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We perform a precise extraction of the QCD coupling at the $\tau$-mass scale, $\alpha_s(m_\tau)$, from a new vector isovector spectral function which combines ALEPH and OPAL distributions for the dominant channels, $\tau\to\pi…

High Energy Physics - Phenomenology · Physics 2021-12-13 Diogo Boito , Maarten Golterman , Kim Maltman , Santiago Peris , Marcus V. Rodrigues , Wilder Schaaf

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

The total $\tau$ hadronic width can be accurately calculated using analyticity and the operator product expansion. The theoretical analysis of this observable is updated to include all available perturbative and non-perturbative…

High Energy Physics - Phenomenology · Physics 2007-05-23 A. Pich

We study the 2D coupled wave-Klein-Gordon systems with semi-linear null nonlinearities $Q_0$ and $Q_{\alpha\beta}$. The main result states that the solution to the 2D coupled systems exists globally provided that the initial data are small…

Analysis of PDEs · Mathematics 2022-02-17 Shijie Dong , Yue Ma , Xu Yuan

Hadronic decays of the $\tau$ lepton provide a clean source to study hadron dynamics in an energy regime dominated by resonances, with the interesting information captured in the spectral functions. Recent results on exclusive channels are…

High Energy Physics - Experiment · Physics 2007-05-23 Michel Davier

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

In the standard model (SM) of electroweak interactions, CP noninvariance arises from the nonzero phase in the CKM matrix. Its contribution to the quark electric dipole moment (EDM) vanishes surprisingly at two loop order. This makes the…

High Energy Physics - Phenomenology · Physics 2014-11-17 Yi Liao , Xiaoyuan Li

QCD sum rules are based on the Operator Product Expansion of current correlators, and on QCD-hadron duality. An extension of this program to finite temperature is discussed. This allows for a study of deconfinement and chiral-symmetry…

High Energy Physics - Phenomenology · Physics 2010-11-01 C. A. Dominguez

The two dimensional Hubbard model with a single spin-up electron interacting with a finite density of spin-down electrons is studied using the quantum Monte Carlotechnique, a new conjugate gradient method for the evaluation of the Edwards…

Condensed Matter · Physics 2009-10-22 Sandro Sorella

Hadronic tau decays offer the possibility of determining the strong coupling alpha_s at relatively low energy. Precisely for this reason, however, good control over the perturbative QCD corrections, the non-perturbative condensate…

High Energy Physics - Phenomenology · Physics 2013-02-12 Matthias Jamin

Phenomenological AdS/QCD models, like hard wall and soft wall, provide hadronic mass spectra in reasonable consistency with experimental and (or) lattice results. These simple models are inspired in the AdS/CFT correspondence and assume…

High Energy Physics - Theory · Physics 2016-11-01 Nelson R. F. Braga , M. A. Martin Contreras , Saulo Diles

We derive the scaling dimension of antisymmetric tensor operators in the boundary theory of the AdS/CFT correspondence using a functional integral representation of the boundary-to-boundary propagators of their dual fields in the bulk. We…

High Energy Physics - Theory · Physics 2013-09-10 Joshua W. Powell

Using special linear combinations of finite energy sum rules which minimize the contribution of the unknown continuum spectral function, we compute the decay constants of the pseudoscalar mesons B and B_s. In the computation, we employ the…

High Energy Physics - Phenomenology · Physics 2011-01-27 J. Bordes , J. Peñarrocha , K. Schilcher

This talk summarizes the recent development in the evaluation of the leading order hadronic contributions to the running of the QED fine structure constant \alpha(s), at $s=M_{\rm Z}^2$, and to the anomalous magnetic moments of the muon…

High Energy Physics - Phenomenology · Physics 2007-05-23 A. Hoecker

A thermal Finite Energy QCD Sum Rule is used to determine the temperature behaviour of the $\omega \rho \pi$ strong coupling. This coupling decreases with increasing $T$ and vanishes at the critical temperature, a likely signal for quark…

High Energy Physics - Phenomenology · Physics 2009-10-31 C. A. Dominguez , M. Loewe

We discuss the issue of duality violations in hadronic tau decay. After introducing a physically motivated ansatz for duality violations, we estimate their possible size by fitting this ansatz to the tau experimental data provided by the…

High Energy Physics - Phenomenology · Physics 2009-05-05 Oscar Cata , Maarten Golterman , Santiago Peris

The QED vacuum polarization function is calculated to O(alpha^2) (next-to-leading order) accuracy in the threshold regime by using the concept of effective field theories to resum diagrams with the instantaneous Coulomb exchange of…

High Energy Physics - Phenomenology · Physics 2016-08-25 A. H. Hoang

The most general QCD next-to-leading anomalous-dimension matrix of all possible four-fermion, dimension-six $\Delta F=2$ operators is computed. The results of this calculation can be used in many phenomenological applications, among which…

High Energy Physics - Phenomenology · Physics 2009-10-30 M. Ciuchini , E. Franco , V. Lubicz , G. Martinelli , I. Scimemi , L. Silvestrini

We investigate the double logarithmic corrections $\alpha_s\ln^2 x$, x being a parton momentum fraction, in two-body nonleptonic B meson decays in collinear factorization theorem of perturbative QCD (PQCD). It is found that these…

High Energy Physics - Phenomenology · Physics 2010-04-05 Hsiang-nan Li , Kazumasa Ukai

In this talk, I summarize the recent determinations in Ref.[1] of the QCD condensates and $\alpha_s$ within the SVZ expansion using the ratio of Laplace sum rule (LSR) ${\cal R}_{10}^A(\tau)$ and $\tau$-like moments ${\cal R}_{n,A},\, {\cal…

High Energy Physics - Phenomenology · Physics 2025-02-20 S. Narison , LUPM , iHEPMAD