15,225 research outputs found
Discrete symmetries in the three-Higgs-doublet model
N-Higgs-doublet models (NHDM) are among the most popular examples of
electroweak symmetry breaking mechanisms beyond the Standard Model. Discrete
symmetries imposed on the NHDM scalar potential play a pivotal role in shaping
the phenomenology of the model, and various symmetry groups have been studied
so far. However, in spite of all efforts, the classification of finite
Higgs-family symmetry groups realizable in NHDM for any N>2 is still missing.
Here, we solve this problem for the three-Higgs-doublet model by making use of
Burnside's theorem and other results from pure finite group theory which are
rarely exploited in physics. Our method and results can be also used beyond
high-energy physics, for example, in study of possible symmetries in three-band
superconductors.Comment: 5 pages; v2: expanded introduction, some minor corrections, matches
the published versio
Ionization corrections in a multi-phase interstellar medium: Lessons from a z~2 sub-DLA
We present a high resolution (FWHM=2.7 km/s), high S/N echelle spectrum for
the z = 2.26 QSO J2123-0050 and determine elemental abundances for the z = 2.06
sub-DLA in its line of sight. This high redshift sub-DLA has a complex
kinematic structure and harbours detections of neutral (SI, CI), singly (e.g.
CII, SII) and multiply ionized (e.g. CIV, SiIV) species as well as molecular H
and HD. The plethora of detected transitions in various ionization stages is
indicative of a complex multi-phase structure present in this high redshift
galaxy. We demonstrate that the ionization corrections in this sub-DLA are
significant (up to ~0.7 dex). For example, if no ionization correction is
applied, a super-solar metallicity is derived ([S/H] = +0.36), whereas a single
phase ionization correction reduces this to [S/H] = -0.19. The theoretical
impact of a multi-phase medium is investigated through Cloudy modelling and it
is found that the abundances of Si, S and Fe are always over-estimated (by up
to 0.15 dex in our experiments) if a single-phase is assumed. Therefore,
although Cloudy models improve estimates of metal column densities, the
simplification of a single phase medium leaves a systematic error in the
result, so that even ionization-corrected abundances may still be too high.
Without ionization corrections the properties of this sub-DLA appear to require
extreme scenarios of nucleosynthetic origins. After ionization corrections are
applied the ISM of this galaxy appears to be similar to some of the sightlines
through the Milky Way.Comment: Accepted for publication in MNRA
Two Anderson impurities in a 2D host with Rashba spin-orbit interaction
We have studied the two-dimensional two-impurity Anderson model with
additional Rashba spin-orbit interaction by means of the modified perturbation
theory. The impurity Green's functions we have constructed exactly reproduce
the first four spectral moments. We discuss the height and the width of the
even/odd Kondo peaks as functions of the inter-impurity distance and the Rashba
energy (the strength of the Rashba spin-orbit interaction). For small
impurity separations the Kondo temperature shows a non-monotonic dependence on
being different in the even and the odd channel. We predict that the
Kondo temperature has only almost linear dependence on and not an
exponential increase with Comment: To be published in Phys. Rev.
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