82 research outputs found
Renormalisation group corrections to neutrino mixing sum rules
Neutrino mixing sum rules are common to a large class of models based on the
(discrete) symmetry approach to lepton flavour. In this approach the neutrino
mixing matrix is assumed to have an underlying approximate symmetry form
\tildeU_\nu, which is dictated by, or associated with, the employed
(discrete) symmetry. In such a setup the cosine of the Dirac CP-violating phase
can be related to the three neutrino mixing angles in terms of a sum
rule which depends on the symmetry form of \tildeU_\nu. We consider five
extensively discussed possible symmetry forms of \tildeU_\nu: i)
bimaximal (BM) and ii) tri-bimaximal (TBM) forms, the forms corresponding to
iii) golden ratio type A (GRA) mixing, iv) golden ratio type B (GRB) mixing,
and v) hexagonal (HG) mixing. For each of these forms we investigate the
renormalisation group corrections to the sum rule predictions for in
the cases of neutrino Majorana mass term generated by the Weinberg (dimension
5) operator added to i) the Standard Model, and ii) the minimal SUSY extension
of the Standard Model
Exact Scale Invariance in Mixing of Binary Candidates in Voting Model
We introduce a voting model and discuss the scale invariance in the mixing of
candidates. The Candidates are classified into two categories
and are called as `binary' candidates. There are in total
candidates, and voters vote for them one by one. The probability that a
candidate gets a vote is proportional to the number of votes. The initial
number of votes (`seed') of a candidate is set to be . After
infinite counts of voting, the probability function of the share of votes of
the candidate obeys gamma distributions with the shape exponent
in the thermodynamic limit . Between the
cumulative functions of binary candidates, the power-law relation
with the critical exponent
holds in the region . In the double
scaling limit and with
fixed, the relation holds
exactly over the entire range . We study the data on
horse races obtained from the Japan Racing Association for the period 1986 to
2006 and confirm scale invariance.Comment: 19 pages, 8 figures, 2 table
Statistical mechanics of voting
Decision procedures aggregating the preferences of multiple agents can
produce cycles and hence outcomes which have been described heuristically as
`chaotic'. We make this description precise by constructing an explicit
dynamical system from the agents' preferences and a voting rule. The dynamics
form a one dimensional statistical mechanics model; this suggests the use of
the topological entropy to quantify the complexity of the system. We formulate
natural political/social questions about the expected complexity of a voting
rule and degree of cohesion/diversity among agents in terms of random matrix
models---ensembles of statistical mechanics models---and compute quantitative
answers in some representative cases.Comment: 9 pages, plain TeX, 2 PostScript figures included with epsf.tex
(ignore the under/overfull \vbox error messages
Theory of Neutrino Physics -- Snowmass TF11 (aka NF08) Topical Group Report
This is the report for the topical group Theory of Neutrino Physics
(TF11/NF08) for Snowmass 2021. This report summarizes the progress in the field
of theoretical neutrino physics in the past decade, the current status of the
field, and the prospects for the upcoming decade.Comment: 26 pages, 5 figure
Predictions for the Leptonic Dirac CP Violation Phase: a Systematic Phenomenological Analysis
We derive predictions for the Dirac phase present
in the unitary neutrino mixing
matrix , where and are
unitary matrices which arise from the diagonalisation
respectively of the charged lepton and the neutrino mass matrices.
We consider forms of and allowing us to express
as a function of three
neutrino mixing angles,
present in ,
and the angles contained in .
We consider several forms of
determined by, or associated with, symmetries,
tri-bimaximal, bimaximal, etc.,
for which the angles in are
fixed. For each of these forms and forms of
allowing to reproduce the measured values of the neutrino
mixing angles,
we construct the likelihood function
for , using i) the latest results of the global
fit analysis of neutrino oscillation data,
and ii) the prospective sensitivities
on the neutrino mixing angles.
Our results, in particular, confirm the conclusion
reached in earlier similar studies
that the measurement of the Dirac phase
in the neutrino mixing matrix, together with an improvement
of the precision on the mixing angles,
can provide unique information about the
possible existence of symmetry
in the lepton sector
Coherent elastic neutrino-nucleus scattering: Terrestrial and astrophysical applications
Coherent elastic neutrino-nucleus scattering (CENS) is a process inwhich neutrinos scatter on a nucleus which acts as a single particle. Thoughthe total cross section is large by neutrino standards, CENS has longproven difficult to detect, since the deposited energy into the nucleus is keV. In 2017, the COHERENT collaboration announced the detection ofCENS using a stopped-pion source with CsI detectors, followed up thedetection of CENS using an Ar target. The detection of CENS hasspawned a flurry of activities in high-energy physics, inspiring newconstraints on beyond the Standard Model (BSM) physics, and new experimentalmethods. The CENS process has important implications for not onlyhigh-energy physics, but also astrophysics, nuclear physics, and beyond. Thiswhitepaper discusses the scientific importance of CENS, highlighting howpresent experiments such as COHERENT are informing theory, and also how futureexperiments will provide a wealth of information across the aforementionedfields of physics.<br
Coherent elastic neutrino-nucleus scattering: Terrestrial and astrophysical applications
Coherent elastic neutrino-nucleus scattering (CENS) is a process in which neutrinos scatter on a nucleus which acts as a single particle. Though the total cross section is large by neutrino standards, CENS has long proven difficult to detect, since the deposited energy into the nucleus is keV. In 2017, the COHERENT collaboration announced the detection of CENS using a stopped-pion source with CsI detectors, followed up the detection of CENS using an Ar target. The detection of CENS has spawned a flurry of activities in high-energy physics, inspiring new constraints on beyond the Standard Model (BSM) physics, and new experimental methods. The CENS process has important implications for not only high-energy physics, but also astrophysics, nuclear physics, and beyond. This whitepaper discusses the scientific importance of CENS, highlighting how present experiments such as COHERENT are informing theory, and also how future experiments will provide a wealth of information across the aforementioned fields of physics
The DUNE Far Detector Interim Design Report, Volume 3: Dual-Phase Module
The DUNE IDR describes the proposed physics program and technical designs of the DUNE far detector modules in preparation for the full TDR to be published in 2019. It is intended as an intermediate milestone on the path to a full TDR, justifying the technical choices that flow down from the high-level physics goals through requirements at all levels of the Project. These design choices will enable the DUNE experiment to make the ground-breaking discoveries that will help to answer fundamental physics questions. Volume 3 describes the dual-phase module's subsystems, the technical coordination required for its design, construction, installation, and integration, and its organizational structure
- …