14,192 research outputs found
Updated Values of Running Quark and Lepton Masses
Reliable values of quark and lepton masses are important for model building
at a fundamental energy scale, such as the Fermi scale M_Z \approx 91.2 GeV and
the would-be GUT scale \Lambda_GUT \sim 2 \times 10^16 GeV. Using the latest
data given by the Particle Data Group, we update the running quark and
charged-lepton masses at a number of interesting energy scales below and above
M_Z. In particular, we take into account the possible new physics scale (\mu
\sim 1 TeV) to be explored by the LHC and the typical seesaw scales (\mu \sim
10^9 GeV and \mu \sim 10^12 GeV) which might be relevant to the generation of
neutrino masses. For illustration, the running masses of three light Majorana
neutrinos are also calculated. Our up-to-date table of running fermion masses
are expected to be very useful for the study of flavor dynamics at various
energy scales.Comment: 23 pages, 6 tables, 2 figures; version published in PR
Quark lepton complementarity and renormalization group effects
We consider a scenario for the Quark-Lepton Complementarity relations between
mixing angles in which the bi-maximal mixing follows from the neutrino mass
matrix. According to this scenario in the lowest order the angle \theta_{12} is
\sim 1\sigma (1.5 - 2^\circ) above the best fit point coinciding practically
with the tri-bimaximal mixing prediction. Realization of this scenario in the
context of the seesaw type-I mechanism with leptonic Dirac mass matrices
approximately equal to the quark mass matrices is studied. We calculate the
renormalization group corrections to \theta_{12} as well as to \theta_{13} in
the standard model (SM) and minimal supersymmetric standard model (MSSM). We
find that in large part of the parameter space corrections \Delta \theta_{12}
are small or negligible. In the MSSM version of the scenario the correction
\Delta \theta_{12} is in general positive. Small negative corrections appear in
the case of an inverted mass hierarchy and opposite CP parities of \nu_1 and
\nu_2 when leading contributions to \theta_{12} running are strongly
suppressed. The corrections are negative in the SM version in a large part of
the parameter space for values of the relative CP phase of \nu_1 and \nu_2:
\phi > \pi/2.Comment: version as published in PRD, 14 pages, 12 figure
Neutrino Mass and New Physics
We review the present state of and future outlook for our understanding of
neutrino masses and mixings. We discuss what we think are the most important
perspectives on the plausible and natural scenarios for neutrinos and what may
have the most promise to throw light on the flavor problem of quarks and
leptons. We focus on the seesaw mechanism which fits into the big picture of
particle physics such as supersymmetry and grand unification providing a
unified approach to flavor problem of quarks and leptons. We argue that in
combination with family symmetries, this may be at the heart of a unified
understanding of flavor puzzle. We also discuss other new physics ideas such as
neutrinos in models with extra dimensions and possible theoretical implications
of sterile neutrinos. We outline some tests for the various schemes.Comment: 90 pages and 9 figures; With permission from the Annual Review of
Nuclear and Particle Science. Final version of this material is scheduled to
appear in the Annual Review of Nuclear and Particle Science Vol. 56, to be
published in November 2006 by Annual Reviews (http://www.annualreviews.org);
some references and parts of text update
Scalar meson mediated nuclear mu-e conversion
We study the nuclear mu-e conversion in the general framework of the
effective Lagrangian approach without referring to any specific realization of
the physics beyond the standard model (SM) responsible for lepton flavor
violation (LFV). We analyze the role of scalar meson exchange between the
lepton and nucleon currents and show its relevance for the coherent channel of
mu-e conversion. We show that this mechanism introduces modifications in the
predicted mu-e conversion rates in comparison with the conventional direct
nucleon mechanism, based on the contact type interactions of the nucleon
currents with the LFV leptonic current. We derive from the experimental data
lower limits on the mass scales of the generic LFV lepton-quark contact terms
and demonstrate that they are more stringent than the similar limits existing
in the literature.Comment: 14 pages, 1 figur
Fully differential NNLO computations with MATRIX
We present the computational framework MATRIX which allows us to evaluate
fully differential cross sections for a wide class of processes at hadron
colliders in next-to-next-to-leading order (NNLO) QCD. The processes we
consider are and hadronic reactions involving Higgs and
vector bosons in the final state. All possible leptonic decay channels of the
vector bosons are included for the first time in the calculations, by
consistently accounting for all resonant and non-resonant diagrams, off-shell
effects and spin correlations. We briefly introduce the theoretical framework
MATRIX is based on, discuss its relevant features and provide a detailed
description of how to use MATRIX to obtain NNLO accurate results for the
various processes. We report reference predictions for inclusive and fiducial
cross sections of all the physics processes considered here and discuss their
corresponding uncertainties. MATRIX features an automatic extrapolation
procedure that allows us, for the first time, to control the systematic
uncertainties inherent to the applied NNLO subtraction procedure down to the
few permille level (or better).Comment: 76 pages, 2 figures, 11 table
New Formulas and Predictions for Running Fermion Masses at Higher Scales in SM, 2HDM, and MSSM
Including contributions of scale-dependent vacuum expectation values, we
derive new analytic formulas and obtain substantially different numerical
predictions for the running masses of quarks and charged-leptons at higher
scales in the SM, 2HDM and MSSM. These formulas exhibit significantly different
behaviours with respect to their dependence on gauge and Yukawa couplings than
those derived earlier. At one-loop level the masses of the first two
generations are found to be independent of Yukawa couplings of the third
generation in all the three effective theories in the small mixing limit.
Analytic formulas are also obtained for running in 2HDM and
MSSM. Other numerical analyses include study of the third generation masses at
high scales as functions of low-energy values of and SUSY scale
GeV.Comment: 42 pages RevTeX, including 16 figures. Typos corrected and one
reference adde
Brane world unification of quark and lepton masses and its implication for the masses of the neutrinos
A TeV-scale scenario is constructed in an attempt to understand the
relationship between quark and lepton masses. This scenario combines a model of
early (TeV) unification of quarks and leptons with the physics of large extra
dimensions. It demonstrates a relationship between quark and lepton mass scales
at rather ``low'' (TeV) energies which will be dubbed as {\em early
quark-lepton mass unification}. It also predicts that the masses of the
neutrinos are naturally light and Dirac. There is an interesting correlation
between neutrino masses and those of the unconventionally charged fermions
which are present in the early unification model. If these unconventional
fermions were to lie between 200 GeV and 300 GeV, the Dirac neutrino mass scale
is predicted to be between 0.07 eV and 1 eV.Comment: ReVTeX, 16 double-column pages. Typos corrected. One added referenc
The weight for random quark masses
In theories in which the parameters of the low energy theory are not unique,
perhaps having different values in different domains of the universe as is
possible in some inflationary models, the fermion masses would be distributed
with respect to some weight. In such a situation the specifics of the fermion
masses do not have a unique explanation, yet the weight provides the visible
remnant of the structure of the underlying theory. This paper introduces this
concept of a weight for the distribution of masses and provides a quantitative
estimate of it from the observed quarks and leptons. The weight favors light
quark masses and appears roughly scale invariant (rho ~ 1/m). Some relevant
issues, such as the running of the weight with scale and the possible effects
of anthropic constraints, are also discussed.Comment: 35pages, 19 figure
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