CP violation searches with Neutrino Factories and Beta Beams Neutrinos in Particle, in Nuclear and in Astrophysics Trento, Italy November 20, 2008 Walter Winter Universität Würzburg TexPoint fonts used in EMF: AAAAA A A A

2 Contents  Motivation from theory  CPV Phenomenology  CP precision measurement  CPV from non-standard physics  Summary

Motivation from theory

4 Where does CPV enter?  Example: Type I seesaw (heavy SM singlets N c ) Charged lepton mass terms Eff. neutrino mass terms Block-diag. CC Primary source of CPV (depends BSM theory) Effective source of CPV (only sectorial origin relevant) Observable CPV (completely model-indep.) Could also be type-II, III seesaw, radiative generation of neutrino mass, etc.

5  From the measurement point of view: It makes sense to discuss only observable CPV (because anything else is model-dependent!)  At high E (type I-seesaw): 9 (M R )+18 (M D )+18 (M l ) = 45 parameters  At low E: 6 (masses) + 3 (mixing angles) + 3 (phases) = 12 parameters Connection to measurement There is no specific connection between low- and high-E CPV! But: that‘s not true for special (restrictive) assumptions! CPV in 0  decay LBL accessible CPV:  If  U PMNS real  CP conserved Extremely difficult! (Pascoli, Petcov, Rodejohann, hep-ph/ )

6 Why is CPV interesting?  Leptogenesis: CPV from N c decays  If special assumptions (such as hier. M R, NH light neutrinos, …) it is possible that  CP is the only source of CPV for leptogensis! (N c ) i ~ M D (in basis where M l and M R diagonal) (Pascoli, Petcov, Riotto, hep-ph/ ) Different curves: different assumptions for  13, …

7 How well do we need to measure?  We need generic arguments Example: Parameter space scan for eff. 3x3 case (QLC-type assumptions, arbitrary phases, arbitrary M l ) The QLC-type assumptions lead to deviations O(  C ) ~ 13   Can also be seen in sum rules for certain assumptions, such as (  : model parameter)  This talk: Want Cabibbo-angle order precision for  CP ! (Niehage, Winter, arXiv: ) (arXiv: )

CPV phenomenology

9 Terminology  Any value of  CP (except for 0 and  ) violates CP  Sensitivity to CPV: Exclude CP-conserving solutions 0 and  for any choice of the other oscillation parameters in their allowed ranges

10 Measurement of CPV (Cervera et al. 2000; Freund, Huber, Lindner, 2000; Huber, Winter, 2003; Akhmedov et al, 2004)  Antineutrinos:  Magic baseline:  Silver:  Platinum, Superb.:

11 Degeneracies  CP asymmetry (vacuum) suggests the use of neutrinos and antineutrinos Burguet-Castell et al, 2001)  One discrete deg. remains in (  13,  )-plane (Burguet-Castell et al, 2001)  Additional degeneracies: (Barger, Marfatia, Whisnant, 2001)  Sign-degeneracy (Minakata, Nunokawa, 2001)  Octant degeneracy (Fogli, Lisi, 1996) Best-fit Antineutrinos Iso-probability curves Neutrinos

12 Intrinsic vs. extrinsic CPV  The dilemma: Strong matter effects (high E, long L), but Earth matter violates CP  Intrinsic CPV (  CP ) has to be disentangled from extrinsic CPV (from matter effects)  Example:  -transit Fake sign-solution crosses CP conserving solution  Typical ways out:  T-inverted channel? (e.g. beta beam+superbeam, platinum channel at NF, NF+SB)  Second (magic) baseline (Huber, Lindner, Winter, hep-ph/ ) NuFact, L=3000 km Fit True  CP (violates CP maximally) Degeneracy above 2  (excluded) True Critical range

13 CPV discovery reach … in (true) sin 2 2  13 and  CP Sensitive region as a function of true  13 and  CP  CP values now stacked for each  13 Read: If sin 2 2  13 =10 -3, we expect a discovery for 80% of all values of  CP No CPV discovery if  CP too close to 0 or  No CPV discovery for all values of  CP 33 Cabibbo-angle precision for  CP ~ 85%! Fraction 80% (3  ) corresponds to Cabibbo-angle precision at 2  BENCHMARK! Best performance close to max. CPV (  CP =  /2 or 3  /2)

14 CPV as a fct. of  13  General structure: Signal  Even without systematics (NC, mis-ID, …):  For sin 2 2  13 <<  2 ~  Lose sensitivity with sin 2  13  For sin 2 2  13 >~  2 ~  Sensitivity almost constant over wide range of  13

15  Small  13 : Optimize discovery reach in  13 direction  Large  13 : Optimize discovery reach in (true)  CP direction  What defines “small” vs “large  13 ”? A Double Chooz, Day Bay, T2K, … discovery? Optimization for CPV Optimization for small  13 Optimization for large  13

16 Large  13 strategy  Assume e.g. that Double Chooz discovers  13  Minimum wish list easy to define:  5  independent confirmation of  13 > 0  3  mass hierarchy determination for any (true)  CP  3  CP violation determination for 80% (true)  CP (~ 2  sensitvity to a Cabibbo angle-size CP violation) For any (true)  13 in 90% CL D-Chooz allowed range!  What is the minimal effort (minimal cost) for that?  NB: Such a minimum wish list is non-trivial for small  13 (arXiv: Sim. from hep-ph/ ; 1.5 yr far det yr both det.) (arXiv: ; Sim. from hep-ph/ ; 1.5 yr far det yr both det.)

17 More recent modifications:  Higher  (Burguet-Castell et al, hep-ph/ )  Different isotope pairs leading to higher neutrino energies (same  ) Beta beam concept … originally proposed for CERN ( )  Key figure (any beta beam): Useful ion decays/year?  Often used “standard values”: He decays/year Ne decays/year  Typical  ~ 100 – 150 (for CERN SPS) (CERN layout; Bouchez, Lindroos, Mezzetto, 2003; Lindroos, 2003; Mezzetto, 2003; Autin et al, 2003) (Zucchelli, 2002) (C. Rubbia, et al, 2006)

18 Example: Minimal beta beam  Minimal effort =  One baseline only  Minimal   Minimal luminosity  Any L (green-field!)  Example: Optimize L-  for fixed Lumi:  CPV constrains minimal    as large as 350 may not even be necessary! (see hep-ph/ )  CERN-SPS good enough? (arXiv: ) Sensitivity for entire Double Chooz allowed range! 5yr x Ne and 5yr x He useful decays

19 Example: low-E NuFact  A low-E NuFact performs similarly  Combination with platinum channel or superbeam may help (from: Huber, Winter, arXiv: ; also: Geer, Mena, Pascoli, hep-ph/ ; Bross et al, arXiv: ) Benchmark: 80% 33

20  Assume that Double Chooz … do not find  13  Example: Beta beam in  13 -direction (for max. CPV)  „Minimal effort“ is a matter of cost! Small  13 strategy Example: Beta beams (Huber et al, hep-ph/ )(Agarwalla et al, arXiv: ) 50 kt MID L=400 km LSF ~ 2 (LSF)

21 Neutrino factory: International design study IDS-NF:  Initiative from ~ to present a design report, schedule, cost estimate, risk assessment for a neutrino factory  In Europe: Close connection to „Euro us“ proposal within the FP 07  In the US: „Muon collider task force“ ISS (Geer, 1997; de Rujula, Gavela, Hernandez, 1998; Cervera et al, 2000) Signal prop. sin 2 2  13 Contamination Muons decay in straight sections of a storage ring

22 IDS-NF baseline setup 1.0  Two decay rings  E  =25 GeV  5x10 20 useful muon decays per baseline (both polarities!)  Two baselines: ~ km  Two MIND, 50kt each  Currently: MECC at shorter baseline (

23 CPV physics potential 33  Excellent  13, MH, CPV discovery reaches (IDS-NF, 2007)  Robust optimum for ~ km  Optimization even robust under non-standard physics (dashed curves) (Kopp, Ota, Winter, arXiv: )

24 Experiment comparison  The sensitivities are expected to lie somewhere between the limiting curves  Example: IDS- NF baseline (~ dashed curve) (ISS physics WG report, arXiv: , Fig. 105)

CP precision measurement

26  Theoretical example Large mixings from CL and sectors? Example:  23 l =  12  =  /4, perturbations from CL sector (can be connected with textures) (Niehage, Winter, arXiv: )  The value of  CP is interesting (even if there is no CPV)  Phenomenological example Staging scenarios: Build one baseline first, and then decide depending on the outcome  Is  CP in the „good“ (0 <  CP <  ) or „evil“ (  <  CP < 2  ) range? (signal for neutrinos ~ +sin  CP ) Why is that interesting?  12 l dominates  13 l dominates  12 ~  /4 +  13 cos  CP  12 ~  /4 –  13 cos  CP   13 > 0.1,  CP ~    13 > 0.1,  CP ~   23 ~  /4 – (  13 ) 2 /2  23 ~  /4 + (  13 ) 2 /2  CP and octant discriminate these examples!

27 Performance indicator: CP coverage  Problem:  CP is a phase (cyclic)  Define CP coverage (CPC): Allowed range for  CP which fits a chosen true value  Depends on true  13 and true  CP  Range: 0 < CPC <= 360   Small CPC limit: Precision of  CP  Large CPC limit: 360  - CPC is excluded range

28 CP pattern  Performance as a function of  CP (true)  Example: Staging. If km baseline operates first, one can use this information to determine if a second baseline is needed (Huber, Lindner, Winter, hep-ph/ ) Exclusion limitPrecision limit

CPV from non-standard physics?

30 ~ current bound CPV from non-standard interactions  Example: non-standard interactions (NSI) in matter from effective four-fermion interactions:  Discovery potential for NSI-CPV in neutrino propagation at the NF Even if there is no CPV in standard oscillations, we may find CPV! But what are the requirements for a model to predict such large NSI? (arXiv: ) 33 IDS-NF baseline 1.0

31 CPV discovery for large NSI  If both  13 and |  e  m | large, the change to discover any CPV will be even larger: For > 95% of arbitrary choices of the phases  NB: NSI-CPV can also affect the production/detection of neutrinos (Gonzalez-Garcia et al, hep-ph/ ; Fernandez-Martinez et al, hep-ph/ ; Altarelli, Meloni, ) (arXiv: ) IDS-NF baseline 1.0

32  Effective operator picture: Describes additions to the SM in a gauge-inv. way!  Example: NSI for TeV-scale new physics d=6: ~ (100 GeV/1 TeV) 2 ~ compared to the SM d=8: ~ (100 GeV/1 TeV) 4 ~ compared to the SM  Current bounds, such as from CLFV: one cannot construct large (= observable) leptonic matter NSI with d=6 operators (except for   m, maybe) (Bergmann, Grossman, Pierce, hep-ph/ ; Antusch, Baumann, Fernandez-Martinez, arXiv: ; Gavela, Hernandez, Ota, Winter,arXiv: )  Need d=8 effective operators!  Finding a model with large NSI is not trivial! Models for large NSI? mass d=6, 8, 10,...: NSI

33 Systematic analysis for d=8  Decompose all d=8 leptonic operators systematically  The bounds on individual operators from non- unitarity, EWPD, etc are very strong! (Antusch, Baumann, Fernandez-Martinez, arXiv: )  Need at least two mediator fields plus a number of cancellation conditions (Gavela, Hernandez, Ota, Winter, arXiv: ) Basis (Berezhiani, Rossi, 2001) Combine different basis elements C 1 LEH, C 3 LEH Cancel d=8 CLFV But these mediators cause d=6 effects  Additional cancellation condition (Buchmüller/Wyler – basis) Avoid CLFV at d=8: C 1 LEH =C 3 LEH Feynman diagrams

34 Summary  The Dirac phase  CP is probably the only realistically observable CP phase in the lepton sector  Maybe the only observable CPV evidence for leptogenesis  This and  1,  2 : the only completely model-inpendent parameterization of CPV  What precision do we want for it? Cabibbo-angle precision?  Relates to fraction of „  CP “ ~ 80-85%  The perspectives for a measurement are best if  13 is not too small and not too large  For a BB or NF, the experiment optimization/choice depends on  13 large or small  Other interesting aspects in connection with CPV: CP precision measurement, NSI-CPV

Backup

36 Minimal beta beam at the CERN-SPS? (  fixed to maximum at SPS) (arXiv: )

37 Appearance rates NF Golden-SB appearance-NF Platinum  E p chosen such that SB peaks at lower E  Platinum peaks at higher E (spectrum!) (Huber, Winter, 2007) useful muon decays Golden E  =5 GeV L=1250 km

38 Low-E Nufact optimization  Geer et al. choices are sufficiently close to optimum  NF-SB synergistic, better performance than NF alone  Our choices : L = 900 km, E  = 5 GeV and L=1250 km, E  =5 GeV (given the low energy ~ minimum effort constraint) CP fraction for discovery (3  ), sin 2 2  13 =0.1 (Huber, Winter, 2007) Double luminosity!

39

40 (Mats Lindroos)

41 (Mats Lindroos)