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We provide three Fortran programs which evaluate the QCD analytic (holomorphic) couplings $\mathcal{A}_{\nu}(Q^2)$ for complex or real squared momenta $Q^2$. These couplings are holomorphic analogs of the powers $a(Q^2)^{\nu}$ of the…

高能物理 - 唯象学 · 物理学 2019-04-02 Cesar Ayala , Gorazd Cvetic

A brief review of the recently developed model for the QCD analytic invariant charge is presented. The main idea of this approach is invoking the analyticity condition into the framework of the renormalization group method. More precisely,…

高能物理 - 唯象学 · 物理学 2017-08-23 A. V. Nesterenko

We investigate exclusive nonleptonic $B$ meson decays $B\to\phi K$ in perturbative QCD formalism. It is shown that the end-point (logarithmic and linear) singularities in decay amplitudes do not exist, after $k_T$ and threshold resummations…

高能物理 - 唯象学 · 物理学 2014-11-17 Chuan-Hung Chen , Yong-Yeon Keum , Hsiang-nan Li

The QCD treatment of the photon structure beyond the leading order is discussed with emphasis on a proper choice of the factorization scheme and/or the boundary conditions. Recent parametrizations of the photon's parton content are examined…

高能物理 - 唯象学 · 物理学 2007-05-23 Andreas Vogt

The polarized nucleon structure function in the nonsinglet case is investigated here by a new insight rather than conventional perturbative QCD (pQCD). For this purpose we note that the solution of the evolution equations in moment space…

高能物理 - 唯象学 · 物理学 2019-12-12 Leila Ghasemzadeh , Abolfazl Mirjalili , S. Atashbar Tehrani

An exact formula is derived for the infrared singularities of dimensionally regularized scattering amplitudes in massless QCD with an arbitrary number of legs, valid at any number of loops. It is based on the conjecture that the…

高能物理 - 唯象学 · 物理学 2013-10-23 Thomas Becher , Matthias Neubert

We compute the next-to-next-to-leading order (NNLO) contributions to the three splitting functions governing the evolution of unpolarized non-singlet combinations of quark densities in perturbative QCD. Our results agree with all partial…

高能物理 - 唯象学 · 物理学 2008-11-26 S. Moch , J. A. M. Vermaseren , A. Vogt

By working in QED, we obtain the electron, positron, and photon Parton Distribution Functions (PDFs) of the unpolarised electron at the next-to-leading logarithmic accuracy. The PDFs account for all of the universal effects of initial-state…

高能物理 - 唯象学 · 物理学 2022-07-26 V. Bertone , M. Cacciari , S. Frixione , G. Stagnitto

Starting from linear equations for the complex scalar field, the two- and three-point Green's functions are obtained in the infrared approximation. We show that the infrared singularity factorizes in the vertex function as in spinorial QED,…

高能物理 - 理论 · 物理学 2017-02-01 B. M. Pimentel , J. L. Tomazelli

In high-energy hadron-hadron collisions, the dependence of the total cross-section ($\sigma_{tot}$) with the energy still constitutes an open problem for QCD. Phenomenological analyses usually relies on analytic parameterizations provided…

高能物理 - 唯象学 · 物理学 2017-10-13 E. Capelas de Oliveira , M. J. Menon , P. V. R. G. Silva

In this work we explicitly show that the perturbative unitarity of analytic infinite derivative (AID) scalar field theories can be achieved using a modified prescription for computing scattering amplitudes. The crux of the new prescription…

高能物理 - 理论 · 物理学 2022-03-21 Alexey S. Koshelev , Anna Tokareva

We present an overview of fractional analytic QCD beyond leading order, following the results recently obtained in Ref. [1]. We demonstrate four different representations, the details of their derivation, and show the applicability of…

高能物理 - 唯象学 · 物理学 2022-07-05 A. V. Kotikov , I. A. Zemlyakov

Following a previous calculation of quark scattering in eikonal approximation, this paper presents a new, analytic and rigorous approach to the calculation of QCD phenomena. In this formulation a basic distinction between the conventional…

高能物理 - 唯象学 · 物理学 2015-01-20 H. M. Fried , T. Grandou , Y. -M. Sheu

In the framework of analytic approach to QCD, which has been recently intensively developed, the dependence of nonperturbative contributions in a running coupling of strong interaction on initial perturbative approximation to 3-loop order…

高能物理 - 唯象学 · 物理学 2007-05-23 Aleksey I. Alekseev

We consider the exclusive decay $B\to J/\psi K$ using the QCD-improved factorization method in the heavy quark limit. It is shown that the decay amplitude is factorizable in this limit and nonfactorizable contributions are calculable from…

高能物理 - 唯象学 · 物理学 2007-05-23 Junegone Chay , Chul Kim

The hadronization of a high-energy parton is described by fragmentation functions which are introduced through QCD factorizations. While the hadronization mechanism per se remains uknown, fragmentation functions can still be investigated…

高能物理 - 唯象学 · 物理学 2023-07-07 Kai-Bao Chen , Tianbo Liu , Yu-Kun Song , Shu-Yi Wei

We present a generalized QCD factorization scheme for the high energy inclusive polarized process, (A, S_A) + (B, S_B) -> C + X, including all intrinsic partonic motions. This introduces many non-trivial azimuthal phases and several new…

高能物理 - 唯象学 · 物理学 2017-08-23 M. Anselmino , M. Boglione , U. D'Alesio , E. Leader , S. Melis , F. Murgia

We develop perturbative QCD factorization theorems for the exclusive semileptonic heavy baryon decay $\Lambda_b \to pl{\bar\nu}$, in which the relevant hadronic form factor is expressed as the convolution of a hard subamplitude with the…

高能物理 - 唯象学 · 物理学 2009-10-31 Hsien-Hung Shih , Shih-Chang Lee , Hsiang-nan Li

By analytically continuing QCD scattering amplitudes through specific complexified momenta, one can study and learn about the nature and the consequences of factorization and unitarity. In some cases, when coupled with the largest time…

高能物理 - 理论 · 物理学 2008-11-26 Diana Vaman , York-Peng Yao

Analytic structure in the strong coupling constant that emerges for some observables in QCD after duality averaging of renormalization group improved amplitudes is discussed. It is shown that perturbation theory calculations are justified…

高能物理 - 唯象学 · 物理学 2014-11-17 A. A. Pivovarov