeV) -1 Light sgoldstinos mp, GeV F -1/2, (100 TeV) -1 F -1/2, (100 TeV) -1 ms, GeV ms, GeV Dmitry Gorbunov (INR) New physics at GeV scale? 3 mp, GeV , JINR 38 / 48

45 Outline Elusive NP: portals to a hidden World Light neutralinos with R-parity violation 1 Where is new physics? 2 Neutrino oscillations: NP is below EW scale 3 Elusive NP: portals to a hidden World To be tested at fixed target νmsm: 3 in 1 flask (neutrino oscillations, dark matter, baryon asymmetry of the Universe) Light Inflaton Light sgoldstinos Light neutralinos with R-parity violation Para-, Dark, Hidden, Massive photon 4 Summary Dmitry Gorbunov (INR) New physics at GeV scale? , JINR 39 / 48

46 Elusive NP: portals to a hidden World Light neutralinos with R-parity violation R-parity violating neutralinos in SUSY models Superpotential (SUSY-invariant part) gives Yukawa-like couplings for SM fermions W R/ = λ ijk L a i ε abl b j Ē k + λ ijk La i ε abq b j D k + λ ijk Ūα i ε αβγ Dβ j D γ k Yet the proton is stable if λ = 0 (baryon parity), or λ,λ = 0 (lepton parity) and proton is lighter than LSP: R p = ( 1) (3B+L+2S) But LSP is unstable in these models, so no problems with overproduction (but we need another candidate to be dark matter... ) Nevertheless cosmology and astrophysics exclude BBN: 0.1s < τ LSP cosmic γ-rays (FERMI): τ LSP < yr hence, the excluded range is < (λ,λ,λ ) < Direct searches at LHC (and TeVatron) probe: (λ,λ,λ ) > 10 6 otherwise LSP decays outside ATLAS and CMS Dmitry Gorbunov (INR) New physics at GeV scale? , JINR 40 / 48

47 Elusive NP: portals to a hidden World Light neutralinos with R-parity violation R-parity violating neutralinos at the fixed-target < (λ,λ,λ ) < 10 6 production in meson decays: probed by BaBar, Belle B ± l ± χ 0, B 0 ν χ 0 A.Dedes, H.Dreiner, P.Richardson (2009) R-violating D ± l ± χ 0, D 0 ν χ 0 D.G., I.Timiryasov (2015) neutralinos decay into SM particles, e.g. χ 0 l + l ν (solid) H.Dreiner, P.Richardson, M.Seymour (1999) R-violating χ 0 l ± K (dotted) SHiP s Physics Paper (2015) χ 0 νk 0, χ 0 l ± π, (dashed) χ 0 νπ 0, D.G., I.Timiryasov (2015) λ 0 was discussed after NuTeV dimuon events hep-ex/ , hep-ph/ D 0 ν i χ 1 0 ; M χ 0 1 GeV 1 B 0 ν i χ 1 0 ; M χ 0 4 GeV λ λ / λ λ / - Dmitry Gorbunov (INR) New physics at GeV scale? , JINR 41 / 48

48 Elusive NP: portals to a hidden World Light neutralinos with R-parity violation SHiP sensitivity to LPV neutralinos D.G., I.Timiryasov (2015) D 0 0 ν i χ 1 - D + μ + 0 χ 1 λ λ χ - χ B 0 0 ν i χ 1 - B + μ + 0 χ 1 λ λ χ - χ Dmitry Gorbunov (INR) New physics at GeV scale? , JINR 42 / 48

49 Elusive NP: portals to a hidden World Light neutralinos with R-parity violation SHiP sensitivity vs CHARM (dotted) D.G., I.Timiryasov (2015) λ λ λ λ λ λ λ λ Dmitry Gorbunov (INR) New physics at GeV scale? , JINR 43 / 48

50 Outline Elusive NP: portals to a hidden World Para-, Dark, Hidden, Massive photon 1 Where is new physics? 2 Neutrino oscillations: NP is below EW scale 3 Elusive NP: portals to a hidden World To be tested at fixed target νmsm: 3 in 1 flask (neutrino oscillations, dark matter, baryon asymmetry of the Universe) Light Inflaton Light sgoldstinos Light neutralinos with R-parity violation Para-, Dark, Hidden, Massive photon 4 Summary Dmitry Gorbunov (INR) New physics at GeV scale? , JINR 44 / 48

51 Elusive NP: portals to a hidden World Massive vectors (paraphotons) Para-, Dark, Hidden, Massive photon Vector portal to a secluded sector: e.g. with Dark matter Ψ one more U(1) gauge group [spontaneously broken] in secluded sector: mixing with U(1) Y is naturally expected and unsuppressed by high energy scale L DM+mediator = Ψ (iγ µ µ e γ µ A µ m Ψ )Ψ 1 4 A µν A µν + m2 γ 2 A µa µ + εa µ ν B µν when m Ψ > m γ 1 GeV Cosmology: Limits from BBN: ( ) τ V < 1s, = ε 2 mγ GeV For DM particles to be in thermal equilibrium in primordial plasma: ( ) ε 2 mγ ( m ) 2 Ψ 1GeV 500GeV Production by virtual photon σ ε 2 Decay through virtual photon, Γ ε 2 V e + e, µ + µ, etc Ε NOMAD & PS191 KLOE WASA BaBar HADES E774 APEX A1 E137 SINDRUM E141 Ν-Cal I Π 0 KEK Orsay a e a Μ Ν-Cal I p Brems strahlung CHARM m Γ' GeV Dmitry Gorbunov (INR) New physics at GeV scale? , JINR 45 / 48

52 Br Br Elusive NP: portals to a hidden World Para-, Dark, Hidden, Massive photon Paraphotons: improvement of CHARM L DM+mediator = Ψ (iγ µ µ e γ µ A µ m Ψ )Ψ 1 4 A µν A µν + m2 γ 2 A µa µ + εa µ ν B µν when m Ψ > m γ 1 GeV 1.0 e + e e + e - μ + μ - μ + μ hadrons 0.8 hadrons m A', GeV m A', GeV ϵ=10-8 ϵ=10-7 l, m 1000 ϵ= m,gev D.G., A.Makarov, I.Timiryasov (2014) Dmitry Gorbunov (INR) New physics at GeV scale? , JINR 46 / 48

53 Outline Summary 1 Where is new physics? 2 Neutrino oscillations: NP is below EW scale 3 Elusive NP: portals to a hidden World To be tested at fixed target νmsm: 3 in 1 flask (neutrino oscillations, dark matter, baryon asymmetry of the Universe) Light Inflaton Light sgoldstinos Light neutralinos with R-parity violation Para-, Dark, Hidden, Massive photon 4 Summary Dmitry Gorbunov (INR) New physics at GeV scale? , JINR 47 / 48

54 Summary Summary Much more models in SHiP Physics Paper Still more to come... DUNE setup... ν τ -detector at SHiP... Dmitry Gorbunov (INR) New physics at GeV scale? , JINR 48 / 48

55 Dmitry Gorbunov (INR) New physics at GeV scale? , JINR 49 / 48

56 Backup slides Dmitry Gorbunov (INR) New physics at GeV scale? , JINR 50 / 48

57 Leptogenesis in scheme: 0ν2β decay region 5 m eff [10-2 ev] M N [MeV] Inverse hierarchy Dmitry Gorbunov (INR) New physics at GeV scale? , JINR 51 / 48

58 Present limits : 1) 0νββ-bound is stronger by 10, ) limits from LHCb and CMS NA3 187 Re 10-2 CHARM II V e H 63 Ni 35 S 20 F Fermi 2 Bugey Borexino V µ FMMF BEBC L3 DELPHI νββ π --> e ν K --> µ ν PS 191 NuTeV m 4 (GeV) m 4 (GeV) NA K --> e ν 10-1 NOMAD V e PS 191 π --> e ν CHARM L3 DELPHI 0νββ V τ Based on CHARM DELPHI m 4 (GeV) m 4 (GeV) Dmitry Gorbunov (INR) New physics at GeV scale? , JINR 52 / 48

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