Łacina: powrót do przyszłości? Kilka refleksji nad łaciną i kwestiami literackimi w epoce digitalizacji

Vogt-Spira Gregor, Latin: Back to the Future? Some Reflections on Latin and Literacy in the Digital Age (Łacina: powrót do przyszłości? Kilka refleksji nad łaciną i kwestiami literackimi w epoce digitalizacji).This paper argues that Latin meets the challenges of this day and age so that its preservation actually has a well-founded place within European countries and societies. The argumentation starts by the observation that Latin gathers a number of additional values as an alterity training, a cognitive training, a linguistic training or a socially integrative effect, values, which are remarkably not bound to a specific culture. Above all, digitization and the modern cybernetic world is seen as a central challenge, digitization with its enormous quantitative increase in reading and writing activity also transforms the user profile in a way that complements it, a factor to which educational institutions have yet to come up with a conclusive response. Referring to this development, Latin has the particular significance of imparting the standards of an elaborate written form into the composition and decoding of texts. Furthermore, Latinity itself is considered to be one of the key factors that have shaped modern-day Europe, and the later Latin-language literature is seen to be a comprehensive component of each country’s respective national literature and culture. To conclude, the ancient European custom is brought into focus that, practically, antiquity serves as a vehicle for legitimizing modernization.Vogt-Spira Gregor, Latin: Back to the Future? Some Reflections on Latin and Literacy in the Digital Age (Łacina: powrót do przyszłości? Kilka refleksji nad łaciną i kwestiami literackimi w epoce digitalizacji).This paper argues that Latin meets the challenges of this day and age so that its preservation actually has a well-founded place within European countries and societies. The argumentation starts by the observation that Latin gathers a number of additional values as an alterity training, a cognitive training, a linguistic training or a socially integrative effect, values, which are remarkably not bound to a specific culture. Above all, digitization and the modern cybernetic world is seen as a central challenge, digitization with its enormous quantitative increase in reading and writing activity also transforms the user profile in a way that complements it, a factor to which educational institutions have yet to come up with a conclusive response. Referring to this development, Latin has the particular significance of imparting the standards of an elaborate written form into the composition and decoding of texts. Furthermore, Latinity itself is considered to be one of the key factors that have shaped modern-day Europe, and the later Latin-language literature is seen to be a comprehensive component of each country’s respective national literature and culture. To conclude, the ancient European custom is brought into focus that, practically, antiquity serves as a vehicle for legitimizing modernization

Higher-Order Soft Corrections to Lepton Pair and Higgs Boson Production

Utilizing recent three-loop results on the quark and gluon splitting functions and form factors, we derive the complete threshold-enhanced third-order (N^3LO) QCD corrections to the total cross sections for the production of lepton pairs and the Higgs boson in hadron collisions. These results, for the latter case obtained in the heavy top-quark limit, are employed to extend the threshold resummation for these processes to the fourth logarithmic order. We investigate the numerical impact of the higher-order corrections for Higgs boson production at the Tevatron and the LHC. Our results, suitably treated in Mellin N-space, provide a sufficiently accurate approximation to the full N^3LO contributions. Corrections of about 5% at the LHC and 10% at the Tevatron are found for typical Higgs masses. The N^3LO predictions exhibit a considerably reduced dependence on the renormalization scale with, for the first time, stationary points close to the Higgs mass.Comment: 11 pages, LaTeX, 2 eps-figures. Slightly revised text of journal version, with two new references. Misprint in eq. (13) correcte

On Sudakov and Soft resummations in QCD

In this article we extract soft distribution functions for Drell-Yan and Higgs production processes using mass factorisation theorem and the perturbative results that are known upto three loop level. We find that they are maximally non-abelien. We show that these functions satisfy Sudakov type integro differential equations. The formal solutions to such equations and also to the mass factorisation kernel upto four loop level are presented. Using the soft distribution function extracted from Drell-Yan production, we show how the soft plus virtual cross section for the Higgs production can be obtained. We determine the threshold resummation exponents upto three loop using the soft distribution function.Comment: 22 pages, no figures. Discussion on soft plus virtual part of Higgs production and DIS adde

The structure of large logarithmic corrections at small transverse momentum in hadronic collisions

We consider the region of small transverse momenta in the production of high-mass systems in hadronic collisions. By using the current knowledge on the infrared behaviour of tree-level and one-loop QCD amplitudes at O(alpha_s^2), we analytically compute the general form of the logarithmically-enhanced contributions up to next-to-next-to-leading logarithmic accuracy. By comparing the results with q_T-resummation formulae we extract the coefficients that control the resummation of the large logarithmic contributions for both quark and gluon channels. Our results show that within the conventional resummation formalism the Sudakov form factor is actually process-dependent.Comment: 38 pages, 2 figures include

QCD threshold corrections to di-lepton and Higgs rapidity distributions beyond N2{}^2LO

We present threshold enhanced QCD corrections to rapidity distributions of di-leptons in the Drell-Yan process and of Higgs particles in both gluon fusion and bottom quark annihilation processes using Sudakov resummed cross sections. We have used renormalisation group invariance and the mass factorisation theorem that these hard scattering cross sections satisfy as well as Sudakov resummation of QCD amplitudes. We find that these higher order threshold QCD corrections stabilise the theoretical predictions under scale variations.Comment: 1+34 pages, four plot

Higgs production through gluon fusion: updated cross sections at the Tevatron and the LHC

We present updated predictions for the total cross section for Higgs boson production by gluon--gluon fusion in hadron collisions. Our calculation includes the most advanced theoretical information available at present for this observable: soft-gluon resummation up to next-to-next-to-leading logarithmic accuracy, the exact treatment of the bottom-quark contribution up to next-to-leading order, and two-loop electroweak effects. We adopt the most recent parametrization of parton distribution functions at next-to-next-to-leading order, and we evaluate the corresponding uncertainties. In comparison with our previous central predictions, at the Tevatron the difference ranges from +9% for m_H=115 GeV to -9% for m_H=200 GeV. At the LHC the cross section is instead significantly increased. The effect goes from +30% for m_H=115 GeV to +9% for m_H=300 GeV, and is mostly due to the new parton distribution functions. We also provide new predictions for the LHC at sqrt{s}=10 TeV.Comment: 7 pages, no figures, references adde

The q_T spectrum of the Higgs boson at the LHC in QCD perturbation theory

We consider the transverse-momentum (q_T) distribution of Higgs bosons produced at hadron colliders. We use a formalism that uniformly treats both the small-q_T and large-q_T regions in QCD perturbation theory. At small q_T (q_T << M_H, M_H being the mass of the Higgs boson), we implement an all-order resummation of logarithmically-enhanced contributions up to next-to-next-to-leading logarithmic accuracy. At large q_T (q_T \gtap M_H), we use fixed-order perturbation theory up to next-to-leading order. The resummed and fixed-order approaches are consistently matched by avoiding double-counting in the intermediate-q_T region. In this region, the introduction of unjustified higher-order terms is avoided by imposing unitarity constraints, so that the integral of the q_T spectrum exactly reproduces the perturbative result for the total cross section up to next-to-next-to-leading order. Numerical results at the LHC are presented. These show that the main features of the q_T distribution are quite stable with respect to perturbative QCD uncertainties.Comment: 9 pages, 2 postscript figure

Soft and virtual corrections to pp -> H + X at NNLO

The contributions of virtual corrections and soft gluon emission to the inclusive Higgs production cross section pp -> H + X are computed at next-to-next-to-leading order in the heavy top quark limit. We show that this part of the total cross section is well behaved in the sense of perturbative convergence, with the NNLO corrections amounting to an enhancement of the NLO cross section by \sim 5% for LHC and 10-20% for the Tevatron. We compare our results with an existing estimate of the full NNLO effects and argue that an analytic evaluation of the hard scattering contributions is needed.Comment: 16 pages, 7 figures, 16 ps files embedded with epsf. Minor modifications: references and note added, results unchange

Threshold resummation for gaugino pair production at hadron colliders

We present a complete analysis of threshold resummation effects on direct light and heavy gaugino pair production at the Tevatron and the LHC. Based on a new perturbative calculation at next-to-leading order of SUSY-QCD, which includes also squark mixing effects, we resum soft gluon radiation in the threshold region at leading and next-to-leading logarithmic accuracy, retaining at the same time the full SUSY-QCD corrections in the finite coefficient function. This allows us to correctly match the resummed to the perturbative cross section. Universal subleading logarithms are resummed in full matrix form. We find that threshold resummation slightly increases and considerably stabilizes the invariant mass spectra and total cross sections with respect to the next-to-leading order calculation. For future reference, we present total cross sections and their theoretical errors in tabular form for several commonly used SUSY benchmark points, gaugino pairs, and hadron collider energies.Comment: 28 pages, 5 tables, 17 figure