We perform a determination of the strong coupling constant using the latest ATLAS inclusive jet cross section data, from proton–proton collisions at
, and their full information on the bin-to-bin ...correlations. Several procedures for combining the statistical information from the different data inputs are studied and compared. The theoretical prediction is obtained using NLO QCD, and it also includes non-perturbative corrections. Our determination uses inputs with transverse momenta between 45 and 600 GeV, the running of the strong coupling being also tested in this range. Good agreement is observed when comparing our result with the world average at the Z-boson scale, as well as with the most recent results from the Tevatron.
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DOBA, IZUM, KILJ, NUK, PILJ, PNG, SAZU, SIK, UILJ, UKNU, UL, UM, UPUK
The impact of recent measurements of heavy-flavour production in deep inelastic
ep
scattering and in
pp
collisions on parton distribution functions is studied in a QCD analysis in the fixed-flavour ...number scheme at next-to-leading order. Differential cross sections of charm- and beauty-hadron production measured by LHCb are used together with inclusive and heavy-flavour production cross sections in deep inelastic scattering at HERA. The heavy-flavour data of the LHCb experiment impose additional constraints on the gluon and the sea-quark distributions at low partonic fractions
x
of the proton momentum, down to
x
∼
5
×
10
-
6
. This kinematic range is currently not covered by other experimental data in perturbative QCD fits.
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For a set of measure
and the corresponding scalar products, we define multiple analogues of the Gram determinants and matrices. With their help, we found criteria of uniqueness and explicit form of ...polyorthogonal functions, obtained as a result of the described process of polyorthogonalization of linearly independent systems
in the pre-Hilbert function spaces generated by the measures
. Our results generalize Schmidt’s theorem about orthogonalization.
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EMUNI, FIS, FZAB, GEOZS, GIS, IJS, IMTLJ, KILJ, KISLJ, MFDPS, NLZOH, NUK, OILJ, PNG, SAZU, SBCE, SBJE, SBMB, UKNU, UL, UM, UPUK, VKSCE, ZAGLJ
Sets of parton distribution functions (PDFs) of the proton are reported for the leading (LO), next-to-leading (NLO) and next-to-next-to-leading-order (NNLO) QCD calculations. The parton distribution ...functions are determined with the HERAFitter program using the data from the HERA experiments and preserving correlations between uncertainties for the LO, NLO and NNLO PDF sets. The sets are used to study cross-section ratios and their uncertainties when calculated at different orders in QCD. A reduction of the overall theoretical uncertainty is observed if correlations between the PDF sets are taken into account for the ratio of
W
W
di-boson to
Z
boson production cross sections at the LHC.
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The convergence rate of type II Hermite–Padé approximants for a system of degenerate hypergeometric functions {
1
F
1
(1, γ; λ
j
z
)}
j
=1
k
is found in the case when the numbers {λ
j
}
j
=1
k
are ...the roots of the equation λ
k
= 1 or real numbers and
γ
∈
C
∖
{
0
,
−
1
,
−
2
,
.
.
.
}
. More general statements are obtained for approximants of this type (including nondiagonal ones) in the case of
k
= 2. The theorems proved in the paper complement and generalize the results obtained earlier by other authors.
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EMUNI, FIS, FZAB, GEOZS, GIS, IJS, IMTLJ, KILJ, KISLJ, MFDPS, NLZOH, NUK, OBVAL, OILJ, PNG, SAZU, SBCE, SBJE, SBMB, SBNM, UKNU, UL, UM, UPUK, VKSCE, ZAGLJ
Given any system of Laurent-type power series, a criterion for the uniqueness of polyorthogonal polynomials of first type associated with this system is stated and proved, and explicit determinant ...representations generalizing E. Schmidt’s formula for these polynomials are obtained. The proved statements supplement well-known results of the theory of orthogonal and polyorthogonal polynomials.
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DOBA, EMUNI, FIS, FZAB, GEOZS, GIS, IJS, IMTLJ, IZUM, KILJ, KISLJ, MFDPS, NLZOH, NUK, OILJ, PILJ, PNG, SAZU, SBCE, SBJE, SBMB, UILJ, UKNU, UL, UM, UPUK, VKSCE, ZAGLJ
The asymptotics of diagonal Hermite–Padé polynomials of the first kind is studied for the system of exponential functions
{
e
λ
p
z
}
p
=
0
k
, where λ
0
= 0 and the other λ
p
are the roots of the ...equation
ξ
k
= 1. The theorems proved in the paper supplement the well-known results due to Borwein, Wielonsky, Stahl, Astaf’eva, and Starovoitov obtained for the case in which {λ
p
}
p
=0
k
are different real numbers.
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A technique for the experimental determination of the thermophysical characteristics of inactive aluminophosphate and borosilicate glasses by differential scanning calorimetry (DSC) is proposed and ...tested. The advantages of this measurement technique are shown. For glassy matrices of various compositions, the specific heat capacity and thermal conductivity coefficient are determined. The obtained experimental values make it possible to calculate the thermal conductivity values. The applicability of this method is proved by working with real samples of vitrified high-level waste to study their properties and form a database based on them.
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EMUNI, FIS, FZAB, GEOZS, GIS, IJS, IMTLJ, KILJ, KISLJ, MFDPS, NLZOH, NUK, OILJ, PNG, SAZU, SBCE, SBJE, SBMB, UKNU, UL, UM, UPUK, VKSCE, ZAGLJ
A
bstract
This paper presents a search for direct electroweak gaugino or gluino pair production with a chargino nearly mass-degenerate with a stable neutralino. It is based on an integrated ...luminosity of 36.1 fb
−1
of
pp
collisions at
s
=
13
TeV collected by the ATLAS experiment at the LHC. The final state of interest is a disappearing track accompanied by at least one jet with high transverse momentum from initial-state radiation or by four jets from the gluino decay chain. The use of short track segments reconstructed from the innermost tracking layers significantly improves the sensitivity to short chargino lifetimes. The results are found to be consistent with Standard Model predictions. Exclusion limits are set at 95% confidence level on the mass of charginos and gluinos for different chargino lifetimes. For a pure wino with a lifetime of about 0.2 ns, chargino masses up to 460 GeV are excluded. For the strong production channel, gluino masses up to 1.65 TeV are excluded assuming a chargino mass of 460 GeV and lifetime of 0.2 ns.
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