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Name
A. Freitas
Affiliation
Editor
City
Missoula
Country
United States

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High Energy Physics - Phenomenology (30)
 
High Energy Physics - Experiment (12)
 
Mathematical Physics (8)
 
Mathematics - Mathematical Physics (8)
 
Mathematics - Dynamical Systems (8)
 
Mathematics - Probability (8)
 
High Energy Physics - Theory (5)
 
Computer Science - Symbolic Computation (4)
 
Statistics - Applications (3)
 
Mathematics - Differential Geometry (3)
 
Statistics - Computation (2)
 
Computer Science - Computer Vision and Pattern Recognition (1)
 
Nuclear Theory (1)
 
Physics - Disordered Systems and Neural Networks (1)
 
Physics - Strongly Correlated Electrons (1)
 
Nonlinear Sciences - Chaotic Dynamics (1)
 
Physics - Statistical Mechanics (1)
 
Computer Science - Learning (1)
 
Computer Science - Artificial Intelligence (1)
 
Quantum Physics (1)
 
Physics - Mesoscopic Systems and Quantum Hall Effect (1)
 
Computer Science - Computation and Language (1)

Publications Authored By A. Freitas

In this demo paper, we present a text simplification approach that is directed at improving the performance of state-of-the-art Open Relation Extraction (RE) systems. As syntactically complex sentences often pose a challenge for current Open RE approaches, we have developed a simplification framework that performs a pre-processing step by taking a single sentence as input and using a set of syntactic-based transformation rules to create a textual input that is easier to process for subsequently applied Open RE systems. Read More

This short paper outlines research results on object classification in images of Neoclassical furniture. The motivation was to provide an object recognition framework which is able to support the alignment of furniture images with a symbolic level model. A data-driven bottom-up research routine in the Neoclassica research framework is the main use-case. Read More

In this work we demonstrate theoretically how to use external laser field to control the population inversion of a single quantum dot exciton qubit in a nanocavity. We consider the Jaynes-Cummings model to describe the system, and the incoherent losses were take into account by using Lindblad operators. We have demonstrated how to prepare the initial state in a superposition of the exciton in the ground state and the cavity in a coherent state. Read More

TVID is a program for the numerical evaluation of general three-loop vacuum integrals with arbitrary masses. It consists of two parts. An algebraic module, implemented in Mathematica, performs the separation of the divergent pieces of the master integrals and identifies special cases. Read More

We report on progress in the calculation of 3-loop corrections to the deep-inelastic structure functions from massive quarks in the asymptotic region of large momentum transfer $Q^2$. Recently completed results allow us to obtain the $O(a_s^3)$ contributions to several heavy flavour Wilson coefficients which enter both polarised and unpolarised structure functions for lepton-nucleon scattering. In particular, we obtain the non-singlet contributions to the unpolarised structure functions $F_2(x,Q^2)$ and $x F_3(x,Q^2)$ and the polarised structure function $g_1(x,Q^2)$. Read More

2016Oct
Authors: D. de Florian1, C. Grojean2, F. Maltoni3, C. Mariotti4, A. Nikitenko5, M. Pieri6, P. Savard7, M. Schumacher8, R. Tanaka9, R. Aggleton10, M. Ahmad11, B. Allanach12, C. Anastasiou13, W. Astill14, S. Badger15, M. Badziak16, J. Baglio17, E. Bagnaschi18, A. Ballestrero19, A. Banfi20, D. Barducci21, M. Beckingham22, C. Becot23, G. Bélanger24, J. Bellm25, N. Belyaev26, F. U. Bernlochner27, C. Beskidt28, A. Biekötter29, F. Bishara30, W. Bizon31, N. E. Bomark32, M. Bonvini33, S. Borowka34, V. Bortolotto35, S. Boselli36, F. J. Botella37, R. Boughezal38, G. C. Branco39, J. Brehmer40, L. Brenner41, S. Bressler42, I. Brivio43, A. Broggio44, H. Brun45, G. Buchalla46, C. D. Burgard47, A. Calandri48, L. Caminada49, R. Caminal Armadans50, F. Campanario51, J. Campbell52, F. Caola53, C. M. Carloni Calame54, S. Carrazza55, A. Carvalho56, M. Casolino57, O. Cata58, A. Celis59, F. Cerutti60, N. Chanon61, M. Chen62, X. Chen63, B. Chokoufé Nejad64, N. Christensen65, M. Ciuchini66, R. Contino67, T. Corbett68, D. Curtin69, M. Dall'Osso70, A. David71, S. Dawson72, J. de Blas73, W. de Boer74, P. de Castro Manzano75, C. Degrande76, R. L. Delgado77, F. Demartin78, A. Denner79, B. Di Micco80, R. Di Nardo81, S. Dittmaier82, A. Dobado83, T. Dorigo84, F. A. Dreyer85, M. Dührssen86, C. Duhr87, F. Dulat88, K. Ecker89, K. Ellis90, U. Ellwanger91, C. Englert92, D. Espriu93, A. Falkowski94, L. Fayard95, R. Feger96, G. Ferrera97, A. Ferroglia98, N. Fidanza99, T. Figy100, M. Flechl101, D. Fontes102, S. Forte103, P. Francavilla104, E. Franco105, R. Frederix106, A. Freitas107, F. F. Freitas108, F. Frensch109, S. Frixione110, B. Fuks111, E. Furlan112, S. Gadatsch113, J. Gao114, Y. Gao115, M. V. Garzelli116, T. Gehrmann117, R. Gerosa118, M. Ghezzi119, D. Ghosh120, S. Gieseke121, D. Gillberg122, G. F. Giudice123, E. W. N. Glover124, F. Goertz125, D. Gonçalves126, J. Gonzalez-Fraile127, M. Gorbahn128, S. Gori129, C. A. Gottardo130, M. Gouzevitch131, P. Govoni132, D. Gray133, M. Grazzini134, N. Greiner135, A. Greljo136, J. Grigo137, A. V. Gritsan138, R. Gröber139, S. Guindon140, H. E. Haber141, C. Han142, T. Han143, R. Harlander144, M. A. Harrendorf145, H. B. Hartanto146, C. Hays147, S. Heinemeyer148, G. Heinrich149, M. Herrero150, F. Herzog151, B. Hespel152, V. Hirschi153, S. Hoeche154, S. Honeywell155, S. J. Huber156, C. Hugonie157, J. Huston158, A. Ilnicka159, G. Isidori160, B. Jäger161, M. Jaquier162, S. P. Jones163, A. Juste164, S. Kallweit165, A. Kaluza166, A. Kardos167, A. Karlberg168, Z. Kassabov169, N. Kauer170, D. I. Kazakov171, M. Kerner172, W. Kilian173, F. Kling174, K. Köneke175, R. Kogler176, R. Konoplich177, S. Kortner178, S. Kraml179, C. Krause180, F. Krauss181, M. Krawczyk182, A. Kulesza183, S. Kuttimalai184, R. Lane185, A. Lazopoulos186, G. Lee187, P. Lenzi188, I. M. Lewis189, Y. Li190, S. Liebler191, J. Lindert192, X. Liu193, Z. Liu194, F. J. Llanes-Estrada195, H. E. Logan196, D. Lopez-Val197, I. Low198, G. Luisoni199, P. Maierhöfer200, E. Maina201, B. Mansoulié202, H. Mantler203, M. Mantoani204, A. C. Marini205, V. I. Martinez Outschoorn206, S. Marzani207, D. Marzocca208, A. Massironi209, K. Mawatari210, J. Mazzitelli211, A. McCarn212, B. Mellado213, K. Melnikov214, S. B. Menari215, L. Merlo216, C. Meyer217, P. Milenovic218, K. Mimasu219, S. Mishima220, B. Mistlberger221, S. -O. Moch222, A. Mohammadi223, P. F. Monni224, G. Montagna225, M. Moreno Llácer226, N. Moretti227, S. Moretti228, L. Motyka229, A. Mück230, M. Mühlleitner231, S. Munir232, P. Musella233, P. Nadolsky234, D. Napoletano235, M. Nebot236, C. Neu237, M. Neubert238, R. Nevzorov239, O. Nicrosini240, J. Nielsen241, K. Nikolopoulos242, J. M. No243, C. O'Brien244, T. Ohl245, C. Oleari246, T. Orimoto247, D. Pagani248, C. E. Pandini249, A. Papaefstathiou250, A. S. Papanastasiou251, G. Passarino252, B. D. Pecjak253, M. Pelliccioni254, G. Perez255, L. Perrozzi256, F. Petriello257, G. Petrucciani258, E. Pianori259, F. Piccinini260, M. Pierini261, A. Pilkington262, S. Plätzer263, T. Plehn264, R. Podskubka265, C. T. Potter266, S. Pozzorini267, K. Prokofiev268, A. Pukhov269, I. Puljak270, M. Queitsch-Maitland271, J. Quevillon272, D. Rathlev273, M. Rauch274, E. Re275, M. N. Rebelo276, D. Rebuzzi277, L. Reina278, C. Reuschle279, J. Reuter280, M. Riembau281, F. Riva282, A. Rizzi283, T. Robens284, R. Röntsch285, J. Rojo286, J. C. Romão287, N. Rompotis288, J. Roskes289, R. Roth290, G. P. Salam291, R. Salerno292, R. Santos293, V. Sanz294, J. J. Sanz-Cillero295, H. Sargsyan296, U. Sarica297, P. Schichtel298, J. Schlenk299, T. Schmidt300, C. Schmitt301, M. Schönherr302, U. Schubert303, M. Schulze304, S. Sekula305, M. Sekulla306, E. Shabalina307, H. S. Shao308, J. Shelton309, C. H. Shepherd-Themistocleous310, S. Y. Shim311, F. Siegert312, A. Signer313, J. P. Silva314, L. Silvestrini315, M. Sjodahl316, P. Slavich317, M. Slawinska318, L. Soffi319, M. Spannowsky320, C. Speckner321, D. M. Sperka322, M. Spira323, O. Stål324, F. Staub325, T. Stebel326, T. Stefaniak327, M. Steinhauser328, I. W. Stewart329, M. J. Strassler330, J. Streicher331, D. M. Strom332, S. Su333, X. Sun334, F. J. Tackmann335, K. Tackmann336, A. M. Teixeira337, R. Teixeira de Lima338, V. Theeuwes339, R. Thorne340, D. Tommasini341, P. Torrielli342, M. Tosi343, F. Tramontano344, Z. Trócsányi345, M. Trott346, I. Tsinikos347, M. Ubiali348, P. Vanlaer349, W. Verkerke350, A. Vicini351, L. Viliani352, E. Vryonidou353, D. Wackeroth354, C. E. M. Wagner355, J. Wang356, S. Wayand357, G. Weiglein358, C. Weiss359, M. Wiesemann360, C. Williams361, J. Winter362, D. Winterbottom363, R. Wolf364, M. Xiao365, L. L. Yang366, R. Yohay367, S. P. Y. Yuen368, G. Zanderighi369, M. Zaro370, D. Zeppenfeld371, R. Ziegler372, T. Zirke373, J. Zupan374
Affiliations: 1eds., 2eds., 3eds., 4eds., 5eds., 6eds., 7eds., 8eds., 9eds., 10The LHC Higgs Cross Section Working Group, 11The LHC Higgs Cross Section Working Group, 12The LHC Higgs Cross Section Working Group, 13The LHC Higgs Cross Section Working Group, 14The LHC Higgs Cross Section Working Group, 15The LHC Higgs Cross Section Working Group, 16The LHC Higgs Cross Section Working Group, 17The LHC Higgs Cross Section Working Group, 18The LHC Higgs Cross Section Working Group, 19The LHC Higgs Cross Section Working Group, 20The LHC Higgs Cross Section Working Group, 21The LHC Higgs Cross Section Working Group, 22The LHC Higgs Cross Section Working Group, 23The LHC Higgs Cross Section Working Group, 24The LHC Higgs Cross Section Working Group, 25The LHC Higgs Cross Section Working Group, 26The LHC Higgs Cross Section Working Group, 27The LHC Higgs Cross Section Working Group, 28The LHC Higgs Cross Section Working Group, 29The LHC Higgs Cross Section Working Group, 30The LHC Higgs Cross 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This Report summarizes the results of the activities of the LHC Higgs Cross Section Working Group in the period 2014-2016. The main goal of the working group was to present the state-of-the-art of Higgs physics at the LHC, integrating all new results that have appeared in the last few years. The first part compiles the most up-to-date predictions of Higgs boson production cross sections and decay branching ratios, parton distribution functions, and off-shell Higgs boson production and interference effects. Read More

2016Oct
Affiliations: 1Univ. Hamburg, 2Univ. Pittsburgh, 3Univ. Katowice, 4Königs Wusterhausen and Univ. Katowice, 5Humboldt-Univ. zu Berlin

The one-loop corrections to the weak mixing angle $\sin^2\theta_{eff}^b$ derived from the $Z{\bar b}b$ vertex, are known since 1985. It took another 30 years to calculate the complete electroweak two-loop corrections to $\sin^2\theta_{eff}^b$. The main obstacle was the calculation of the O(700) bosonic two-loop vertex integrals with up to three mass scales, at $s=M_Z^2$. Read More

Three-loop vacuum integrals are an important building block for the calculation of a wide range of three-loop corrections. Until now, only results for integrals with one and two independent mass scales are known, but in the electroweak Standard Model and many extensions thereof, one often encounters more mass scales of comparable magnitude. For this reason, a numerical approach for the evaluation of three-loop vacuum integrals with arbitrary mass pattern is proposed here. Read More

We calculate the massive Wilson coefficients for the heavy flavor contributions to the non-singlet charged current deep-inelastic scattering structure functions $F_L^{W^+}(x,Q^2)-F_L^{W^-}(x,Q^2)$ and $F_2^{W^+}(x,Q^2)-F_2^{W^-}(x,Q^2)$ in the asymptotic region $Q^2 \gg m^2$ to 3-loop order in Quantum Chromodynamics (QCD) at general values of the Mellin variable $N$ and the momentum fraction $x$. Besides the heavy quark pair production, also the single heavy flavor excitation $s \rightarrow c$ contributes. Numerical results are presented for the charm quark contributions and consequences on the unpolarized Bjorken sum rule and Adler sum rule are discussed. Read More

We present recent results on newly calculated 2- and 3-loop contributions to the heavy quark parts of the structure functions in deep-inelastic scattering due to charm and bottom. Read More

Using integration by parts relations, Feynman integrals can be represented in terms of coupled systems of differential equations. In the following we suppose that the unknown Feynman integrals can be given in power series representations, and that sufficiently many initial values of the integrals are given. Then there exist algorithms that decide constructively if the coefficients of their power series representations can be given within the class of nested sums over hypergeometric products. Read More

The prediction of the effective electroweak mixing angle $\sin^2\theta_{\rm eff}^{\rm b}$ in the Standard Model at two-loop accuracy has now been completed by the first calculation of the bosonic two-loop corrections to the $Z{\bar b}b$ vertex. Numerical predictions are presented in the form of a fitting formula as function of $M_Z, M_W, M_H, m_t$ and $\Delta{\alpha}$, ${\alpha_{\rm s}}$. For central input values, we obtain a relative correction of $\Delta\kappa_{\rm b}^{(\alpha^2,\rm bos)} = -0. Read More

Effective Lagrangians are a useful tool for a data-driven approach to physics beyond the Standard Model at the LHC. However, for the new physics scales accessible at the LHC, the effective operator expansion is only relatively slowly converging at best. For tree-level processes, it has been found that the agreement between the effective Lagrangian and a range of UV-complete models depends sensitively on the appropriate definition of the matching. Read More

In this note we show how a generalized Pohozaev-Schoen identity due to Gover and Orsted \cite{GO} can be used to obtain some rigidity results for $V$-static manifolds and generalized solitons. We also obtain an Alexandrov type result for certain hypersurfaces in Einstein manifolds. Read More

The Tree Augmented Naive Bayes classifier is a type of probabilistic graphical model that can represent some feature dependencies. In this work, we propose a Hierarchical Redundancy Eliminated Tree Augmented Naive Bayes (HRE-TAN) algorithm, which considers removing the hierarchical redundancy during the classifier learning process, when coping with data containing hierarchically structured features. The experiments showed that HRE-TAN obtains significantly better predictive performance than the conventional Tree Augmented Naive Bayes classifier, and enhanced the robustness against imbalanced class distributions, in aging-related gene datasets with Gene Ontology terms used as features. Read More

We consider stationary stochastic processes arising from dynamical systems by evaluating a given observable along the orbits of the system. We focus on the extremal behaviour of the process, which is related to the entrance in certain regions of the phase space, which correspond to neighbourhoods of the maximal set $\mathcal M$, i.e. Read More

This book provides a comprehensive introduction for the study of extreme events in the context of dynamical systems. The introduction provides a broad overview of the interdisciplinary research area of extreme events, underlining its relevance for mathematics, natural sciences, engineering, and social sciences. After exploring the basics of the classical theory of extreme events, the book presents a careful examination of how a dynamical system can serve as a generator of stochastic processes, and explores in detail the relationship between the hitting and return time statistics of a dynamical system and the possibility of constructing extreme value laws for given observables. Read More

We study non-stationary stochastic processes arising from sequential dynamical systems built on maps with a neutral fixed points and prove the existence of Extreme Value Laws for such processes. We use an approach developed in \cite{FFV16}, where we generalised the theory of extreme values for non-stationary stochastic processes, mostly by weakening the uniform mixing condition that was previously used in this setting. The present work is an extension of our previous results for concatenations of uniformly expanding maps obtained in \cite{FFV16}. Read More

We calculate analytically the flavor non-singlet $O(\alpha_s^2)$ massive Wilson coefficients for the inclusive neutral current non-singlet structure functions $F_{1,2,L}^{ep}(x,Q^2)$ and $g_{1,2}^{ep}(x,Q^2)$ and charged current non-singlet structure functions $F_{1,2,3}^{\nu(\bar{\nu})p}(x,Q^2)$, at general virtualities $Q^2$ in the deep-inelastic region. Numerical results are presented. We illustrate the transition from low to large virtualities for these observables, which may be contrasted to basic assumptions made in the so-called variable flavor number scheme. Read More

Higher-order radiative corrections play an important role in precision studies of the electroweak and Higgs sector, as well as for the detailed understanding of large backgrounds to new physics searches. For corrections beyond the one-loop level and involving many independent mass and momentum scales, it is in general not possible to find analytic results, so that one needs to resort to numerical methods instead. This article presents an overview over a variety of numerical loop integration techniques, highlighting their range of applicability, suitability for automatization, and numerical precision and stability. Read More

Autonomous systems such as Unmanned Aerial Vehicles (UAVs) need to be able to recognise and track crowds of people, e.g. for rescuing and surveillance purposes. Read More

We present algorithms to solve coupled systems of linear differential equations, arising in the calculation of massive Feynman diagrams with local operator insertions at 3-loop order, which do {\it not} request special choices of bases. Here we assume that the desired solution has a power series representation and we seek for the coefficients in closed form. In particular, if the coefficients depend on a small parameter $\ep$ (the dimensional parameter), we assume that the coefficients themselves can be expanded in formal Laurent series w. Read More

Advances in digital sensors, digital data storage and communications have resulted in systems being capable of accumulating large collections of data. In the light of dealing with the challenges that massive data present, this work proposes solutions to inference and filtering problems within the Bayesian framework. Two novel Bayesian inference algorithms are developed for non-linear and non-Gaussian state space models, able to deal with large volumes of data (or observations). Read More

We develop and generalize the theory of extreme value for non-stationary stochastic processes, mostly by weakening the uniform mixing condition that was previously used in this setting. We apply our results to non-autonomous dynamical systems, in particular to sequential dynamical systems, both given by uniformly expanding maps and by maps with a neutral fixed point, and to a few classes of random dynamical systems. Some examples are presented and worked out in detail. Read More

At the LHC, an effective theory of the Higgs sector allows us to analyze kinematic distributions in addition to inclusive rates, although there is no clear hierarchy of scales. We systematically analyze how well dimension-6 operators describe LHC observables in comparison to the full theory, and in a range where the LHC will be sensitive. The key question is how the breakdown of the dimension-6 description affects Higgs measurements during the upcoming LHC run for weakly interacting models. Read More

Three loop ladder and $V$-topology diagrams contributing to the massive operator matrix element $A_{Qg}$ are calculated. The corresponding objects can all be expressed in terms of nested sums and recurrences depending on the Mellin variable $N$ and the dimensional parameter $\varepsilon$. Given these representations, the desired Laurent series expansions in $\varepsilon$ can be obtained with the help of our computer algebra toolbox. Read More

We calculate the massive Wilson coefficients for the heavy flavor contributions to the non-singlet charged current deep-inelastic scattering structure function $xF_3^{W^+}(x,Q^2)+xF_3^{W^-}(x,Q^2)$ in the asymptotic region $Q^2 \gg m^2$ to 3-loop order in Quantum Chromodynamics (QCD) at general values of the Mellin variable $N$ and the momentum fraction $x$. Besides the heavy quark pair production also the single heavy flavor excitation $s \rightarrow c$ contributes. Numerical results are presented for the charm quark contributions and consequences on the Gross-Llewellyn Smith sum rule are discussed. Read More

A Woods-Saxon equivalent to a double folding potential in the surface region is obtained for the heavy-ion scattering potential. The Woods-Saxon potential has fixed geometry and was applied as a bare potential in the analysis of experimental data of several systems. A new analytical formula for the position and height of the Coulomb barrier is presented, which reproduces the results obtained using double folding potentials. Read More

Target tracking faces the challenge in coping with large volumes of data which requires efficient methods for real time applications. The complexity considered in this paper is when there is a large number of measurements which are required to be processed at each time step. Sequential Markov chain Monte Carlo (MCMC) has been shown to be a promising approach to target tracking in complex environments, especially when dealing with clutter. Read More

In this paper we present a necessary and sufficient condition for constructing gradient almost Ricci solitons that are realized as warped products. This will be done through the O'Neill's formulas and a particular study of Riemannian manifolds satisfying a Ricci-Hessian type equation. Furthermore, we provide existence and rigidity results. Read More

We consider stochastic processes arising from dynamical systems simply by evaluating an observable function along the orbits of the system and study marked point processes associated to extremal observations of such time series corresponding to exceedances of high thresholds. Each exceedance is marked by a quantity intended to measure the severity of the exceedance. In particular, we consider marked point processes measuring the aggregate damage by adding all the excesses over the threshold that mark each exceedance (AOT) or simply by adding the largest excesses in a cluster of exceedances (POT). Read More

Fermion dark matter (DM) interacting with the standard model through a Higgs portal requires non-renormalizable operators, signaling the presence of new mediator states at the electroweak scale. Collider signatures that involve the mediators are a powerful tool to experimentally probe the Higgs portal interactions, providing complementary information to strong constraints set by direct DM detection searches. Indirect detection experiments are less sensitive to this scenario. Read More

In this paper we show that a gradient Ricci soliton warped product whose warping function reaches both maximum and minimum must be a Riemannian product. Moreover, we present a necessary and sufficient condition for constructing a gradient Ricci soliton warped product. As an application, we present a new class of complete expanding Ricci soliton warped product having as fiber an Einstein manifold with non-positive scalar curvature. Read More

We consider stochastic processes arising from dynamical systems by evaluating an observable function along the orbits of the system. The novelty is that we will consider observables achieving a global maximum value (possible infinite) at multiple points with special emphasis for the case where these maximal points are correlated or bound by belonging to the same orbit of a certain chosen point. These multiple correlated maxima can be seen as a new mechanism creating clustering. Read More

We calculate the massive flavor non-singlet Wilson coefficient for the heavy flavor contributions to the polarized structure function $g_1(x,Q^2)$ in the asymptotic region $Q^2 \gg m^2$ to 3-loop order in Quantum Chromodynamics at general values of the Mellin variable $N$ and the momentum fraction $x$, and derive heavy flavor corrections to the Bjorken sum-rule. Numerical results are presented for the charm quark contribution. Results on the structure function $g_2(x,Q^2)$ in the twist-2 approximation are also given. Read More

A comprehensive review of physics at an e+e- Linear Collider in the energy range of sqrt{s}=92 GeV--3 TeV is presented in view of recent and expected LHC results, experiments from low energy as well as astroparticle physics.The report focuses in particular on Higgs boson, Top quark and electroweak precision physics, but also discusses several models of beyond the Standard Model physics such as Supersymmetry, little Higgs models and extra gauge bosons. The connection to cosmology has been analyzed as well. Read More

We prove a dichotomy for Manneville-Pomeau maps $f:[0,1]\to [0, 1]$: given any point $\zeta\in [0,1]$, either the Rare Events Point Processes (REPP), counting the number of exceedances, which correspond to entrances in balls around $\zeta$, converge in distribution to a Poisson process; or the point $\zeta$ is periodic and the REPP converge in distribution to a compound Poisson process. Our method is to use inducing techniques for all points except 0 and its preimages, extending a recent result by Haydn, Winterberg and Zweim\"uller, and then to deal with the remaining points separately. The preimages of 0 are dealt with applying recent results by Ayta\c{c}, Freitas and Vaienti. Read More

We consider the extreme value theory of a hyperbolic toral automorphism $T: \mathbb{T}^2 \to \mathbb{T}^2$ showing that if a H\"older observation $\phi$ which is a function of a Euclidean-type distance to a non-periodic point $\zeta$ is strictly maximized at $\zeta$ then the corresponding time series $\{\phi\circ T^i\}$ exhibits extreme value statistics corresponding to an iid sequence of random variables with the same distribution function as $\phi$ and with extremal index one. If however $\phi$ is strictly maximized at a periodic point $q$ then the corresponding time-series exhibits extreme value statistics corresponding to an iid sequence of random variables with the same distribution function as $\phi$ but with extremal index not equal to one. We give a formula for the extremal index (which depends upon the metric used and the period of $q$). Read More

The 3-loop heavy flavor corrections to deep-inelastic scattering are essential for consistent next-to-next-to-leading order QCD analyses. We report on the present status of the calculation of these corrections at large virtualities $Q^2$. We also describe a series of mathematical, computer-algebraic and combinatorial methods and special function spaces, needed to perform these calculations. Read More

In this letter, we apply the mixed-bond spin-1 Ising model to the study of the magnetic properties of Fe-Mn alloys in the $\alpha$ phase by employing the effective field theory (EFT). Here, we suggest a new approach to the ferromagnetic coupling between nearest neighbours Fe-Fe that depends on the ratio between the Mn-Mn coupling and Fe-Mn coupling and of second power of the Mn concentration $q$ in contrast with linear dependence proposed in the other papers. Also, we propose a new probability distribution for binary alloys with mixed-bonds based on the distribution for ternary alloys and we obtain a very good agreement for all considered values of $q$ in $T-q$ plane, in particular for $q>0. Read More

Many new-physics models, especially those with a color-triplet top-quark partner, contain a heavy color-octet state. The "naturalness" argument for a light Higgs boson requires that the color-octet state be not much heavier than a TeV, and thus it can be pair-produced with large cross sections at high-energy hadron colliders. It may decay preferentially to a top quark plus a top-partner, which subsequently decays to a top quark plus a color-singlet state. Read More

We present our most recent results on the calculation of the heavy flavor contributions to deep-inelastic scattering at 3-loop order in the large $Q^2$ limit, where the heavy flavor Wilson coefficients are known to factorize into light flavor Wilson coefficients and massive operator matrix elements. We describe the different techniques employed for the calculation and show the results in the case of the heavy flavor non-singlet and pure singlet contributions to the structure function $F_2(x,Q^2)$. Read More

Contributions to heavy flavour transition matrix elements in the variable flavour number scheme are considered at 3-loop order. In particular a calculation of the diagrams with two equal masses that contribute to the massive operator matrix element $A_{gg,Q}^{(3)}$ is performed. In the Mellin space result one finds finite nested binomial sums. Read More

The pure singlet asymptotic heavy flavor corrections to 3-loop order for the deep-inelastic scattering structure function $F_2(x,Q^2)$ and the corresponding transition matrix element $A_{Qq}^{(3), \sf PS}$ in the variable flavor number scheme are computed. In Mellin-$N$ space these inclusive quantities depend on generalized harmonic sums. We also recalculate the complete 3-loop pure singlet anomalous dimension for the first time. Read More

Dark matter particles that couple primarily to leptons are only weakly constrained by data from direct detection experiments and the LHC. However, models of this kind necessarily generate effective four-lepton contact interactions at the tree- or one-loop-level, which can be probed in $e^+e^-$ collisions. In this work, precise data from LEP is used to derive limits on leptophilic dark matter in a model-independent framework. Read More

We report on our latest results in the calculation of the three-loop heavy flavor contributions to the Wilson coefficients in deep-inelastic scattering in the asymptotic region $Q^2 \gg m^2$. We discuss the different methods used to compute the required operator matrix elements and the corresponding Feynman integrals. These methods very recently allowed us to obtain a series of new operator matrix elements and Wilson coefficients like the flavor non-singlet and pure singlet Wilson coefficients. Read More

We consider gluonic contributions to the heavy flavor Wilson coefficients at 3-loop order in QCD with two heavy quark lines in the asymptotic region $Q^2 \gg m_{1(2)}^2$. Here we report on the complete result in the case of two equal masses $m_1 = m_2$ for the massive operator matrix element $A_{gg,Q}^{(3)}$, which contributes to the corresponding heavy flavor transition matrix element in the variable flavor number scheme. Nested finite binomial sums and iterated integrals over square-root valued alphabets emerge in the result for this quantity in $N$ and $x$-space, respectively. Read More

We outline a new algorithm to solve coupled systems of differential equations in one continuous variable $x$ (resp. coupled difference equations in one discrete variable $N$) depending on a small parameter $\epsilon$: given such a system and given sufficiently many initial values, we can determine the first coefficients of the Laurent-series solutions in $\epsilon$ if they are expressible in terms of indefinite nested sums and products. This systematic approach is based on symbolic summation algorithms in the context of difference rings/fields and uncoupling algorithms. Read More

The current status of electroweak precision tests after the discovery of the Higgs boson is reviewed, both from a phenomenological and from a theoretical point of view. Predictions for all Z-pole quantities are now available at the complete fermionic two-loop order within the Standard Model. The calculation of these corrections is described based on the example of the total Z-boson width. Read More