MORIOND ELECTROWEAK & UNIFIED THEORIES 2016 — EXPERIMENTAL SUMMARY —
Andreas Hoecker
CERN, CH-1211 Geneva 23, Switzerland
Summary of the experimental results presented at the 51st edition of the Moriond Electroweak and Unified Theories conference held in March 2016 at La Thuile, Italy.
1 Introduction
The 51st Moriond Electroweak and Unified Theories conference featured, as is tradition, a vi- brant snapshot of newest results and trends in the fields of neutrino physics, astrophysics and cosmology, gravitational waves (!), dark matter and collider physics (it became the promised LHC feast). There were 53 beautifully prepared talks in addition to young scientist presenta- tions reporting a wealth of new experimental results that demonstrated once again that our field lives in data-driven times. The following is an attempt for a (necessarily incomplete) summary of the results presented.
2 Neutrino Physics
The year 2015 has seen yet another Nobel Price for particle physics, and another one for neutrino oscillation. It was awarded jointly to Takaaki Kajita and Arthur B. McDonald from the Super- Kamiokande and Sudbury Neutrino Observatory experiments, respectively, “for the discovery of arXiv:1605.06042v1 [hep-ex] 19 May 2016 neutrino oscillations, which shows that neutrinos have mass”.1
Since these dramatic developments at the turn of the millennium neutrino physics has come a long way. Beyond the established facts that neutrinos are massive fermions with three active flavours and mass eigenstates that are mixed flavour states, there are, however, yet critical questions.
– What is the nature of the neutrinos, are they Majorana fermions?
2 – While the absolute mass splitting, ∆mij, and mixing angles, θ12, θ13, θ23, are known to about 3% and 3–7%, respectively, the mass hierachy is not. By convention normal hierarchy is dubbed the case where m2 m2 > m2 and inverted hierarchy stands for 3 2 1 m2 > m2 m2. 2 1 3
1 – CP violation in the neutrino sector, described by the phase δCP for flavour-changing tran- sitions in the Pontecorvo-Maki-Nakagawa-Sakata (PMNS) neutrino mixing matrix, is un- known so far. – Are there sterile neutrinos, i.e., neutrinos that interact only with gravity but are singlets with respect to the Standard Model interactions? Are there heavy additional right-handed neutrinos? If so, are they in reach of current experiments? And also: neutrino cross section and flux measurements and their theoretical predictions need to be improved. The experimental tools to get handles on these questions are neutrino oscillation measurements (short and long baseline), single beta decay measurements, searches for neutrinoless double-beta decay, and cosmology.a Neutrinos also serve as messengers in astronomy, Sun and Geo science, as well as for phenomena such as grand unification, lepto/baryogenesis and physics beyond the Standard Model. Given the amount and importance of the open questions, and the variety of the available tools, neutrino physics benefits from an exciting experimental programme.
2.1 Results from short-baseline neutrino experiments
Low-energy scattering interactions of electron neutrinos or antineutrinos with matter has been a longstanding source of uncertainty. Apart from the controversial LSND result,4 there was the 2013 electron-neutrino appearance measurement by the MiniBooNE experiment at Fermi- lab that revealed in both neutrino and antineutrino beam modes5 an excess of events in the 0.2–0.4 GeV electron-neutrino energy range over the expectation, which is composed of (in order of importance) π0 misidentification, ∆ Nγ, muon and kaon decays, and other back- → ground sources. The excess appears electron-like in MiniBooNE’s Cherenkov detector, which cannot separate the signal from photon backgrounds. It is therefore important to have precise alternative low-energy cross-section measurements. This is the task of the new MicroBooNE experiment at Fermilab that is installed 500 m from the Booster Neutrino Beamline (BNB) ∼ (anti)muon-neutrino beam, and is dedicated to low-energy neutrino cross sections measurements of (anti)electron appearance.3 Because the LAr-TPC tracking-calorimeter technique is similar to that of the future large-scale DUNE (LBNF) neutrino experiment, featuring a kiloton of such a detector, MicroBooNE also represents a pilot project of that experiment. In a LAr-TPC a charged particle interacts with the liquid argon, wire planes detect drifting ionisation electrons ( tracks), photomultipliers detect scintillation light, and dE/dx is used to separate between → electrons and photons. Very first and promising commissioning results from October 2015 with muon-neutrino beam scattering reactions in MicroBooNE’s 170 ton LAr-TPC were presented at this conference. The MINERvA experiment at Fermilab performs detailed studies of neutrino interactions in varying nuclear targets (C, Pb, Fe, H2O) with the aim to help improve the modelling of these processes.6 For example, electron-neutrino quasi-elastic charged-current (CCQE) scattering is an oscillation signal, but only little low-energy cross-section data are available. Can the νµ νe → cross-section measurements be universally trusted? MINERvA sits on-axis at a short baseline along the NuMI (Neutrinos at the Main Injector) muon-neutrino beam, approximately 1 km after the NuMI target. During the low-energy NuMI running the beam peaks at 3.1 GeV muon- neutrino energy. The MINERvA detector features charged particle as well as electromagnetic and hadronic energy reconstruction, particle identification, and it uses the MINOS near detector as muon spectrometer. The exclusive measurement of flux-integrated differential cross sections + for νe and νe CCQE-like interactions (νen e p and νep e n) on nucleons in a hydrocarbon → − → a 2 The combination of Lyman-α, CMB and BAO data allows to set the upper limit mµ < 0.12 eV. P 2 Far Over Near Ratio
New analysis technique to 2 probe many magnitudes of Δm 41 0 1 2 3 4 5 10 15 20 30 40 0.8 MINOS Preliminary 0.8 2 -3 2 ∆m32 = 2.37 x10 eV Direct fit to F/N ratio sin2(θ ) = 0.41 0.6 23 0.6
for CC and NC events ) 2 -5 2 ∆m21 = 7.54 x10 eV -3 2 sin (θ13) = 0.022 0.4 0.4 Assume 3+1 sterile model 0.2 CC selection 0.2
0 1 2 3 4 5 10 15 20 30 40 Set δ13, δ14, δ24 and θ14 to zero 0.50 1 2 3 4 5 10 15 20 30 400.5 MINOS data
0.4 Three-flavour simulation 0.4 Systematic uncertainty we assume no νe -> νs
Far / Near Ratio (x10 0.3 0.3
0.2 0.2 Parameters fit are: 2 2 0.1 0.1 Δm 32, Δm 41, θ24, θ23, and θ34 NC selection 0 1 2 3 4 5 10 15 20 30 40 Reconstructed Energy (GeV) Moved from likelihood method towards χ2 fit, containingFigure 1 – Ratioscovariance of the far-to-near detector counts versus the reconstructed neutrino energy for the charged- current (top panel) and neutral-current (bottom panel) selected events. The red band shows the prediction of the matrix with systematics 13 three-neutrino-flavour model with systematic uncertainty.
target by MINERvA and comparison with modelling expectations (from the neutrino event generator GENIE) exhibits sufficiently good modelling for the current needs of the neutrino oscillation experiments.7 A nearly three times larger dataset has been already collected. The next step in the experimental programme consists of measurements at higher neutrino beam energy.
2.2 Results from long-baseline neutrino experiments
There are three present programmes for long-baseline neutrino experiments at Fermilab (MI- NOS, NOvA), in Japan (Tokai-to-Kamioka — T2K) and at CERN (OPERA). Long-baseline experiments measure muon-neutrino disappearance and νµ νe appearance, as well as their 2 → anti-processes. Their probabilities depend on sin (2θ13), which is well measured and large, on 2 2 2 sin (2θ23), ∆m32, and δCP , and on the sign of ∆m31 that sets the mass hierarchy. All these properties can be experimentally addressed. The MINOS experiment consists of a 24 ton near detector (ND), placed about 1 km from the NuMI beam target, and a 4.2 kiloton far detector (FD) installed 735 km away from the target and 705 m underground in the Soudan mine. Both near and far detectors are magnetised track- ing/sampling calorimeters, segmented into planes of steel and scintillator strips. The detectors are designed to have equivalent functionality so that systematic uncertainties in the neutrino flux modelling and interaction cross sections cancel in the ratio. MINOS released in May 2014 a combined analysis of its muon-neutrino disappearance and νµ νe appearance data with results 2 2 → for ∆m32 and sin θ23. At this conference MINOS reported on a search for sterile neutrino using 8,9 the muon-neutrino beam. Presence of a fourth (sterile) neutrino (νsterile) requires to introduce six new parameters to the PMNS matrix (three plus one flavour model). For simplicity the additional CP phases and θ14 are set to zero, and the fit to data determines simultaneously 2 2 the parameters ∆m32, ∆m41, θ23, θ24, θ34. Because νactive–νsterile mixing may affect the ND reference measurement, which conventionally is assumed not to be affected by neutrino oscil-
3 3.5 50 Data Normal Hierarchy, 90% CL Unoscillated prediction Best fit prediction (no systs) NOνA Expected 1-σ syst. range T2K 2014 40 Best fit prediction (systs)
Backgrounds ) MINOS 2014 2 3.0 Normal Hierarchy eV 2.74×1020 POT-equiv. 30 -3 2 Best fit χ /Ndof =19.0/16 (10
20 2 32
m 2.5 Events / 0.25 GeV ∆
10
2.0 0 0 1 2 3 4 5 0.3 0.4 0.5 0.6 0.7 Reconstructed Neutrino Energy (GeV) 2 sin θ23
Figure 2 – The left panel shows the reconstructed neutrino energy distribution in the NOvA far detector. The green dotted line indicates the expected distribution without νµ disappearance. The data are significantly lower and well fitted with an oscillating signal. The oscillation parameter constraints obtained from these data are shown in the right panel, compared to other experiments. lation, a combined fit of the FD/ND ratio is performed. That fit shows agreement with the three-flavour model (c.f. Fig.1) allowing to derive limits on the additional four-flavour sterile neutrino parameters that improve over constraints from other experiments.
The new NOvA long-baseline neutrino experiment at Fermilab consists of a 14 kiloton FD, 810 km away from target, installed on surface, and a 0.3 kiloton ND, both using fine-grained 10 tracking-calorimeter technology. NOvA is placed 0.8◦ off-axis from the NuMI beam so that the muon-neutrino beamb energy spread is reduced with peak at about 2 GeV close to the maximum muon-neutrino disappearance and electron-neutrino appearance probabilities. NOvA allows to identify electron-neutrino reactions. First NOvA results are based on data taken between November 2014 and June 2015 with a low-intensity (< 500 kW) beam. Electron-neutrino cross- section measurements found somewhat larger values than T2K and Gargamelle, which is input to the GENIE modelling. An initial measurement of muon-neutrino disappearance11 provided 2 2 a first constraint on ∆m32 and sin θ23, both in agreement with earlier results from MINOS and 12 T2K, but not yet reaching their precision (see Fig.2). A first νµ νe appearance measurement → resulted in 6/11 events observed with the use of two different analysis methods (LID/LEM) in the FD for about one expected background event (estimate based on ND measurements). This corresponds to an excess of 3.3/5.3σ, respectively, with the LEM result being less compatible with the inverted hierarchy. NOvA results with a twice larger dataset are forthcoming. Data with increased beam power (700 kW) are expected to be taken in 2016.
The Japan-based experiment T2K13 has a 295 km long baseline, using as FD Super-Kamiokande a Cherenkov detector with pure water as active material, and the NDs INGRID (on axis) and ND280 (off-axis), featuring different target materials, though currently only carbon was de- ployed. T2K is placed 2.5◦ off beam axis providing a narrow neutrino energy at a peak value of about 0.6 GeV. A combined νµ disappearance and νe appearance analysis using T2K’s 2010–2013 2 2 data provided the world’s best measurements of ∆m32 and sin θ23. During the 2014/2015 runs 20 T2K operated in νµ beam mode with 390 kW beam power collecting a total of 11 10 protons- · on-target (POT). The antineutrino beam being less pure, the larger wrong-sign background must be measured in the ND giving about 10% flux and cross section systematic uncertainty. This is
b With magnetic horns focusing on positive mesons the NuMI beam is composed of 97.6% νµ, 1.7% νµ, 0.7% νe and νe for neutrino energies between 1 and 3 GeV.
4 7 6 ×10-3 ⇤⇤ also at BMCC/CUNY, Science Department, New York, 3 ) 5.5 20 2 New York, U.S.A. T2K ν beam 4.01×10 POT Data TABLET2K IV. ν best Percentage fit changeT2K ν 90% in the CL number of 1-ring µ-like[1] Z. Maki, M. Nakagawa, and S. Sakata, Prog. Theor. 2.5 νµ CCQE 5events before the oscillationT2K fitν 68% from CL 1 systematic parame- | (eV T2K ν best fit νµ CCnon-QE T2K ν 90% CL Phys. 28,870(1962). 2 32 ter variations,MINOS ν best assuming fit the oscillation parameters listed in 2 νµ CCQE 4.5 MINOS ν 90% CL [2] B. Pontecorvo, Sov. Phys. JETP 26,984(1968). ν CCnon-QE m TableSuper-K III and best that fit the anti-neutrino and neutrino oscillation µ ∆ ν Super-K ν 90% CL [3] K. Nakamura, S. T. Petcov, et al. (Particle Data Group), 1.5 NC 4parameters are identical.
Events/0.1 GeV Phys. Rev. D 86,010001(2012),seesection13.NEU- νe + νe CC 1 ν-mode best fit | or 3.5 exp exp TRINO MASS, MIXING, AND OSCILLATIONS. 2 32 Source of uncertainty (number of parameters) nSK /nSK 0.5 m 3 [4] P. Adamson et al. (MINOS Collaboration), Phys. Rev. ∆ | ND280-unconstrained cross section (6) 10.0% Lett. 108,191801(2012). 2.5 Flux and ND280-constrained cross section (31) 3.4% 0 0.5 1 1.5 2 2.5 3 3.5 4 4.5 5 [5] K. Abe et al. (Super-Kamiokande Collaboration), Phys. 1.5 2 Super-Kamiokande detector systematics (6) 3.8% Rev. Lett. 107,241801(2011). 1 Pion FSI and reinteractions (6) 2.1% [6] K. Abe et al. (T2K Collaboration), Nucl. Instrum. Meth- 0.5 1.5 ods A659,106(2011). Total (49) 11.6% 1 [7] D. Beavis, A. Carroll, I. Chiang, et al. (E889 Collabora-
Ratio to no oscillations 0 0.5 1 1.5 2 2.5 3 3.5 4 4.5 5 0.2 0.3 0.4 0.5 0.6 0.7 0.8 tion), Physics Design Report BNL 52459 (1995). 2 2 Reconstructed ν Energy (GeV) sin (θ23) or sin (θ23) [8] K. Abe et al. (T2K Collaboration), Nucl. Instrum. Meth- trino energy bins. ods A694,211(2012). FIG. 3. Top: The reconstructed energy distribution of the 2 [9] N. Abgrall et al. (T2K ND280 TPC Collaboration), Nucl. Figure 3 – Anti-muon-neutrino disappearance signal measuredFIG. 4. by TheWe T2K 68% define in and a (dominantly) 90% confidence= 2ln( anti-muon-neutrino regions(o)/max( for sin))2( as✓ ) the ratio 34 far detector ⌫ candidates and the best fit prediction, sep- 23 Instrum. Methods A637,25(2011). beam. The leftµ panel shows the 34 data events seen in theand far detectorm2 assuming compared normal to the hierarchy. best fitL prediction. T2K ⌫ [13],L The SK ⌫ [5] 2 arated by interaction mode. This is compared to the pre- of32 the marginal likelihood at a point o in the sin ([10]✓23)P. Amaudruz et al. (T2K ND280 FGD Collaboration), right panel shows the extracted (anti-)oscillation parameters.and| MINOS| ⌫ 2[4] 90% confidence regions are also shown. dicted spectrum assuming the anti-neutrino oscillation pa- – m32 oscillation parameter space and the maximumNucl. Instrum. Methods A696,1(2012). rameters are identical to the neutrino parameters measured marginal likelihood. The confidence region is then[11] de-S. Fukuda et al. (Super-Kamiokande Collaboration), by T2K [13]. Bottom: The observed data and ⌫µ-mode best fined as the area of the oscillation parameter space forNucl. Instrum. Methods A501,418(2003). improved with the use of a combined fit of the neutrino flux model together with external and fit prediction as a ratio to the unoscillated prediction. no indicationwhich of new2 is physics, less than and a standard are also in critical good agree- value. [12] K. Abe et al. (Super-Kamiokande Collaboration), Nucl. ND280 data as input to the oscillation fit. Such a complex extraction is required because FD Instrum. Methods A737,253(2014). ment withTable similar IV measurements summarizes the from fractional MINOS error [4] and on the ex- [13] K. Abe et al. (T2K Collaboration), Phys. Rev. D91, and ND use different target and measurement technologies.SK [5].pected The Theresults number measurement presented of SK events here, of ν with fromµ disappear- the a 1 firstvariation T2K of the TABLE III. Oscillation parameters used for the fit. The pa- 072010 (2015). ance yielded2 a significant2 deficit with only 34 muonanti-neutrino eventsflux, cross-section, (c.f. dataset, Fig. are3), andcompetitive hence far a detector clear with sign systematic those of from parame-[14] K. Abe et al. (T2K Collaboration), Phys. rameters sin (✓23)and m32 were allowed to fit in the ranges 15 given.oscillation, All other while parameters that of wereνe appearance fixed to the values with shown,3 electronboth MINOSters. events Although and seen SK, is demonstrating the not fractional yet significant. error the e↵ onectiveness the expected of num-Rev. D87,012001(2013),[Addendum:Phys. taken from previous T2K fits [13] and the Particle Data Groupthe o↵-axisber of beam events technique. due to systematic errors is large, the e↵ectRev.D87,no.1,019902(2013)]. The European long-baseline programme concentrated on the search for tau-neutrino appearance review [33]. We thankof systematic the J-PARC parameters sta↵ for on superb the confidence accelerator regions per- found[15] A. Ferrari, P. R. Sala, A. Fasso, and J. Ranft, Report No. CERN-2005-010 and SLAC-R-773 and INFN-TC-05- from the conventional muon-neutrino beam sentformance fromin CERN this and fit the is to CERN negligible the 732 NA61 due km collaboration to away the limited OPERA for data pro- statistics. Parameter ⌫ ⌫ 11 (2005). detector in the Italian Gran-Sasso Laboratory (CNGS). A breakthrough for this experiment2 2 2 viding valuableThe impact particle of fixing production the values data. of sin We(✓ acknowl-23) and m32 in sin (✓23)0.527fit0–1 [16] T. T. B¨ohlen et al., Nuclear Data Sheets 120,211(2014). was achieved2 3 with2 the July 2015 observation ofedge a fifth thethe tau-neutrino support fit is also of negligible. MEXT, candidate Japan; exceeding NSERC the (grant [17] R. Brun, F. Carminati, and S. Giani, Report No. CERN- m (10 eV )2.51fit0–20 32 SAPPJ-2014-00031),16 NRC and CFI, Canada; CEA and W5013 (1994). threshold2 of 5σ for the νµ ντ appearance observation. TheIn observedOPERA⌫ charged-currentµ reconstructed energyneutrino spectrum from sin (✓13)0.0248→ CNRS/IN2P3, France; DFG, Germany; INFN, Italy; Na- [18] C. Zeitnitz and T. A. Gabriel, In Proc. of International interactions2 ((νµ )ντ + N τ −( e, µ, h) + X) are recordedthe anti-neutrino in detectors beam (bricks) mode data of lead is shown and in the up- sin (✓12)0.304→ → → tional Scienceper plot Centre of Fig. (NCN), 3, overlaid Poland; with RSF, the best RFBR fit spectrum and as-Conference on Calorimetry in High Energy Physics, Tal- emulsion2 film5 with2 sub-micron resolution. The total target size consists of of 150 thousand bricks. lahassee, FL, USA, February 1993. m21 (10 eV )7.53MES, Russia; MINECO and ERDF funds, Spain; SNSF OPERA features additional target trackers and muonsuming spectrometers. normal hierarchy, Tau-neutrino separated candidates by interaction mode.[19] N. Abgrall et al. (NA61/SHINE), (2015), (rad) -1.55 and SERI, Switzerland; STFC, UK; and DOE, USA. We are identifiedCP by tracks with a large impact parameterThe from lower the plot tau indecay Fig. and 3 is no the muon ratio of from data to the ex-arXiv:1510.02703 [hep-ex]. also thankpected, CERN unoscillated for the UA1/NOMAD spectrum. magnet, DESY the primary interaction vertex. Data between 2008 and 2012 were used, corresponding to 18 [20] Y. Hayato, Acta Phys. Polon. B40, 2477 (2009), version for the HERA-B magnet mover system, NII for2 SINET4, 5.3.2 of NEUT library is used that includes (i) the multin- 19 2 The best fit values obtained are sin (✓23·)=0.45 and and10 mPOTare giving estimated 20 thousand using a neutrino maximum interactions likelihood in the detector of which 6.72 thousand were 32 the WestGrid m2 and=2 SciNet.51 10 consortia3eV , with in Compute 68% confidence Canada, intervalsucleon ejection model of Nieves et al. [21] and (ii) nuclear fit to the measured14 reconstructed energy spectrum in 32 fully analysed. The five identified tau candidatesGridPP consistof| and 0.38 the of| – three Emerald0.64 and⇥ one-prong High 2.26 – Performance 2.80 and ( one10 3 three-ComputingeV2)respectively.long range correlations for CCQE interactions, treated in the far detector. All other oscillation parameters are the random phase approximation [22]. prong hadronic decays, and one muon decay.facility, The pureA UK. goodness-of-fit muon In addition decay test participation candidate was performed⇥ has of individual a by very comparing re- this fixed as shown in Table III. Oscillation probabilitiessearchers are and institutions has been further supported [21] J. Nieves, I. Ruiz Simo, and M. J. Vicente Vacas, Phys. small background expectation of 0.004 0.001 events.fit The to an overall ensemble background of toy experiments, expectation giving is a p-value of calculated using the full three-flavor oscillation± frame-by funds from: ERC (FP7), H2020 RISE-GA644294- Rev. C 83,045501(2011). estimated to be 0.25 0.05 events, the expected signal0.38. 2.64 0.53 events, which is compatible [22] J. Nieves, J. E. Amaro, and M. Valverde, Phys. Rev. C work [31], assuming the normal mass hierarchy ( m2 JENNIFER,> EU; JSPS, Japan; Royal Society, UK; DOE ± 32 The± fit results are shown in Fig. 4 as 68% and 90% con-70, 055503 (2004), [Erratum-ibid. C 72 (2005) 019902]. 0).with Matter the eobserved↵ects are five included events. with The an signal Earth significancedensityEarly of Careeris 5.1σ program,hence establishing USA. the observation fidence regions in the sin2(✓ )– m2 plane. The[23] 90%C. Wilkinson, In Proc. of 16th International Workshop ⇢ of= 2.6tau-neutrino g/cm3 [32]. appearance. OPERA also set limits on sterile neutrinos. The OPERA23 physics32 on Neutrino Factories and Future Neutrino Beam Facil- confidence regions from the T2K neutrino beam mode programmeConfidence regions has now are ended. constructed for the oscillation ities (NUFACT 2014), Glasgow, Scotland, UK, August joint disappearance and appearance fit [13], the SK fit parameters using the constant 2 method [33]. A 2014 . to ⌫ in atmospheric neutrino data [5], and the MINOS marginal likelihood is used for this, integrating over the µ [24] C. H. Llewellyn Smith, Phys. Rept. 3,261(1972). ⇤ alsofit at to J-PARC,⌫ beam Tokai, and Japan atmospheric data [4] are also shown[25] M. Jacob, Gauge Theories and Neutrino Physics (Else- nuisance2.3 Results parameters fromf (short-baseline)with prior probability reactor functions experiments µ † a liatedfor comparison. member at Kavli A second, IPMU (WPI), fully Bayesian, the University analysis wasvier Science Ltd, North-holland/amsterdam, 1978). ⇡(f) to find the likelihood as a function of only the rele- of Tokyo,also performed, Japan producing a credible region matching[26] theA. A. Aguilar-Arevalo et al. [MiniBooNE Collaboration], vant oscillation parameters o: ‡ also at National Research Nuclear University ”MEPhI” Phys. Rev. D 81,092005(2010). New neutrino measurements from experiments placed closeconfidence to nuclear regions reactors presented in above. China (Daya and Moscow Institute of Physics and Technology, [27] A. A. Aguilar-Arevalo et al. (MiniBooNE), Phys. Rev. Bay) and France (Double Chooz) were reported. Nuclear reactors represent powerful νe sources Moscow,Conclusions.— Russia We report the first study of ⌫µ disap-D88,032001(2013). Ebins from beta-decay of the nuclear fission products. Detectors§ alsopearance at JINR, installed Dubna,using in an theirRussia o↵-axis(km) beam vicinity and present can measure-[28] G. Fiorentini et al. (MINERvA Collaboration), Phys. 2 O 2 2 3 2 (o)= i(o, f) ⇡(f) df, (2)¶ also at Institute of Particle Physics, Canada Rev. Lett. 111,022502(2013). measure theL mixing angleL θ13 from⇥ the νe survival probabilityments of thatsin (✓ is23 dominated)=0.45 and by m the32 =2 ∆m.3251 10 eV . Z i ⇥ 2 term. Y These results are consistent with the values of sin (✓23) 2 where Ebins denotes the number of reconstructed neu- and m32 observed previously by T2K [13], providing The Daya Bay detector has completed its full assembly. It consists of two near experimental
5 FD&/&ND&ratio