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We extend to the co-Frobenius case a result of Drinfeld and Rad-ford related to the fourth power of the antipode of a finite dimensional (co) quasitriangular Hopf algebra.

- M. Aaboud, G. Aad, +497 authors C. Clement
- The European physical journal. C, Particles and…
- 2017

This paper describes the algorithms for the reconstruction and identification of electrons in the central region of the ATLAS detector at the Large Hadron Collider (LHC). These algorithms were used for all ATLAS results with electrons in the final state that are based on the 2012 pp collision data produced by the LHC at [Formula: see text] = 8 [Formula: see… (More)

- G Aad, B Abbott, +497 authors S M Consonni
- Physical review letters
- 2015

A measurement of the Higgs boson mass is presented based on the combined data samples of the ATLAS and CMS experiments at the CERN LHC in the H→γγ and H→ZZ→4ℓ decay channels. The results are obtained from a simultaneous fit to the reconstructed invariant mass peaks in the two channels and for the two experiments. The measured masses from the individual… (More)

- M Beattie, S D˘ Asc˘ Alescu
- 2002

Let H be a finite dimensional non-semisimple Hopf algebra over an algebraically closed field k of characteristic 0. If H has no nontrivial skew-primitive elements, we find some bounds for the dimension of H 1 , the second term in the coradical filtration of H. Using these results, we are able to show that every Hopf algebra of dimension 14, 55 and 77 is… (More)

- M. Beattie
- 2002

In this paper, we study the duals of some finite dimensional pointed Hopf algebras working over an algebraically closed field k of characteristic 0. In particular, we study pointed Hopf algebras with coradical k[Γ] for Γ a finite abelian group, and with associated graded Hopf algebra of the form B(V)#k[Γ] where B(V) is the Nichols algebra of V = ⊕ i V χ i g… (More)

- G Aad, B Abbott, +497 authors I A Connelly
- The European physical journal. C, Particles and…
- 2015

A search for Higgs boson decays to invisible particles is performed using 20.3 [Formula: see text] of pp collision data at a centre-of-mass energy of 8 TeV recorded by the ATLAS detector at the Large Hadron Collider. The process considered is Higgs boson production in association with a vector boson ([Formula: see text] or Z) that decays hadronically,… (More)

- G. Aad, B. Abbott, +497 authors T. Colombo
- The European physical journal. C, Particles and…
- 2015

This paper reviews and extends searches for the direct pair production of the scalar supersymmetric partners of the top and bottom quarks in proton-proton collisions collected by the ATLAS collaboration during the LHC Run 1. Most of the analyses use 20 [Formula: see text] of collisions at a centre-of-mass energy of [Formula: see text] TeV, although in some… (More)

- M Aaboud, G Aad, +497 authors M Citterio
- Physical review letters
- 2016

A search for the decays of the Higgs and Z bosons to a ϕ meson and a photon is performed with a pp collision data sample corresponding to an integrated luminosity of 2.7 fb^{-1} collected at sqrt[s]=13 TeV with the ATLAS detector at the LHC. No significant excess of events is observed above the background, and 95% confidence level upper limits on the… (More)

- G. Aad, B. Abbott, +497 authors J. Cochran
- 2014

ATLAS measurements of the azimuthal aniso-tropy in lead–lead collisions at √ s NN = 2.76 TeV are shown using a dataset of approximately 7 µb −1 collected at the LHC in 2010. The measurements are performed for charged particles with transverse momenta 0.5 < p T < 20 GeV and in the pseudorapidity range |η| < 2.5. The anisotropy is characterized by the Fourier… (More)

- M. Aaboud, G. Aad, +497 authors M. Ciubancan
- The European physical journal. C, Particles and…
- 2016

This paper presents a dedicated search for exotic decays of the Higgs boson to a pair of new spin-zero particles, [Formula: see text], where the particle a decays to b-quarks and has a mass in the range of 20-60 GeV. The search is performed in events where the Higgs boson is produced in association with a [Formula: see text] boson, giving rise to a… (More)