Bilocal expansion of the Borel amplitude and the hadronic tau decay width

The singular part of Borel transform of a QCD amplitude near the infrared renormalon can be expanded in terms of higher order Wilson coefficients of the operators associated with the renormalon. In this paper we observe that this expansion gives nontrivial constraints on the Borel amplitude that can be used to improve the accuracy of the ordinary perturbative expansion of the Borel amplitude. In particular, we consider the Borel transform of the Adler function and its expansion around the first infrared renormalon due to the gluon condensate. Using the next-to-leading order Wilson coefficient of the gluon condensate operator, we obtain an exact constraint on the Borel amplitude at the first IR renormalon. We then extrapolate, using judiciously chosen conformal transformations and Pade approximants, the ordinary perturbative expansion of the Borel amplitude in such a way that this constraint is satisfied. This procedure allows us to predict the $O(\alpha_s^4)$ coefficient of the Adler function, which gives a result consistent with the estimate by Kataev and Starshenko using a completely different method. We then apply this improved Borel amplitude to the tau decay width, and obtain the strong coupling constant $\alpha_s(M_Z) =0.1193 \pm 0.0007_{exp.} \pm 0.0010_{EW+CKM} \pm 0.0009_{meth.} \pm 0.0003_{evol.}$. We then compare this result with those of other resummation methods.Comment: 30 pages, 4 eps-figures, revtex; version as appears in PRD; no major changes; more careful rounding of some number

Sex and the Single Cell. II. There Is a Time and Place for Sex

In both male and female Drosophila, only a subset of cells have the potential to sexually differentiate, making both males and females mosaics of sexually differentiated and sexually undifferentiated cells

A compact and cost-effective hard X-ray free-electron laser driven by a high-brightness and low-energy electron beam

We present the first lasing results of SwissFEL, a hard X-ray free-electron laser (FEL) that recently came into operation at the Paul Scherrer Institute in Switzerland. SwissFEL is a very stable, compact and cost-effective X-ray FEL facility driven by a low-energy and ultra-low-emittance electron beam travelling through short-period undulators. It delivers stable hard X-ray FEL radiation at 1-Å wavelength with pulse energies of more than 500 μJ, pulse durations of ~30 fs (root mean square) and spectral bandwidth below the per-mil level. Using special configurations, we have produced pulses shorter than 1 fs and, in a different set-up, broadband radiation with an unprecedented bandwidth of ~2%. The extremely small emittance demonstrated at SwissFEL paves the way for even more compact and affordable hard X-ray FELs, potentially boosting the number of facilities worldwide and thereby expanding the population of the scientific community that has access to X-ray FEL radiation

Wirtschaftlichkeit des Einsatzes von nachwachsenden Rohstoffen als Co-Substrate zur Erzeugung von Biogas Abschlussbericht

Economic, ecological and process data of agricultural biogas plants were compiled and analysed, aiming at an economic validation of the applications of renewable fuels as energy sources for co-processing in agricultural biogas plants.Im Rahmen dieser Studie werden die zur oekonomischen, oekologischen und verfahrenstechnischen Bewertung der Energiegewinnung in landwirtschaftlichen Biogasanlagen derzeit vorhandenen Erkenntnisse erarbeitet und zusammengestellt. Ziel ist die oekonomische Validierung der Einsatzmoeglichkeiten unterschiedlicher nachwachsender Rohstoffe als Energietraeger zur Mitverarbeitung in landwirtschaftlichen Biogasanlagen. (orig.)SIGLEAvailable from TIB Hannover: F02B1741 / FIZ - Fachinformationszzentrum Karlsruhe / TIB - Technische InformationsbibliothekFachagentur Nachwachsende Rohstoffe e.V., Guelzow (Germany)DEGerman