anQCD: Fortran programs for couplings at complex momenta in various analytic QCD models

Abstract
We provide three Fortran programs which evaluate the QCD analytic (holomorphic) couplings _(Aν)(^(Q2)) for complex or real squared momenta ^(Q2). These couplings are holomorphic analogs of the powers a(^(Q2))ν of the underlying perturbative QCD (pQCD) coupling a(^(Q2))≡_(αs)(^(Q2))/π, in three analytic QCD models (anQCD): Fractional Analytic Perturbation Theory (FAPT), Two-delta analytic QCD (2δanQCD), and Massive Perturbation Theory (MPT). The index ν can be noninteger. The pro...

Title of program: AanQCDext
Catalogue Id: AEYK_v1_0

Nature of problem
Calculation of values of the running analytic couplings A ν (Q 2 ;N f ) for general complex squared momenta Q 2 === -q 2 , in three analytic QCD models, where A ν (Q 2 ;N f ) is the analytic (holomorphic) analog of the power (α s (Q 2 ;N f )/π) ν . Here, A ν (Q 2 ;N f ) is a holomorphic function in the Q 2 complex plane, with the exception of the negative semiaxis (-∞,-M 2 thr ), reflecting the analiticity properties of the spacelike renormalization invariant quantities D(Q 2 ) in QCD. In contra ...

Versions of this program held in the CPC repository in Mendeley Data
AEYK_v1_0; AanQCDext; 10.1016/j.cpc.2015.10.004

This program has been imported from the CPC Program Library held at Queen's University Belfast (1969-2018)

摘要
我们提供三款Fortran程序，用于计算复或实平方动量$Q^2$对应的量子色动力学（Quantum Chromodynamics, QCD）全纯解析耦合$A_\nu(Q^2)$。在三类解析量子色动力学模型（anQCD）中，此类耦合是微扰量子色动力学（perturbative QCD, pQCD）耦合$a(Q^2)\equiv\alpha_s(Q^2)/\pi$的$\nu$次幂的全纯对应形式：分数阶解析微扰论（Fractional Analytic Perturbation Theory, FAPT）、双δ解析量子色动力学（Two-delta analytic QCD, 2δanQCD）与大质量微扰论（Massive Perturbation Theory, MPT）。其中指标$\nu$可为非整数。The pro...

程序名称：AanQCDext

目录编号：AEYK_v1_0

问题属性
在三类解析量子色动力学模型中，针对一般复平方动量$Q^2\equiv -q^2$计算跑动解析耦合$A_\nu(Q^2;N_f)$的数值，其中$A_\nu(Q^2;N_f)$是$(\alpha_s(Q^2;N_f)/\pi)^\nu$的解析（全纯）对应形式。此处$A_\nu(Q^2;N_f)$是$Q^2$复平面上的全纯函数，仅在负半轴$(-\infty,-M_{\rm thr}^2)$处存在奇点，这一特性反映了量子色动力学中类空重整化不变量$D(Q^2)$的解析性。In contra ...

孟德雷数据（Mendeley Data）中CPC程序库收录的本程序版本
AEYK_v1_0; AanQCDext; 10.1016/j.cpc.2015.10.004

本程序源自贝尔法斯特女王大学托管的CPC程序库（1969-2018年）