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Related papers: Pade approximation to fixed order QCD calculations

200 papers

We construct a systematic expansion for full QCD. The leading term gives the valence (quenched) approximation.

High Energy Physics - Lattice · Physics 2008-02-03 J. Sexton , D. Weingarten

We present a computation of QCD next-to-leading order virtual corrections to the top production and decay process at linear colliders. The top quarks are allowed to be off-shell and the production and decay subprocesses are treated…

High Energy Physics - Phenomenology · Physics 2009-11-07 Cosmin Macesanu

The QCD factorization approach provides the theoretical basis for a systematic analysis of nonleptonic decay amplitudes of B mesons in the heavy-quark limit. After recalling the basic ideas underlying this formalism, several tests of QCD…

High Energy Physics - Phenomenology · Physics 2010-11-23 Matthias Neubert

The method originally developed for the exact calculations in QED theory is applied for the calculation of NLO effects in QCD Compton processes. QCD corrections to the structure functions and sum rules are obtained. Different…

High Energy Physics - Phenomenology · Physics 2014-11-17 I. Akushevich , A. Ilyichev , N. Shumeiko

Pade-approximant methods are used to estimate the three-loop perturbative contributions to the inclusive semileptonic $b \to u$ decay rate. These improved estimates of the decay rate reduce the theoretical uncertainty in the extraction of…

High Energy Physics - Phenomenology · Physics 2009-10-31 T. G. Steele , M. R. Ahmady , F. A. Chishtie , V. Elias

We compute next-to-leading order QCD corrections to the process $gg\to ZH$. In the effective-theory approach we confirm the results in the literature. We consider top quark mass corrections via an asymptotic expansion and show that there is…

High Energy Physics - Phenomenology · Physics 2017-03-08 Alexander Hasselhuhn , Thomas Luthe , Matthias Steinhauser

The dipole subtraction method for calculating next-to-leading order corrections in QCD was originally only formulated for massless partons. In this paper we extend its definition to include massive partons, namely quarks, squarks and…

High Energy Physics - Phenomenology · Physics 2009-07-09 Stefano Catani , Stefan Dittmaier , Michael H. Seymour , Zoltan Trocsanyi

We discuss the effects of QCD corrections to the on-shell decay $t \to b W$. We resolve the scale ambiguity using the Brodsky-Lepage-Mackenzie scheme, and find that the appropriate coupling constant is $\alpha_{s}^{ \overline{MS}}…

High Energy Physics - Phenomenology · Physics 2009-10-28 Brian H. Smith , M. B. Voloshin

We give a short introduction to Pade approximation (rational approximation to a function with close contact at one point) and to Hermite-Pade approximation (simultaneous rational approximation to several functions with close contact at one…

Classical Analysis and ODEs · Mathematics 2013-10-16 Walter Van Assche

Perturbative QCD corrections to hadronic $\tau$ decays and $e^+e^-$ annihilation into hadrons below charm are obtained from the Adler function, which at present is known in the chiral limit to five-loop accuracy. Extractions of the strong…

High Energy Physics - Phenomenology · Physics 2018-08-29 Diogo Boito , Pere Masjuan , Fabio Oliani

The one-loop supersymmetric QCD corrections to the top quark semileptonic decays $t\to b \bar{l} {\nu_l}$ are considered. The corrections are found to reduce the decay width. In the still acceptable parameter space the corrections to the…

High Energy Physics - Phenomenology · Physics 2009-10-31 Cong-Feng Qiao , Shou-Hua Zhu

We describe a first-principles method to apply lattice QCD to compute the order $\alpha_{\mathrm{EM}}$ corrections to $K\to\pi\ell\nu_\ell$ decay. This method formulates the calculation in infinite volume with the conventional…

High Energy Physics - Lattice · Physics 2024-02-15 Norman H. Christ , Xu Feng , Luchang Jin , Christopher T. Sachrajda , Tianle Wang

We present an estimate of perturbative QCD corrections to the decay $Z \to Wu\bar d$. A simple approximate approach is described in detail. The difference of masses of $M_Z$ and $M_W$ is used as an expansion parameter. A complete analytical…

High Energy Physics - Phenomenology · Physics 2016-08-24 Andrzej Czarnecki , Kirill Melnikov

Asymptotic Pade-approximant methods are utilized to estimate the order $\alpha_s^5$ contribution to the $H\to gg$ rate and the order $\alpha_s^4$ contribution to the $H \to b \bar{b}$ rate. The former process is of particular interest…

High Energy Physics - Phenomenology · Physics 2008-11-26 V. Elias , F. A. Chishtie , T. G. Steele

In this note we analyze the use of Pad\'e approximants for downward continuation beyond the radius of convergence of spherical harmonic expansions (SHEs), and for identifying the complex singularities of the gravitational potential. SHEs…

Mathematical Physics · Physics 2026-05-06 Ovidiu Costin , Gerald V. Dunne , Crichton Ogle

We propose a method to improve the quenched approximation. The method, based on the worldline formalism, takes into account effects of quark loops. The idea is useful mostly for AdS/CFT (holographic) calculations. To demonstrate the method…

High Energy Physics - Theory · Physics 2009-11-13 Adi Armoni

I present generalized formulas for approximate corrections to QCD hard-scattering cross sections through second order in the perturbative expansion. The approximate results are based on recent two-loop calculations for soft and collinear…

High Energy Physics - Phenomenology · Physics 2011-09-09 Nikolaos Kidonakis

The 1/N expansion of QCD can be used to calculate properties of nucleons and Delta baryons, such as masses, magnetic moments, and pion couplings. The predictions of the 1/N expansion are in excellent agreement with the experimental data.…

High Energy Physics - Phenomenology · Physics 2007-05-23 Aneesh V. Manohar

We discuss a practical approach to compute master integrals entering physical quantities which depend on one parameter. As an example we consider four-loop QCD corrections to the relation between a heavy quark mass defined in the…

High Energy Physics - Phenomenology · Physics 2021-10-11 Matteo Fael , Fabian Lange , Kay Schönwald , Matthias Steinhauser

We construct approximate formulas for the O(\alpha_s^3) QCD contributions to vector, axial-vector, scalar and pseudo-scalar quark current correlators, which are valid for arbitrary values of momenta and masses. The derivation is based on…

High Energy Physics - Phenomenology · Physics 2009-10-02 Y. Kiyo , A. Maier , P. Maierhoefer , P. Marquard