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We provide a brief summary of recent developments in QCD calculations in and beyond fixed-order perturbation theory, for observables in $e^{+}e^{-}$ annihilation as well as hadron collisions.

High Energy Physics - Phenomenology · Physics 2022-03-02 Mrinal Dasgupta

In this paper, we obtain some new results on the existence of MDS self-dual codes utilizing (extended) generalized Reed-Solomon codes over finite fields of odd characteristic. For some fixed $q$, our results can produce more classes of MDS…

Information Theory · Computer Science 2018-07-30 Khawla Labad , Honwei Liu , Jinquan Luo

We compute the M theory corrections to the confining linear potential between a quark and an anti-quark in N=1 Super Yang-Mills theory. We find a constant term, and a term exponentially small with characteristic length of…

High Energy Physics - Theory · Physics 2009-10-31 Y. Kinar , E. Schreiber , J. Sonnenschein

A new multifermion formulation of lattice QCD is proposed. The model is free of spectrum doubling and preserves all nonanomalous chiral symmetries up to exponentially small corrections. It is argued that a small number of fermion fields may…

High Energy Physics - Lattice · Physics 2009-10-31 A. A. Slavnov

Lattice results and Dual QCD results for all heavy quark potentials through order (quark mass)^${-2}$ are exhibited and compared. The agreement on the whole is quite good, confirming the validity of Dual QCD. NOTE: (The only important…

High Energy Physics - Phenomenology · Physics 2009-10-30 M. Baker , James S. Ball , F. Zachariasen

We review many topics and results about numeric gauge fixing in lattice QCD.

High Energy Physics - Lattice · Physics 2008-11-26 L. Giusti , M. L. Paciello , C. Parrinello , S. Petrarca , B. Taglienti

The brief discussion of the studies of the radiative QCD corrections to the decay widths and branching ratios of the Standard Model Higgs boson with the mass 2 m_b < M_H < 2 M_W is given. The numerical results are obtained with the help of…

High Energy Physics - Phenomenology · Physics 2007-05-23 Andrei L. Kataev , Victor T. Kim

Extensive rewrite. Tables and proofs have been reformatted and/or rewritten for clarity.

Geometric Topology · Mathematics 2015-05-27 Margaret I. Doig

We present a brief (mainly bibliographical) report on recently performed calculations of terms of order O(\alpha_s^4 n_f^2) and O(\alpha_s^4 n_f^2 m_q^2) for hadronic Z and \tau decay rates. A few details about the analytical evaluation of…

High Energy Physics - Phenomenology · Physics 2009-03-16 P. A. Baikov , K. G. Chetyrkin , J. H. Kuehn

The brief review of the current status of the studies of the effects of the higher-order perturbative QCD corrections to the deep-inelastic sum rules is presented.

High Energy Physics - Phenomenology · Physics 2007-05-23 Andrei L. Kataev

Accurate results for nonrelativistic energy, relativistic, QED, and finite nuclear mass corrections are obtained for $2^1S_{1/2}$, $3^1S_{1/2}$ and $2^1P_{1/2}$ states of the Li atom and Be$^+$ ion. Our computational approach uses the…

Atomic Physics · Physics 2009-11-13 Mariusz Puchalski , Krzysztof Pachucki

The two-loop QCD corrections to the $\rho$ parameter are derived in the Minimal Supersymmetric Standard Model. They turn out to be sizable and modify the one-loop result by up to 30%. Furthermore exact results for the gluonic corrections to…

High Energy Physics - Phenomenology · Physics 2007-05-23 G. Weiglein

A new criterion on normal bases of finite field extension $\mathbb{F}_{q^n} / \mathbb{F}_{q}$ is presented and explicit criterions for several particular finite field extensions are derived from this new criterion.

Number Theory · Mathematics 2014-07-15 Aixian Zhang , Keqin Feng

We present a new calculation, in the nonrelativistic QCD (NRQCD) factorization formalism, of the relativistic corrections to the double-charmonium cross section sigma[e+ e- -> J/psi+eta_c] at the energy of the Belle and BABAR experiments.…

High Energy Physics - Phenomenology · Physics 2008-11-26 Geoffrey T. Bodwin , Jungil Lee , Chaehyun Yu

We present code constructions for masking $u$ partially stuck memory cells with $q$ levels and correcting additional random errors. The results are achieved by combining the methods for masking and error correction for stuck cells in [1]…

Information Theory · Computer Science 2019-11-11 Haider Al Kim , Sven Puchinger , Antonia Wachter-Zeh

We make some corrections to Nipp's tables of positive definite integral quaternary quadratic forms. They only affect $p$-adic densities and $p$-adic Jordan splittings in the Appendix of Nipp's book. There are no errors found in Nipp's list…

Number Theory · Mathematics 2019-02-25 Chul-hee Lee

We look back at early efforts to approximate the large N_c Feynman diagrams of QCD as very large fishnet diagrams. We consider more carefully the uniqueness of rules for discretizing P^+ and ix^+ which fix the fishnet model in the strong 't…

High Energy Physics - Theory · Physics 2009-10-31 Klaus Bering , Joel S. Rozowsky , Charles B. Thorn

Recent developments in cosmic strings are reviewed, with emphasis on unresolved problems.

High Energy Physics - Theory · Physics 2007-06-20 Alexander Vilenkin

We review recent results on QCD at finite temperature. In particular we will discuss the chiral phase transition in two flavour QCD and new results on the excitation spectrum in the plasma phase of QCD.

High Energy Physics - Lattice · Physics 2009-10-22 Frithjof Karsch

QCD corrections to all the allowed decays of superheavy groundstate quarkonia into electroweak gauge and Higgs bosons are presented. For quick estimates, approximations that reproduce the exact results within less than at worst two percent…

High Energy Physics - Phenomenology · Physics 2011-07-19 J. H. Kühn , M. Peter
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