419 research outputs found

    Normal origamis of Mumford curves

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    An origami (also known as square-tiled surface) is a Riemann surface covering a torus with at most one branch point. Lifting two generators of the fundamental group of the punctured torus decomposes the surface into finitely many unit squares. By varying the complex structure of the torus one obtains easily accessible examples of Teichm\"uller curves in the moduli space of Riemann surfaces. The p-adic analogues of Riemann surfaces are Mumford curves. A p-adic origami is defined as a covering of Mumford curves with at most one branch point, where the bottom curve has genus one. A classification of all normal non-trivial p-adic origamis is presented and used to calculate some invariants. These can be used to describe p-adic origamis in terms of glueing squares.Comment: 21 pages, to appear in manuscripta mathematica (Springer

    Next-to-Leading Order QCD Corrections to the Lifetime Difference of BsB_s Mesons

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    We compute the QCD corrections to the decay rate difference in the Bs−BˉsB_s-\bar B_s system, ΔΓBs\Delta\Gamma_{B_s}, in the next-to-leading logarithmic approximation using the heavy quark expansion approach. Going beyond leading order in QCD is essential to obtain a proper matching of the Wilson coefficients to the matrix elements of local operators from lattice gauge theory. The lifetime difference is reduced considerably at next-to-leading order. We find (ΔΓ/Γ)Bs=(fBs/210MeV)2[0.006B(mb)+0.150BS(mb)−0.063](\Delta\Gamma/\Gamma)_{B_s}=(f_{B_s}/210 MeV)^2 [0.006 B(m_b)+0.150 B_S(m_b)-0.063] in terms of the bag parameters B,BSB, B_S in the NDR scheme. As a further application of our analysis we also derive the next-to-leading order result for the mixing-induced CP asymmetry in inclusive b→uuˉdb\to u\bar ud decays, which measures sin⁥2α\sin 2\alpha.Comment: 14 pages, LaTeX, 1 figure; minor modifications of the text, improved discussion of eq. (35), all results unchange

    A series of coverings of the regular n-gon

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    We define an infinite series of translation coverings of Veech's double-n-gon for odd n greater or equal to 5 which share the same Veech group. Additionally we give an infinite series of translation coverings with constant Veech group of a regular n-gon for even n greater or equal to 8. These families give rise to explicit examples of infinite translation surfaces with lattice Veech group.Comment: A missing case in step 1 in the proof of Thm. 1 b was added. (To appear in Geometriae Dedicata.

    Two-loop matching of the dipole operators for b→sγb \to s \gamma and b→sgluonb \to s gluon

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    The order αs\alpha_s corrections to the Wilson coefficients of the dipole operators (O7,O8O_7,O_8) at the matching scale ÎŒ=mW\mu =m_W are a crucial ingredient for a complete next- to-leading logarithmic calculation of the branching ratio for b→sÎłb \to s \gamma. Given the phenomenological relevance and the fact that this two-loop calculation has been done so far only by one group [1], we present a detailed re-calculation using a different method. Our results are in complete agreement with those in ref. [1].Comment: 24 pages, latex, 6 figures include

    Estimate of B(K -> pi nu nubar) from Standard Model fits to lambda_t

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    We estimate B(K -> pi nu nubar) in the context of the Standard Model by fitting for lambda_t = Vtd x V*ts of the `kaon unitarity triangle' relation. We fit data from epsilon_K, the CP-violating parameter describing K-mixing, and a_{psi K}, the CP-violating asymmetry in B -> J/psi K decays. Our estimate is independent of the CKM matrix element Vcb and of the ratio of Bs to Bd mixing frequencies. The measured value of B(K+ -> pi+ nu nubar) can be compared both to this estimate and to predictions made from the ratio of B mixing frequencies.Comment: 8 pages, including 6 figures. v3 includes an expanded discussion of correlations between SM inputs to the lambda_t fit, clarifies the discussion of the independence of this result from the ratio of B mixing frequencies, includes minor updates to the values of SM input parameters, and includes some new and some updated reference

    CP Violation and Flavour Mixing in the Standard Model -- 1996 Update

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    We review and update the constraints on the parameters of the quark flavour mixing matrix VCKMV_{CKM} in the standard model and estimate the resulting CP asymmetries in BB decays, taking into account recent experimental and theoretical developments. With the updated CKM matrix we present the currently-allowed range of the ratios ∣Vtd/Vts∣|V_{td}/V_{ts}| and ∣Vtd/Vub∣|V_{td}/V_{ub}|, as well as the standard model predictions for the \bsbsbar\ mixing parameter \xs (or, equivalently, \delms) and the quantities sin⁥2α\sin 2\alpha, sin⁥2ÎČ\sin 2\beta and sin⁥2Îł\sin^2\gamma, which characterize the CP-asymmetries in BB-decays.Comment: 23 pages, LaTeX, 9 figures; updated to include latest experimental results on Bs-Bs(bar) mixin

    Clinical Evaluation of a Telemedically Linked Intraoral Drug Delivery System

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    The miniaturized intraoral drug delivery system BuccalDose is composed of a replaceable cartridge which is worn in a removable prosthesis and an external base station for telemedical therapy monitoring. The system has now been tested for the first time with Parkinson\u2019s disease (PD) patients. The study evaluated the usability of the entire system, the functionality of the telemedical transmission path and the functionality of the cartridge, which uses an osmotic pumping principle to release a liquid drug formulation to the buccal mucosa. The BuccalDose system was generally considered to be easy to handle, even with movement disorders, up to a mild-moderate disease stage. In addition, the obtained in vivo release rates of the cartridges confirmed the previously achieved in vitro release behavior

    Three-Loop Anomalous Dimension of the Heavy Quark Pair Production Current in Non-Relativistic QCD

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    The three-loop non-mixing contributions to the anomalous dimension of the leading order quark pair production current in non-relativistic QCD are computed. It is demonstrated that the renormalization procedure can only be carried out consistently if the dynamics of both soft and the ultrasoft degrees of freedom is present for all scales below the heavy quark mass, and if the soft and ultrasoft renormalization scales are always correlated.Comment: 19 pages, revtex, 5 postscript figures include

    An updated analysis of eps'/eps in the standard model with hadronic matrix elements from the chiral quark model

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    We discuss the theoretical and experimental status of the CP violating ratio eps'/eps. We revise our 1997 standard-model estimate-based on hadronic matrix elements computed in the chiral quark model up to O(p^4) in the chiral expansion-by including an improved statistical analysis of the uncertainties and updated determination of the Cabibbo-Kobayashi-Maskawa elements and other short-distance parameters. Using normal distributions for the experimental input data we find Re eps'/eps = (2.2 \pm 0.8) x 10^{-3}, whereas a flat scanning gives 0.9 x 10^{-3} < Re eps'/eps < 4.8 x 10^{-3}. Both results are in agreement with the current experimental data. The key element in our estimate is, as before, the fit of the Delta I=1/2 rule, which allows us to absorb most of the theoretical uncertainties in the determination of the model-dependent parameters in the hadronic matrix elements. Our semi-phenomenological approach leads to numerical stability against variations of the renormalization scale and scheme dependence of the short- and long-distance components. The same dynamical mechanism at work in the selection rule also explains the larger value obtained for \ratio with respect to other estimates. A coherent picture of K -> pi pi decays is thus provided.Comment: 15 pages, 11 figures, RevTeX, discussion updated, refs adde
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