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33future projects seems to be a bit outdated.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