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We discuss some key issues associated with duality-violating and non-perturbative OPE contributions to the theoretical representations of light quark current-current two-point functions and relevant to precision determinations of alpha_s…

High Energy Physics - Phenomenology · Physics 2015-06-03 D. Boito , O. Cata , M. Golterman , M. Jamin , K. Maltman , J. Osborne , S. Peris

We reanalyse hyperon beta decay data to extract the corresponding F and D values. We show that flavour symmetry breaking effects lead naturally to a reduction of the $F/D$ ratio. For proton and neutron our analyses suggests $F/D = 0.49 \pm…

High Energy Physics - Phenomenology · Physics 2009-10-28 B. ~Ehrnsperger , A. ~Schäfer

This paper describes a measurement of the Michel parameters, \eta, \rho, \xi, \xi\delta, and the average \nu_{\tau} helicity, h_{\nu_{\tau}}, in tau lepton decays together with the first measurement of the tensor coupling in the weak…

High Energy Physics - Experiment · Physics 2010-05-28 The DELPHI Collaboration , P. Abreu

We discuss a new class of expansions in perturbative QCD, based on the technique of conformal mappings of the Borel plane, and apply them for the determination of $\alpha_s$ from the hadronic decays of the $\tau$ lepton. Using the expansion…

High Energy Physics - Phenomenology · Physics 2011-09-20 Irinel Caprini , Jan Fischer

We study the simultaneous determination of m_s and V_us from flavor-breaking hadronic tau decay sum rules using weights designed to bring under better control problems associated with the slow convergence of the relevant D=2 OPE series.…

High Energy Physics - Phenomenology · Physics 2008-11-26 K. Maltman , C. E. Wolfe

We use ALEPH data on hadronic $\tau$ decays in order to calculate Euclidean coordinate space correlation functions in the vector and axial-vector channels. The linear combination $V-A$ receives no perturbative contribution and is…

High Energy Physics - Phenomenology · Physics 2009-10-31 Thomas Schaefer , Edward Shuryak

Tau-based finite-energy sum-rule (FESR) analyses often assume that scales $s_0\sim m_\tau^2$ are large enough that (i) integrated duality violations (DVs) can be neglected, and (ii) contributions from non-perturbative OPE condensates of…

High Energy Physics - Phenomenology · Physics 2021-12-14 Diogo Boito , Maarten Golterman , Kim Maltman , Santiago Peris

Posterior tempering reduces the influence of the likelihood in the calculation of the posterior by raising the likelihood to a fractional power $\alpha$. The resulting power posterior - also known as an $\alpha$-posterior or fractional…

Statistics Theory · Mathematics 2026-01-15 Ruchira Ray , Marco Avella Medina , Cynthia Rush

Using only independent high-scale OPE input, we investigate QCD sum rule constraints on two currently incompatible versions of the I=1 vector spectral function, one obtained from electroproduction data, the other from hadronic tau decay…

High Energy Physics - Phenomenology · Physics 2016-09-06 Kim Maltman

We consider a renewal process \tau={\tau_0,\tau_1,...} on the integers, where the law of \tau_i-\tau_{i-1} has a power-like tail P(\tau_i-\tau_{i-1}=n)=n^{-(\alpha+1)}L(n) with \alpha\ge0 and L(.) slowly varying. We then assign a random,…

Mathematical Physics · Physics 2008-04-28 Fabio Lucio Toninelli

Recent ALEPH/OPAL data on the V-A spectral functions from hadronic tau decays are used for fixing the QCD continuum threshold at which the first and second Weinberg sum rules should be satisfied in the chiral limit, and for predicting the…

High Energy Physics - Phenomenology · Physics 2009-10-31 Stephan Narison

Full LEP-I data collected by the ALEPH detector during 1991-1995 running are analyzed in order to measure the $\tau$ decay branching fractions. The analysis follows the global method used in the published study based on 1991-1993 data, with…

High Energy Physics - Experiment · Physics 2011-05-18 Michel Davier , Changzheng Yuan

The QCD corrections to the R_{\tau}^{12} moment of the invariant mass distribution in hadronic decays of the tau lepton are discussed. The next-to-next-to-leading order prediction is shown to be stable with respect to change of the…

High Energy Physics - Phenomenology · Physics 2007-05-23 Piotr A. Raczka

Analytic formulae for the one-loop order QCD corrections to the differential width of the semileptonic b decay are given with the tau polarization taken into account. Thence the polarization of tau is expressed by its energy and the…

High Energy Physics - Phenomenology · Physics 2009-10-30 M. Jezabek , P. Urban

We discuss invariance principles for autoregressive tempered fractionally integrated moving averages in $\alpha$-stable $(1< \alpha \le 2)$ i.i.d. innovations and related tempered linear processes with vanishing tempering parameter $\lambda…

Probability · Mathematics 2017-03-08 Farzad Sabzikar , Donatas Surgailis

Starting from the divergent character of the perturbative expansions in QCD and using the technique of series acceleration by the conformal mappings of the Borel plane, I define a novel, non-power perturbative expansion for the Adler…

High Energy Physics - Phenomenology · Physics 2015-06-16 I. Caprini

The $b \to c$ semileptonic sum rules provide relations between the decay rates of $B \to D^{(*)} \tau\bar\nu$ and $\Lambda_b \to \Lambda_c \tau\bar\nu$. Starting from the heavy quark and zero-recoil limits, we revisit the derivation of the…

High Energy Physics - Phenomenology · Physics 2026-01-16 Motoi Endo , Syuhei Iguro , Satoshi Mishima , Ryoutaro Watanabe

We have determined the strong coupling alpha-s from a comprehensive study of energy-energy correlations (EEC) and their asymmetry (AEEC) in hadronic decays of Z0 bosons collected by the SLD experiment at SLAC. The data were compared with…

High Energy Physics - Experiment · Physics 2009-09-25 K. Abe

We consider the two-fold expansion in powers of the conformal anomaly and of the strong coupling $\alpha_s$ for the non-singlet contributions to Adler $D$-function and Bjorken polarized sum rule calculated previously in the $\MSbar$-scheme…

High Energy Physics - Phenomenology · Physics 2022-05-25 I. O. Goriachuk , A. L. Kataev , V. S. Molokoedov

We apply an analytic description to the inclusive decay of the $\tau$ lepton. We argue that this method gives not only a self-consistent description of the process both in the timelike region by using the initial expression for $R_\tau$ and…

High Energy Physics - Phenomenology · Physics 2011-09-13 K. A. Milton , I. L. Solovtsov , O. P. Solovtsova , V. I. Yasnov
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