237 research outputs found

### Complete Multi-Representations of Sets in a Computable Measure Space

In a recent paper, two multi-representations for the measurable sets in a
computable measure space have been introduced, which prove to be topologically
complete w.r.t. certain topological properties. In this contribution, we show
them recursively complete w.r.t. computability of measure and set-theoretical
operations

### Probing the CP-Violation effects in the $h\tau\tau$ coupling at the LHC

A new method used to calculate the neutrino for all major tau hadronic decay
event by event at the LHC is presented. It is possible because nowadays better
detector description is available. With the neutrino fully reconstructed,
matrix element for each event can be calculated, the mass of the Higgs particle
can also be calculated event by event with high precision. Based on these, the
prospect of measuring the Higgs CP mixing angle with $h\to\tau\tau$ decays at
the LHC is analyzed. It is predicted that, with a detailed detector simulation,
with 3 ab$^{-1}$ of data at $\sqrt{s}=13$ TeV, a significant improvement of the
measurement of the CP mixing angle to a precision of $5.2^\circ$ can be
achieved at the LHC, which outperforms the sensitivity from lepton EDM searches
up to date in the $h\tau\tau$ coupling.Comment: 8 figures, 1 table; v2: more refs, adds more discussions, matches to
the published versio

### Search for CP violation effects in the $h\to \tau\tau$ decay with $e^+e^-$ colliders

A new method is proposed to reconstruct the neutrinos in the $e^+e^-\to Zh$
process followed by the $h\to\tau\tau$ decay. With the help of a refined Higgs
momentum reconstruction from the recoiling system and the impact parameters,
high precision in the determination of the momentum of neutrinos can be
achieved. The prospect of measuring the Higgs CP mixing angle with the
$h\to\tau\tau$ decay at future $e^+e^-$ colliders is studied with the new
method. The analysis is based on a detailed detector simulation of the signal
and backgrounds. The fully reconstructed neutrinos and also other visible
products from the tau decay are used to build matrix element (ME) based CP
observables. With 5 $ab^{-1}$ of data at $E_{\text{CM}}=250$ GeV, a precision
of $2.9^\circ$ can be achieved for the CP mixing angle with three main
one-prong decay modes of the taus. The precision is found to be about 35\%
better than the other methods.Comment: 12 pages, 8 figures, refs added, match to published versio

### Searching for the $W \gamma$ decay of a charged Higgs boson

We study the prospects for charged Higgs boson searches in the $W \gamma$
decay channel. This loop-induced decay channel can be important if the charged
Higgs is fermiophobic, particularly when its mass is below the $WZ$ threshold.
We identify useful kinematic observables and evaluate the future Large Hadron
Collider sensitivity to this channel using the custodial-fiveplet charged Higgs
in the Georgi-Machacek model as a fermiophobic benchmark. We show that the LHC
with 300~fb$^{-1}$ of data at 14~TeV will be able to exclude charged Higgs
masses below about 130~GeV for almost any value of the SU(2)$_L$-triplet vacuum
expectation value in the model, and masses up to 200~GeV and beyond when the
triplet vacuum expectation value is very small. We describe the signal
simulation tools created for this analysis, which have been made publicly
available.Comment: 32 pages, 12 figures and 4 tables; v2: references added, typo fixed,
match the published versio

### Composite Dark Matter and Higgs

We investigate the possibility that Dark Matter arises as a composite state
of a fundamental confining dynamics, together with the Higgs boson. We focus on
the minimal SU(4)$\times$SU(4)/SU(4) model which has both a Dark Matter and a
Higgs candidates arising as pseudo-Nambu-Goldstone bosons. At the same time, a
simple underlying gauge-fermion theory can be defined providing an existence
proof of, and useful constraints on, the effective field theory description. We
focus on the parameter space where the Dark Matter candidate is mostly a gauge
singlet. We present a complete calculation of its relic abundance and find
preferred masses between 500 GeV to a few TeV. Direct Dark Matter detection
already probes part of the parameter space, ruling out masses above 1 TeV,
while Indirect Detection is relevant only if non-thermal production is assumed.
The prospects for detection of the odd composite scalars at the LHC are also
established.Comment: 54 pages, 10 figures; Typo fixed, figures improved, refs added et

### A Computable Version of the Daniell-Stone Theorem on Integration and Linear Functionals

AbstractFor every measure Î¼, the integral I:fâ†¦âˆ«fdÎ¼ is a linear functional on the set of real measurable functions. By the Daniell-Stone theorem, for every abstract integral Î›:Fâ†’R on a stone vector lattice F of real functions f:Î©â†’R there is a measure Î¼ such that âˆ«fdÎ¼=Î›(f) for all fâˆˆF. In this paper we prove a computable version of this theorem

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