S. T. Petcov

The University of Tokyo, 白山, Tōkyō, Japan

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Publications (213)893.32 Total impact

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    ABSTRACT: We derive and discuss the solution of the Boltzmann equations for leptogenesis in a phenomenologically viable SU(5)×A5 golden ratio flavour model proposed in [1,2]. The model employs, in particular, the seesaw mechanism of neutrino mass generation. We find that the results on the baryon asymmetry of the Universe, obtained earlier in [2] using approximate analytic expressions for the relevant CP violating asymmetry and efficiency factors, are correct, as was expected, up to 20–30%. The phenomenological predictions for the low energy neutrino observables, derived using values of the parameters of the model for which we reproduce the observed value of the baryon asymmetry, change little with respect to those presented in [2]. Among the many predictions of the model we find, for instance, that the neutrinoless double beta decay effective Majorana mass mee lies between 3.3 meV and 14.3 meV.
    Full-text · Article · Oct 2015 · Nuclear Physics B
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    ABSTRACT: Assuming that the observed pattern of 3-neutrino mixing is related to the existence of a (lepton) flavour symmetry, corresponding to a non-Abelian discrete symmetry group $G_f$, and that $G_f$ is broken to specific residual symmetries $G_e$ and $G_\nu$ of the charged lepton and neutrino mass terms, we derive sum rules for the cosine of the Dirac phase $\delta$ of the neutrino mixing matrix $U$. The residual symmetries considered are: i) $G_e = Z_2$ and $G_{\nu} = Z_n$, $n > 2$ or $Z_n \times Z_m$, $n,m \geq 2$, ii) $G_e = Z_n$, $n > 2$ or $G_e = Z_n \times Z_m$, $n,m \geq 2$ and $G_{\nu} = Z_2$, iii) $G_e = Z_2$ and $G_{\nu} = Z_2$, iv) $G_e$ is fully broken and $G_{\nu} = Z_n$, $n > 2$ or $Z_n \times Z_m$, $n,m \geq 2$, and v) $G_e = Z_n$, $n > 2$ or $Z_n \times Z_m$, $n,m \geq 2$ and $G_{\nu}$ is fully broken. For given $G_e$ and $G_\nu$, the sum rules for $\cos\delta$ thus derived are exact, within the approach employed, and are valid, in particular, for any $G_f$ containing $G_e$ and $G_\nu$ as subgroups. We identify the cases when the value of $\cos\delta$ cannot be determined, or cannot be uniquely determined, without making additional assumptions on unconstrained parameters. In a large class of cases considered the value of $\cos\delta$ can be unambiguously predicted once the flavour symmetry $G_f$ is fixed. We present predictions for $\cos\delta$ in these cases for the flavour symmetry groups $G_f = S_4$, $A_4$, $T^\prime$ and $A_5$, requiring that the measured values of the 3-neutrino mixing parameters $\sin^2\theta_{12}$, $\sin^2\theta_{13}$ and $\sin^2\theta_{23}$, taking into account their respective $3\sigma$ uncertainties, are successfully reproduced.
    Preview · Article · Sep 2015 · Nuclear Physics B
  • I. Girardi · D. Meloni · S.T. Petcov
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    ABSTRACT: We show that the relatively large best fit value of measured in the T2K experiment for fixed values of i) the Dirac CP violation phase , and ii) the atmospheric neutrino mixing parameters , , can be reconciled with the Daya Bay result if the effects of non-standard neutrino interactions (NSI) in the relevant and oscillation probabilities are taken into account.
    No preview · Article · Aug 2015
  • J. Lopez-Pavon · E. Molinaro · S. T. Petcov
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    ABSTRACT: We perform a detailed analysis of the one-loop corrections to the light neutrino mass matrix within low scale type I seesaw extensions of the Standard Model and their implications in experimental searches for neutrinoless double beta decay. We show that a sizable contribution to the effective Majorana neutrino mass from the exchange of heavy Majorana neutrinos is always possible, provided one requires a fine-tuned cancellation between the tree-level and one-loop contribution to the light neutrino masses. We quantify the level of fine-tuning as a function of the seesaw parameters and introduce a generalisation of the Casas-Ibarra parametrization of the neutrino Yukawa matrix, which easily allows to include the one-loop corrections to the light neutrino masses.
    No preview · Article · Jun 2015 · Journal of High Energy Physics
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    I. Girardi · S. T. Petcov · A. V. Titov
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    ABSTRACT: Using the fact that the neutrino mixing matrix $U = U^\dagger_{e}U_{\nu}$, where $U_{e}$ and $U_{\nu}$ result from the diagonalisation of the charged lepton and neutrino mass matrices, we analyse the predictions based on the sum rules which the Dirac phase $\delta$ present in $U$ satisfies when $U_{\nu}$ has a form dictated by, or associated with, discrete flavour symmetries and $U_e$ has a "minimal" form (in terms of angles and phases it contains) that can provide the requisite corrections to $U_{\nu}$, so that the reactor, atmospheric and solar neutrino mixing angles $\theta_{13}$, $\theta_{23}$ and $\theta_{12}$ have values compatible with the current data.
    Preview · Article · Apr 2015 · International Journal of Modern Physics A
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    I. Girardi · S. T. Petcov · A. V. Titov
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    ABSTRACT: We derive predictions for the Dirac phase $\delta$ present in the $3\times 3$ unitary neutrino mixing matrix $U = U_e^{\dagger} \, U_{\nu}$, where $U_e$ and $U_{\nu}$ are $3\times 3$ unitary matrices which arise from the diagonalisation respectively of the charged lepton and the neutrino mass matrices. After performing a systematic search, we consider forms of $U_e$ and $U_{\nu}$ allowing us to express $\delta$ as a function of the Pontecorvo, Maki, Nakagawa, Sakata (PMNS) mixing angles, $\theta_{12}$, $\theta_{13}$ and $\theta_{23}$, present in $U$, and the angles contained in $U_{\nu}$. We derive sum rules for $\cos\delta$ in the cases of forms for which the sum rules of interest do not exist in the literature. We consider several forms of $\tilde{U}_{\nu}$ determined by, or associated with, symmetries, tri-bimaximal (TBM), bimaximal (BM), etc., for which the angles in $\tilde{U}_{\nu}$ are fixed. For each of these forms and forms of $\tilde{U}_e$ allowing to reproduce the measured values of the angles $\theta_{12}$, $\theta_{13}$ and $\theta_{23}$, we construct the likelihood function for $\cos \delta$, using i) the latest results of the global fit analysis of neutrino oscillation data, and ii) the prospective sensitivities on the PMNS mixing angles. Our results, in particular, confirm the conclusion reached in earlier similar studies that the measurement of the Dirac phase in the PMNS mixing matrix, together with an improvement of the precision on the mixing angles $\theta_{12}$, $\theta_{13}$ and $\theta_{23}$, can provide unique information about the possible existence of symmetry in the lepton sector. Such measurements could also provide an indication about the structure of the matrix $\tilde U_e$ originating from the charged lepton sector, and thus about the charged lepton mass matrix.
    Preview · Article · Apr 2015 · European Physical Journal C
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    Julia Gehrlein · Serguey T. Petcov · Martin Spinrath · Xinyi Zhang
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    ABSTRACT: In this paper we discuss a minor modification of a previous SU(5) x A5 flavour model which exhibits at leading order golden ratio mixing and sum rules for the heavy and the light neutrino masses. Although this model could predict all mixing angles well it fails in generating a sufficient large baryon asymmetry via the leptogenesis mechanism. We repair this deficit here, discuss model building aspects and give analytical estimates for the generated baryon asymmetry before we perform a numerical parameter scan. Our setup has only a few parameters in the lepton sector. This leads to specific constraints and correlations between the neutrino observables. For instance, we find that in the model considered only the neutrino mass spectrum with normal mass ordering and values of the lightest neutrino mass in the interval 10-18 meV are compatible with the current data on the neutrino oscillation parameters. With the introduction of only one NLO operator, the model can accommodate successfully simultaneously even at 1$\sigma$ level the current data on neutrino masses, on neutrino mixing and the observed value of the baryon asymmetry.
    Full-text · Article · Jan 2015 · Nuclear Physics B
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    S.T. Petcov
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    ABSTRACT: Using the fact that the neutrino mixing matrix , where and result from the diagonalisation of the charged lepton and neutrino mass matrices, we consider a number of forms of associated with a variety of flavour symmetries: i) bimaximal (BM) and ii) tri-bimaximal (TBM) forms, the forms corresponding iii) to the conservation of the lepton charge (LC), iv) to golden ratio type A (GRA) mixing, v) golden ratio type B (GRB) mixing, and vi) to hexagonal (HG) mixing. Employing the minimal form of , in terms of angles and phases it contains, that can provide the requisite corrections to so that reactor, atmospheric and solar neutrino mixing angles , and have values compatible with the current data, including a possible sizable deviation of from , we discuss the possibility to obtain predictions for the CP violation phases in the neutrino mixing matrix. Considering the “standard ordering” of the the 12 and the 23 rotations in and following the approach developed in [1] we derive predictions for the Dirac phase δ and the rephasing invariant in the cases of GRA, GRB and HG forms of (results for the TBM and BM (LC) forms were obtained in [1]). We show also that under rather general conditions within the scheme considered the values of the Majorana phases in the PMNS matrix can be predicted for each of the forms of discussed. We give examples of these predictions and of their implications for neutrinoless double beta decay. In the GRA, GRB and HG cases, as in the TBM one, relatively large CP violation effects in neutrino oscillations are predicted ( ). Distinguishing between the TBM, BM (LC), GRA, GRB and HG forms of requires a measurement of or a relatively high precision measurement of .
    Preview · Article · Jan 2015 · Nuclear Physics B
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    D.N. Dinh · S.T. Petcov
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    ABSTRACT: The process of Radiative Emission of Neutrino Pair (RENP) in atoms is sensitive to the absolute neutrino mass scale, the type of spectrum neutrino masses obey and the nature - Dirac or Majorana - of massive neutrinos. We analyse the possibility to test the hypothesis of existence of neutrinos with masses at the eV scale coupled to the electron in the weak charged lepton current in an RENP experiment. The presence of eV scale neutrinos in the neutrino mixing is associated with the existence of sterile neutrinos which mix with the active flavour neutrinos. At present there are a number of hints for active-sterile neutrino oscillations driven by $\Delta m^2 \sim 1~{\rm eV^2}$. We perform a detailed analysis of the RENP phenomenology within the "3 + 1" scheme with one sterile neutrino.
    Preview · Article · Nov 2014 · Physics Letters B
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    I. Girardi · S. T. Petcov · A. V. Titov
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    ABSTRACT: Using the fact that the neutrino mixing matrix $U = U^\dagger_{e}U_{\nu}$, where $U_{e}$ and $U_{\nu}$ result from the diagonalisation of the charged lepton and neutrino mass matrices, we analyse the sum rules which the Dirac phase $\delta$ present in $U$ satisfies when $U_{\nu}$ has a form dictated by flavour symmetries and $U_e$ has a "minimal" form (in terms of angles and phases it contains) that can provide the requisite corrections to $U_{\nu}$, so that reactor, atmospheric and solar neutrino mixing angles $\theta_{13}$, $\theta_{23}$ and $\theta_{12}$ have values compatible with the current data. The following symmetry forms are considered: i) tri-bimaximal (TBM), ii) bimaximal (BM) (or corresponding to the conservation of the lepton charge $L' = L_e - L_\mu - L_{\tau}$ (LC)), iii) golden ratio type A (GRA), iv) golden ratio type B (GRB), and v) hexagonal (HG). We investigate the predictions for $\delta$ in the cases of TBM, BM (LC), GRA, GRB and HG forms using the exact and the leading order sum rules for $\cos\delta$ proposed in the literature, taking into account also the uncertainties in the measured values of $\sin^2\theta_{12}$, $\sin^2\theta_{23}$ and $\sin^2\theta_{13}$. This allows us, in particular, to assess the accuracy of the predictions for $\cos\delta$ based on the leading order sum rules and its dependence on the values of the indicated neutrino mixing parameters when the latter are varied in their respective 3$\sigma$ experimentally allowed ranges.
    Preview · Article · Oct 2014 · Nuclear Physics B
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    I. Girardi · D. Meloni · S. T. Petcov
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    ABSTRACT: We show that the relatively large best fit value of $\sin^2 2 \theta_{13} = 0.14 \, (0.17)$ measured in the T2K experiment for fixed values of i) the Dirac CP violation phase $\delta = 0$, and ii) the atmospheric neutrino mixing parameters $\theta_{23} = \pi/4$, $|\Delta m^2_{32}| = 2.4 \times 10^{-3} \; {\rm eV}^2$, can be reconciled with the Daya Bay result $\sin^2 2 \theta_{13} = 0.090 \pm 0.009$ if the effects of non-standard neutrino interactions (NSI) in the relevant $\bar \nu_e \to \bar \nu_e$ and $\nu_\mu \to \nu_e$ oscillation probabilities are taken into account.
    Full-text · Article · May 2014 · Nuclear Physics B
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    S. T. Petcov
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    ABSTRACT: The phenomenology of 3-neutrino mixing, the current status of our knowledge about the 3-neutrino mixing parameters, including the absolute neutrino mass scale, and of the Dirac and Majorana CP violation in the lepton sector, are reviewed. The problems of CP violation in neutrino oscillations and of determining the nature — Dirac or Majorana — of massive neutrinos, are discussed. The seesaw mechanism of neutrino mass generation and the related leptogenesis scenario of generation of the baryon asymmetry of the universe, are considered. The results showing that the CP violation necessary for the generation of the baryon asymmetry of the universe in leptogenesis can be due exclusively to the Dirac and/or Majorana CP-violating phase(s) in the neutrino mixing matrix U, are briefly reviewed.
    Preview · Article · Mar 2014 · International Journal of Modern Physics A
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    M. Fabbrichesi · S. T. Petcov
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    ABSTRACT: We discuss how two birds—the little hierarchy problem of low-scale type-I seesaw models and the search for a viable dark matter candidate—are (proverbially) killed by one stone: a new inert scalar state.
    Preview · Article · Jan 2014 · European Physical Journal C
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    I. Girardi · D. Meloni · S.T. Petcov
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    ABSTRACT: We show that the relatively large best fit value of sin22θ13=0.14(0.17) measured in the T2K experiment for fixed values of i) the Dirac CP violation phase δ=0δ=0, and ii) the atmospheric neutrino mixing parameters θ23=π/4θ23=π/4, |Δm322|=2.4×10−3 eV2, can be reconciled with the Daya Bay result sin22θ13=0.090±0.009 if the effects of non-standard neutrino interactions (NSI) in the relevant ν¯e→ν¯e and νμ→νeνμ→νe oscillation probabilities are taken into account.
    Full-text · Article · Jan 2014
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    ABSTRACT: We analyse the interplay of generalised CP transformations and the non-Abelian discrete group T ′ and use the semi-direct product G f = T ′ ⋊H CP, as family symmetry acting in the lepton sector. The family symmetry is shown to be spontaneously broken in a geometrical manner. In the resulting flavour model, naturally small Majorana neutrino masses for the light active neutrinos are obtained through the type I see-saw mechanism. The known masses of the charged leptons, lepton mixing angles and the two neutrino mass squared differences are reproduced by the model with a good accuracy. The model allows for two neutrino mass spectra with normal ordering (NO) and one with inverted ordering (IO). For each of the three spectra the absolute scale of neutrino masses is predicted with relatively small uncertainty. The value of the Dirac CP violation (CPV) phase δ in the lepton mixing matrix is predicted to be δ = π/2 or 3π/2. Thus, the CP violating effects in neutrino oscillations are predicted to be maximal (given the values of the neutrino mixing angles) and experimentally observable. We present also predictions for the sum of the neutrino masses, for the Majorana CPV phases and for the effective Majorana mass in neutrinoless double beta decay. The predictions of the model can be tested in a variety of ongoing and future planned neutrino experiments.
    Full-text · Article · Dec 2013 · Journal of High Energy Physics
  • D. N. Dinh · A. Ibarra · E. Molinaro · S. T. Petcov
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    ABSTRACT: We perform a detailed analysis of lepton flavour violation (LFV) within minimal see-saw type extensions of the Standard Model (SM), which give a viable mechanism of neutrino mass generation and provide new particle content at the electroweak scale. We focus, mainly, on predictions and constraints set on each scenario from μ → eγ, μ → 3e and μ − e conversion in the nuclei. In this class of models, the flavour structure of the Yukawa couplings between the additional scalar and fermion representations and the SM leptons is highly constrained by neutrino oscillation measurements. In particular, we show that in some regions of the parameters space of type I and type II see-saw models, the Dirac and Majorana phases of the neutrino mixing matrix, the ordering and hierarchy of the active neutrino mass spectrum as well as the value of the reactor mixing angle θ 13 may considerably affect the size of the LFV observables. The interplay of the latter clearly allows to discriminate among the different low energy see-saw possibilities.
    No preview · Article · Sep 2013 · Journal of High Energy Physics
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    Ivan Girardi · Aurora Meroni · S. T. Petcov
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    ABSTRACT: We investigate the predictions for neutrinoless double beta ((ββ)0ν -) decay effective Majorana mass |〈m〉| in the 3 + 1 and 3 + 2 schemes with one and two additional sterile neutrinos with masses at the eV scale. The two schemes are suggested by the neutrino oscillation interpretation of the reactor neutrino and Gallium “anomalies” and of the data of the LSND and MiniBooNE experiments. We analyse in detail the possibility of a complete or partial cancellation between the different terms in |〈m〉|, leading to a strong suppression of |〈m〉|. We determine the regions of the relevant parameter spaces where such a suppression can occure. This allows us to derive the conditions under which the effective Majorana mass satisfies |〈m〉| > 0.01 eV, which is the range planned to be exploited by the next generation of (ββ)0ν -experiments.
    Preview · Article · Aug 2013 · Journal of High Energy Physics
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    D. N. Dinh · S. T. Petcov
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    ABSTRACT: The lepton flavour violating (LFV) $\tau$ decays $\tau\to (e,\mu)\gamma$ and $\tau\to 3\mu$ are investigated in the frameworks of the TeV scale type I see-saw and Higgs Triplet (or type II see-saw) models. Predictions for the rates of these processes are obtained. The implications of the existing stringent experimental upper bounds on the $\mu\to e + \gamma$ and $\mu\to 3e$ decay branching ratios for the predictions of the $\tau\to (e,\mu)\gamma$ and $\tau\to 3\mu$ decay rates are studied in detail. The possibilities to observe the indicated LFV $\tau$ decays in present and future experiments are analysed.
    Preview · Article · Aug 2013 · Journal of High Energy Physics
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    M. Fabbrichesi · S. Petcov
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    ABSTRACT: We discuss how two birds---the little hierarchy problem of low-scale type-I seesaw models and the search for a viable dark matter candidate---are (proverbially) killed by one stone: a new inert scalar state
    Preview · Article · Apr 2013
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    S. T. Petcov
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    ABSTRACT: The compelling experimental evidences for oscillations of solar, reactor, atmospheric, and accelerator neutrinos imply the existence of 3-neutrino mixing in the weak charged lepton current. The current data on the 3-neutrino mixing parameters are summarised and the phenomenology of 3- mixing is reviewed. The properties of massive Majorana neutrinos and of their various possible couplings are discussed in detail. Two models of neutrino mass generation with massive Majorana neutrinos—the type I see-saw and the Higgs triplet model—are briefly reviewed. The problem of determining the nature, Dirac or Majorana, of massive neutrinos is considered. The predictions for the effective Majorana mass in neutrinoless double-beta-(-) decay in the case of 3-neutrino mixing and massive Majorana neutrinos are summarised. The physics potential of the experiments, searching for -decay for providing information on the type of the neutrino mass spectrum, on the absolute scale of neutrino masses, and on the Majorana CP-violation phases in the PMNS neutrino mixing matrix, is also briefly discussed. The opened questions and the main goals of future research in the field of neutrino physics are outlined.
    Preview · Article · Apr 2013 · Advances in High Energy Physics

Publication Stats

17k Citations
893.32 Total Impact Points

Institutions

  • 2010-2015
    • The University of Tokyo
      白山, Tōkyō, Japan
    • Universität Siegen
      Siegen, North Rhine-Westphalia, Germany
  • 1978-2015
    • Bulgarian Academy of Sciences
      • Institute for Nuclear Research and Nuclear Energy (INRNE)
      Ulpia Serdica, Sofia-Capital, Bulgaria
  • 1991-2011
    • Scuola Internazionale Superiore di Studi Avanzati di Trieste
      Trst, Friuli Venezia Giulia, Italy
  • 2007
    • University of California, Berkeley
      • Department of Physics
      Berkeley, California, United States
  • 1999-2007
    • INFN - Istituto Nazionale di Fisica Nucleare
      Frascati, Latium, Italy
  • 2002
    • Lund University
      • Department of Theoretical Physics
      Lund, Skåne, Sweden
  • 1987
    • Institute for Nuclear Research and Nuclear Energy
      Ulpia Serdica, Sofia-Capital, Bulgaria
  • 1979-1987
    • CERN
      • Physics Department (PH)
      Genève, GE, Switzerland
  • 1977-1984
    • Joint Institute for Nuclear Research
      Dubno, Moskovskaya, Russia
  • 1983
    • Stanford University
      • SLAC National Accelerator Laboratory
      Palo Alto, California, United States
    • The Franklin Institute
      Newark, New Jersey, United States