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| 2 | Authors: J.E.Campagne,M.Maltoni,M.Mezzetto,T.Schwetz
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| 4 | Title: Physics potential of the CERN-MEMPHYS neutrino oscillation project
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| 5 |
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| 6 |
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| 7 | We thank the referee for his/her positive evaluation or our work, the
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| 8 | detailed reading of the manuscript, and the critical comments. Below
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| 9 | we answer to the criticisms, and list the corresponding changes in the
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| 10 | text. We hope that with these changes our work is suitable for
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| 11 | publication.
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| 12 |
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| 13 |
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| 14 | REFEREE: (1) One of the most surprising feature of the results
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| 15 | obtained in this paper is that the mass hierarchy can be resolved up
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| 16 | to sin22theta13 =0.03 just by combining SPL and
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| 17 | betabeam(Fig.16). However, the authors seem to fail to place enough
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| 18 | emphasis on this unexpected result. I understood that some explanation
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| 19 | is already offered by the authors in page 25. What are the key
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| 20 | experimental features which enable the resolution?
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| 21 |
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| 22 | ANSWER: As we explain on p. 26 (previously p. 25), this interesting
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| 23 | effect appears because of a delicate interplay of the (tiny) matter
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| 24 | effect in all four CP and T conjugate channels. This can also be seen
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| 25 | from Fig. 5, where the solutions with the wrong hierarchy appear at
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| 26 | slightly different locations for BB and SPL. We belief that the
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| 27 | explanation given on p. 26 is clear enough. A more detailed
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| 28 | investigation of this effect goes beyond the scope of the paper.
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| 29 |
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| 30 |
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| 31 |
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| 32 | REFEREE: (2)The authors view of the current status of the ideas for
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| 33 | future projects seems to be a bit outdated. Now another option of T2K
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| 34 | upgrade, which is called as T2KK, is available. In this option people
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| 35 | claimed that all the eight-fold parameter degeneracy can be lifted in
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| 36 | situ without relying on combination with atmospheric neutrinos,
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| 37 | thereby reserving the latter as a redundant cross check. Also they use
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| 38 | superbeam only, avoiding a costly beta beam construction. From
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| 39 | outsiders view it looks like the better option within the scope of
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| 40 | megaton class water Cherenkov than CERN-MEMPHYS. Even though the
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| 41 | authors do not fully treat the T2KK setting in their analysis, it
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| 42 | would be nice if the authors comments on comparison between these two
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| 43 | strategies.
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| 44 |
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| 45 | ANSWER: In our work we have confined ourselves to the standard T2HK
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| 46 | setup, since the porpose of our work is not a T2K optimization study
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| 47 | investigating various configurations for that experiment. In contrast,
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| 48 | here T2HK mainly serves as a point of reference to which we compare
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| 49 | the CERN--MEMPHYS experiments. For this aim we prefer to stick to the
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| 50 | ``minimal'' one-detector configuration at a relatively short baseline,
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| 51 | since two-detector setups with very long baselines clearly represent a
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| 52 | different class of experiments whose consideration goes beyond the
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| 53 | scope of the present work. We have added a paragraph to say this
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| 54 | explicitly on p. 4.
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| 55 |
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| 56 | Moreover, we have added at several places in the text comments on the
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| 57 | sensitivities of T2KK obtained in Refs. [34,35], which are the
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| 58 | previous Ref. [60] and the more recent T2KK publication which we have
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| 59 | added to the references. Specifically, we comment on T2KK on p. 22
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| 60 | (CPV), on p. 26 (mass hierarchy) and on p. 27 (octant degeneracy). In
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| 61 | addition we mention also the the wide band beam idea in relation to
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| 62 | the mass hierarchy deterimation, referring to the analysis [74].
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| 63 |
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| 64 |
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| 65 |
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| 66 | REFEREE: (3)The most serious problem in appearance neutrino experiment
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| 67 | with water Cherenkov detector is the background issue, in particular
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| 68 | pi0 rejection. While the authors refer Ref. [51] for 'tighter cut'
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| 69 | the reference is not informative at all. Also, one of the advantage of
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| 70 | the present analysis, as compared to theprevious SPL studies, is that the
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| 71 | authors take into account the spectrum informations. But, at such low
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| 72 | energies it is highly nontrivial to reconstruct neutrino energy
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| 73 | because of Fermi motion. The authors description of the procedure is
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| 74 | too brief to allow understanding such high performance of the
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| 75 | method. The reasonably informative description should be provided
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| 76 | for both aspects.
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| 77 |
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| 78 | ANSWER: We quoted reference [53] (previous [51]) because it's the only
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| 79 | paper where the SPL analysis has been described. It had been performed
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| 80 | by D. Casper from the SuperKamiokande collaboration. We don't have
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| 81 | today all the details of this analysis, but the pi0 background can be
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| 82 | understood from general principles. We have added the following text
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| 83 | in sec. 3.3:
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| 84 |
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| 85 | "Following Ref. [53], the $\pi^o$ background is reduced using a tighter
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| 86 | PID cut compared to the standard Super-Kamiokande analysis used in
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| 87 | K2K, but the cuts are looser than for T2K. Indeed, at SPL energies the
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| 88 | $\pi^o$ background is less severe than for T2HK. This is because the
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| 89 | resonant cross section is suppressed, and the produced pions have an
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| 90 | energy where the angle between the two gammas is very wide, leading to
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| 91 | a small probability that the two gamma rings overlap. This results in
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| 92 | a higher signal efficiency of SPL compared to T2HK (60\% against 40\%)
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| 93 | and a smaller rate of $\pi^o$ background."
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| 94 |
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| 95 |
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| 96 | Regarding the energy reconstruction, we think to have fully
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| 97 | illustrated the problem with Figure 2 and the related discussion in
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| 98 | sec. 3.2. We are using the same lepton momentum smearing function as
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| 99 | SK and we are using the most updated version of the Nuance neutrino
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| 100 | generator, that is worldwide considered the reference for neutrino
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| 101 | generators, and Fermi motion is taken into account. In ref. [34]
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| 102 | (previous [60]) the authors quote an energy resolution of 80 MeV for
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| 103 | QE events. By applying our methods we have 77 MeV resolution in their
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| 104 | energy range.
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| 105 |
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| 106 |
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| 107 |
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| 108 | REFEREE: (4)The Dm2 sensitivity of T2HK as presented in Table 4
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| 109 | appears too good to be true. It is strongly believed that it cannot be
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| 110 | less than 2
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| 111 |
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| 112 | ANSWER: We have added the following text to the discussion of Tab. 4:
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| 113 |
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| 114 | "In the interpretation of the numbers given in Tab. 4 one should
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| 115 | consider that at accuracies below 1\% systematics might become
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| 116 | important, which are not accounted for here. We do include the most
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| 117 | relevant systematics (see Secs. 2 and 3), however, at that level
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| 118 | additional uncertainties related to, for example, the spectral shapes
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| 119 | of signal and/or background, or the energy calibration might
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| 120 | eventually limit the accuracy."
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| 121 |
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| 122 |
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| 123 |
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| 124 | REFEREE: (5) CP sensitivity of T2HK obtained by the authors is
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| 125 | significantly different from that estimated by T2KK people. With the
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| 126 | same 5% error the former is up to sin22theta13 =2x10-3,but the latter
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| 127 | extends to much smaller theta13 region, as shown in one of T2KK paper,
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| 128 | Fig.7 in Ref.[60]. The authors of the paper include SK
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| 129 | experimentalists and hence their treatment of the errors might be more
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| 130 | appropriate than the present analysis. Therefore, at least some
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| 131 | comments must be made on this discrepancy.
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| 132 |
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| 133 | ANSWER: In Ref. [34] (previously Ref. [60]) the systematical errors
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| 134 | are taken to be correlated between neutrino and antineutrino data (see
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| 135 | eqs. 3 and 4 of [34]), whereas in our calculation they are assumed to
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| 136 | be uncorrelated. We have verified that this has a notable impact on
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| 137 | the CPV sensitivity and can explain the different results. We added a
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| 138 | corresponding remark in the text on p. 22. Note that also for the
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| 139 | CERN-MEMPHYS experiment we assume the errors to be uncorrelated, so we
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| 140 | compare all experiments on equal footing.
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| 141 |
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| 142 |
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| 143 | REFEREE: (6)It is not obvious which figure is nu only and which
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| 144 | combines nu and anti-nu. A comment in each caption might be helpful to
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| 145 | the readers.
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| 146 |
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| 147 | ANSWER: We added nu and anti-nu running times in all figure captions.
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| 148 |
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| 149 | REFEREE: (7)The fact that the spectral information solves the
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| 150 | intrinsic degeneracy is noticed for T2K I about 2 years ago in
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| 151 | Ref. [60].
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| 152 |
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| 153 | ANSWER: We do not claim to have discovered this here for the first
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| 154 | time. We add references to [30,32,34] in the discussion of Fig. 6.
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| 155 |
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| 156 |
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| 157 | REFEREE: (8) The authors do not explain the reason why theta13
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| 158 | sensitivity has a sharp minimum at delta = pi, as seen in Fig.9; It is
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| 159 | unusually abrupt drop of more than an order of magnitude.
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| 160 |
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| 161 | ANSWER: We add the following paragraph to the discussion of Fig. 9:
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| 162 |
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| 163 | "The peak of the sensitivity curves around $\delCP \approx \pi$
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| 164 | appears due to the interplay of neutrino and antineutrino data. For
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| 165 | the Super Beams neutrino (antineutrino) data are most sensitive in the
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| 166 | region $\pi \lesssim \delCP \lesssim 2\pi$ ($0 \lesssim \delCP
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| 167 | \lesssim \pi$), and opposite for the \BB, compare also Fig. 14 in
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| 168 | Sec. 6.1. The particular shape of the sensitivity curves emerges from
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| 169 | the relative location of the corresponding curves for neutrino and
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| 170 | antineutrino data, which is controlled by the $L/E_\nu$ value where
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| 171 | the experiment is operated and the value of $|\Delta m^2_{31}|$. The
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| 172 | fact that the peak is most pronounced for the \BB\ follows from the
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| 173 | somewhat smaler $L/E_\nu$ of the \BB\ compared to the Super Beams,
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| 174 | whereas the shapes for SPL and T2HK are similar because of the similar
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| 175 | $L/E_\nu$ values.
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| 176 |
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