A new neutrino oscillation

    Stephen J. Parke
    • Theoretical Physics Department, Fermi National Accelerator Laboratory, P.O. Box 500, Batavia, IL 60510, USA
Physics 4, 57
The T2K collaboration in Japan sees strong hints of muon neutrino to electron neutrino oscillation.
Credit: Adapted from [5]
Figure 1: The flavor content of the neutrino mass eigenstates. The splitting between ν3 and ν2 (or ν1) (labelled here by 1, 2, and 3) is responsible for oscillation at 500km/GeV (relevant to neutrinos arriving from the Earth’s atmosphere), whereas the splitting between ν2 and ν1 leads to an oscillation at the scale of 15,000km/GeV (relevant to neutrinos arriving from the sun). νe appearance at the T2K experiment is primarily controlled by the size of sin2θ13, the fraction of νe in the ν3 mass eigenstate.

Starting in the late 1960s, neutrino detectors began to see signs that neutrinos, now known to come in the flavors electron ( νe), muon ( νμ), and tau ( ντ), could transform from one flavor to another. The findings implied that neutrinos must have mass, since massless particles travel at the speed of light and their clocks, so to speak, don’t tick, thus they cannot change.

What has since been discovered is that neutrinos oscillate at two distinct scales, 500km/GeV and 15,000km/GeV, which are defined by the baseline ( L) of the experiment (the distance the neutrino travels) divided by the neutrino energy ( E). Neutrinos of one flavor can oscillate into neutrinos of another flavor at both L/E scales, but the amplitude of these oscillations is different for the two scales and depends on the initial and final flavor of the neutrinos. The neutrino states that propagate unchanged in time, the mass eigenstates ν1, ν2, ν3, are quantum mechanical mixtures of the electron, muon, and tau neutrino flavors, and the fraction of each flavor in a given mass eigenstate is controlled by three mixing angles and a complex phase. Two of these mixing angles are known with reasonable precision. An upper bound exists for the third angle, called θ13, which controls the size of the muon neutrino to electron neutrino oscillation at an L/E of 500km/GeV. The phase is completely unknown. The existence of this phase has important implications for the asymmetry between matter and antimatter we observe in the universe today.

Experiments around the world have steadily assembled this picture of neutrino oscillation, but evidence of muon neutrino to electron neutrino oscillation at 500km/GeV has remained elusive. Now, a paper from the T2K (Tokai to Kamioka) experiment in Japan [1], reports the first possible observation of muon neutrinos oscillating into electron neutrinos at 500km/GeV. They see 6 candidate signal events, above an expected background of 1.5 events. The probability that the 6 events are all background is only about 0.7%. Stated differently, this is a 2.7σ indication that the parameter that controls the oscillation, the neutrino mixing angle θ13, is nonzero, just shy of the 3σ requirement to claim “evidence for.” Nevertheless, this experiment provides the strongest indication to date that this oscillation actually occurs in nature.

To measure θ13, the T2K aimed a beam of muon neutrinos (produced by the JPARC accelerator complex in Tokai, Japan) to the 50kT Super-Kamiokande experiment, a large underground detector 295 kilometers away, and looked for a signal indicating the appearance of electron neutrinos. Unfortunately, the March 11, 2011 earthquake damaged T2K’s accelerator and the collaboration is not expected to resume taking data until next year. Once it resumes, the collaboration is scheduled to take 50 times more data, and should be in a good place to either definitively confirm, or set a stringent limit on, the neutrino oscillation. At the same time, results from the MINOS experiment already support the T2K findings. At a seminar at Fermilab on June 24, 2011, MINOS reported a 1.7σ excess of electron neutrino appearance events over background [2].

Numerous other experiments are pursuing evidence of a nonzero θ13. Double Chooz in France, Daya Bay in China, and RENO in South Korea—which, unlike T2K, produce neutrinos in a nuclear reactor—are all looking for the disappearance of electron antineutrinos at an L/E500km/GeV. These experiments have either recently started or will soon start taking data, with Double Chooz likely to report their first results by the end of 2011 or the early part of 2012. In addition, the NO νA experiment in the US will start data taking in 2013 with a baseline of 810km. Since it operates at a higher energy, NO νA will have the capability to study oscillations of both neutrinos and antineutrinos. The fact that the T2K experiments indicate not only a nonzero but a potentially large value of θ13 is exciting news for all of these experiments, as there is now a good chance they will be able to measure the value of this mixing angle with some precision, as opposed to just setting a limit on it. This is particularly the case for the long baseline experiments, T2K and especially NO νA, which are looking for possible asymmetries between neutrinos and antineutrinos. Such asymmetries would tell us more about the ordering of the neutrino mass eigenstates. They may also reveal that neutrino physics violates charge-parity (CP) symmetry.

Figure 1 summarizes what is currently known about the flavor content of the three known neutrino mass eigenstates. (A more extensive review can be found in Ref. [3].) ν1 has the highest electron neutrino component and ν3 has the smallest electron neutrino component. Previous experiments have made measurements that determine the following: the muon neutrino component of ν3, which is controlled by the size of sin2θ231/2; the electron neutrino component of ν2, which is controlled by the size of sin2θ121/3; and the electron neutrino component of ν3, which is controlled by the size of sin2θ13, which has been constrained to be less than 0.03 from past experiments. The T2K results, which are a direct measure of the electron neutrino component of ν3, indicate that sin2θ13 is close to this bound of 3%.

The size of the splitting (in mass squared) between ν2 and ν1 is 30 times smaller than the splitting between ν3 and ν2 (or ν1) ( δm212m22-m12=+7.6×10-5eV2 compared to |δm322|=2.4×10-3eV2.) Also, it is known that ν2 is heavier than ν1, but the relationship between the mass of ν3 and ν2 has yet to be determined. This ambiguity is reflected in Fig. 1. If the mass of ν3 is greater than the mass of ν2 and ν1, it is called a normal hierarchy; otherwise it is called an inverted hierarchy. There is one other unknown parameter in the neutrino mixing matrix with an effect on neutrino oscillations. It is a complex phase, which has a range between 0 and 2π. If θ13 is large, as T2K hints it is, then the NO νA experiment has the possibility of determining the neutrino mass hierarchy for a sizeable fraction of the range of this complex phase.

This complex phase is interesting for another reason. It has an opposite sign for neutrinos and antineutrinos and appears in the interference between the oscillation amplitudes of the two L/E scales, thus allowing for the possibility of CP violation for neutrinos. That is, the probability (in vacuum) of a muon neutrino oscillating into an electron neutrino is different than the probability that an antimuon neutrino will oscillate into an antielectron neutrino.

The possibility that θ13 is large opens the very real possibility that CP violation can be observed in the next generation of neutrino experiments. One is the proposed Long Baseline Neutrino Experiment (LBNE), a large detector located at the Homestake mine in South Dakota in the path of an intense beam of neutrinos from Fermilab, 1300km away. Observing CP violation in neutrino oscillations would provide support for the Leptogenesis hypothesis [4], which holds that the observed matter-antimatter asymmetry in the universe arises from an asymmetry in leptons. Finding a connection between neutrinos and the matter-antimatter asymmetry of the universe would be of monumental significance.


  1. K. Abe et al. (T2K Collaboration), Phys. Rev. Lett. 107, 041801 (2011)
  2. MINOS webpage:; MINOS seminar:\_2011June24.pdf; P. Adamson et al. (The MINOS Collaboration), Phys. Rev. D 82, 051102 (2010)
  3. H. Nunokawa, S. J. Parke, and J. W. F. Valle, Prog. Part. Nucl. Phys. 60, 338 (2008)
  4. S. Davidson, E. Nardi, and Y. Nir, Phys. Rept. 466, 105 (2008)
  5. O. Mena and S. J. Parke, Phys. Rev. D 69, 117301 (2004)

About the Author

Image of Stephen J. Parke

Stephen Parke is the Head of the Theoretical Physics Department at the Fermi National Accelerator Laboratory. Besides neutrinos his research interests include top quarks, QCD, and magnetic monopoles.

Subject Areas

Particles and Fields

Related Articles

Viewing a Quantum Spin Liquid through QED
Condensed Matter Physics

Viewing a Quantum Spin Liquid through QED

A numerical investigation has revealed a surprising correspondence between a lattice spin model and a quantum field theory. Read More »

Seven Astrophysical Tau Neutrinos Unmasked
Particles and Fields

Seven Astrophysical Tau Neutrinos Unmasked

Scientists have found seven astrophysical tau neutrinos—particles that are notoriously difficult to detect—in an analysis of data from the IceCube Neutrino Observatory in Antarctica. Read More »

Evidence of a New Subatomic Particle
Particles and Fields

Evidence of a New Subatomic Particle

A signal from the decay products of a meson—a quark and an antiquark—comes from two subatomic particles and not one, as previously thought. Read More »

More Articles