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Simple Representation for Reactor Neutrino Experiment Results

Proposing a straightforward method to present sin2213 and  determinations in neutrino experiments, focusing on matter effect and hierarchy considerations. Utilizing known parameters and circle representations for clarity.

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Simple Representation for Reactor Neutrino Experiment Results

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  1. Simple Representation for Combining with the result from a reactor neutrino experiment R. Cahn LBNL

  2. Disclaimer • Perhaps nothing new here. Literature search consisted of dinner with Boris, Gary, and Mark Messier. • Don’t believe the precise numbers. I haven’t had time to check anything. • I am simply proposing a way to present the determination of sin2213 and . • Original motivation was to generate a problem for the 2nd edition of my book with Gerson Goldhaber, in which the neutrino oscillation chapter will be the longest.

  3. Simplest case:no matter effect • Assume known: • Unknown: hierarchy,

  4. Choice of co-ordinates Fix L=810 km, E=2 GeV. Polar co-ordinates: Cartesian co-ordinates:

  5. A Circle For antineutrino,

  6. NOvA in Vacuum! reactor

  7. Including matter and hierarchy

  8. Matter and Hierarchy • For antineutrinos • For inverted hierarchy • Without matter effect, if is solution so is

  9. NOvA normal inverted T2K

  10. 2 expected Input: normal hierarchy, sin2213=0.1, =/4, NOvA

  11. NOvA normal inverted T2K

  12. Beyond Monoenergetic Beams ? • With detectors at first two maxima, get two circles each for neutrino and antineutrino. • Broad-band beam could be accommodated by binning in energy.

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