Solar neutrino flux measurements by the Soviet-American gallium experiment (SAGE) for half the 22-year solar cycle

Abdurashitov, J. N.; Veretenkin, E. P.; Vermul, V. M.; Гаврин, В. Н.; Girin, S. V.; Gorbachev, V. V.; Gurkina, P. P.; Зацепин, Г. Т.; Ибрагимова, Т. В.; Kalikhov, A. V.; Knodel, T. V.; Mirmov, I. N.; Khairnasov, N. G.; Shikhin, A. A.; Yants, V. É.; Bowles, T. J.; Teasdale, W. A.; Nico, J. S.; Wilkerson, J. F.; Cleveland, B. T.; Elliott, S. R.

doi:10.1134/1.1506424

Cited by 410 publications

(217 citation statements)

References 28 publications

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“…In addition to the SNO data we take into account the rates of the chlorine experiment at the Homestake mine [3,4] (2.56 ± 0.16 ± 0.16 SNU), the most up-to-date results [33] of the gallium experiments SAGE [5,6] [7,8,9] (69.3 ± 4.1 ± 3.6), as well as the 1496-day Super-Kamiokande data sample [10] in the form of 44 bins (8 energy bins, 6 of which are further divided into 7 zenith angle bins). The analysis methods used here are similar to the ones described in Refs.…”

Section: Two-neutrino Analysis Of Solar and Kamland Datamentioning

confidence: 99%

Status of three-neutrino oscillations after the SNO-salt data

et al. 2003

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We perform a global analysis of neutrino oscillation data in the framework of three neutrinos, including the recent improved measurement of the neutral current events at SNO. In addition to all current solar neutrino data we take into account the reactor neutrino data from KamLAND and CHOOZ, the atmospheric neutrino data from Super-Kamiokande and MACRO, as well as the first spectral data from the K2K long baseline accelerator experiment. The up-to-date best fit values and allowed ranges of the three-flavour oscillation parameters are determined from these data. Furthermore, we discuss in detail the status of the small parameters α ≡ ∆m 2 sol /∆m 2 atm and sin 2 θ 13 , which fix the possible strength of CP violating effects in neutrino oscillations.

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Section: Two-neutrino Analysis Of Solar and Kamland Datamentioning

confidence: 99%

Status of three-neutrino oscillations after the SNO-salt data

et al. 2003

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“…approximate µ-τ symmetry [11][12][13]. From the analysis of solar neutrino data [14][15][16][17][18], especially from SNO [1, 2], we have (at 68% CL):…”

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confidence: 99%

“…approximate µ-τ symmetry [11][12][13]. From the analysis of solar neutrino data [14][15][16][17][18], especially from SNO [1, 2], we have (at 68% CL):The phases of ν 2 and ν e can be chosen such thatUnitarity now fixes the remaining three MNS matrix elements up to their overall phase, which may be chosen so thatBoth the relative precision, and the absolute precision, in the determination of |U e2 | 2 in Eq. (5) is better than that of |U µ3 | 2 in Eq.…”

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confidence: 99%

Simplified unitarity triangles for the lepton sector

2006

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Encouraged by the latest SNO results, we consider the lepton mixing matrix in the approximation that the ν2 mass eigenstate is trimaximally (democratically) mixed. This suggests a new parameterization of the remaining mixing degrees of freedom, which eschews mixing angles, dealing instead, directly with the complex parameter Ue3 of the mixing matrix. Unitarity triangles then take a particularly simple form, which we hope will faciltate comparison with experiment.Recent years have seen huge advances in our knowledge of the properties of neutrinos. Most recently, SNO [1,2] has provided the best evidence for neutrino flavour change, which, coupled with evidence from atmospheric neutrinos [3,4], reactors [5][6][7] and accelerator experiments [8], has enabled the basic form of the MNS [9] lepton mixing matrix, U , to be determined [10].Atmospheric neutrino data [3,4], together with K2K [8] and reactor data [5,6], give (at 68% CL)[10]:Therefore |U τ 3 | 2 ≈ 0.50 ± 0.11, implying thatWe may choose the phases of ν µ and ν τ such that to a good approximationUnitarity then implies that, with the above choice of phases,ie. approximate µ-τ symmetry [11][12][13]. From the analysis of solar neutrino data [14][15][16][17][18], especially from SNO [1, 2], we have (at 68% CL):The phases of ν 2 and ν e can be chosen such thatUnitarity now fixes the remaining three MNS matrix elements up to their overall phase, which may be chosen so thatBoth the relative precision, and the absolute precision, in the determination of |U e2 | 2 in Eq. (5) is better than that of |U µ3 | 2 in Eq. (1), making |U e2 | ≈ 1 √ 3 currently the best-determined of the MNS matrix elements.Equations (3), (7) and (8) together define the tribimaximal mixing texture [19][20][21], which we may take to be the leading approximation to the lepton mixing matrix. This texture is clearly evocative of symmetries at work. Taking the neutrino flavour eigenstates to define the orientation of a cube, the ν 2 eigenstate, Eq. (7), lies along the body diagonal of the cube, while the ν 3 mass eigenstate lies in the plane of the ν µ − ν τ face, at 45 • to the ν µ state. It may be remarked that the same mixing matrix elements also occur as the M = 0 subset of the j × j = 1 × 1 set of Clebsch-Gordan coefficients.An extensive future experimental neutrino program is being planned [22][23][24] which will refine the tribimaximal picture outlined above. The current situation for neutrino physics and the MNS matrix appears analogous to that earlier for B physics and the CKM matrix, in which the leading approximation to the matrix was established experimentally, long before its smallest elements were determined. In that case, the Wolfenstein parametrization has become widely adopted [25]. This approximate paramterization avoids the introduction of mixing angles, dealing instead directly with the complex elements of the matrix, with the help of "unitarity triangles" [26][27][28][29][30][31][32][33]. It is our purpose here to propose an analogously simple parameterization for the MNS mixing...

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“…The diagonal representations X L = Diag(e iφ1 , e iφ2 , e iφ3 ), X R = Diag(e iσ1 , e iσ2 , e iσ3 ), (18) constrain the charged lepton mass matrix M ℓ by M ℓ = X † L M ℓ X R , or, more explicitly,…”

Section: Abelian Representations and Charged Lepton Mass Matricesmentioning

confidence: 99%

“…The angle θ 23 , extracted from atmospheric neutrino experiments [9,10,11,12], takes the best fit value of sin 2 θ 23 = 1 2 [13]. Solar neutrino results [14,15,16,17,18,19,20] are accommodated in Eq. (1) through the choice sin 2 θ 12 = 1 3 , which is in the middle of the allowed "large mixing angle regions" denoted LMA-I and LMA-II [21].…”

Section: Introductionmentioning

confidence: 99%

Tribimaximal mixing, discrete family symmetries, and a conjecture connecting the quark and lepton mixing matrices

2003

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Neutrino oscillation experiments (excluding the LSND experiment) suggest a tri-bimaximal form for the lepton mixing matrix. This form indicates that the mixing matrix is probably independent of the lepton masses, and suggests the action of an underlying discrete family symmetry. Using these hints, we conjecture that the contrasting forms of the quark and lepton mixing matrices may both be generated by such a discrete family symmetry. This idea is that the diagonalisation matrices out of which the physical mixing matrices are composed have large mixing angles, which cancel out due to a symmetry when the CKM matrix is computed, but do not do so in the MNS case. However, in the cases where the Higgs bosons are singlets under the symmetry, and the family symmetry commutes with SU (2)L, we prove a no-go theorem: no discrete unbroken family symmetry can produce the required mixing patterns. We then suggest avenues for future research.

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Solar neutrino flux measurements by the Soviet-American gallium experiment (SAGE) for half the 22-year solar cycle

Cited by 410 publications

References 28 publications

Status of three-neutrino oscillations after the SNO-salt data

Status of three-neutrino oscillations after the SNO-salt data

Simplified unitarity triangles for the lepton sector

Tribimaximal mixing, discrete family symmetries, and a conjecture connecting the quark and lepton mixing matrices

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