#include <cmath>
#include <vector>
#include <array>

Go to the source code of this file.

Namespaces
namespace	apfel
	Namespace for all APFEL++ functions and classes.

Enumerations
enum	apfel::FixedOrderAccuracy : int { apfel::LO = 0 , apfel::NLO = 1 , apfel::NNLO = 2 , apfel::NNNLO = 3 , apfel::N4LO = 4 }

enum	apfel::LogAccuracy : int { apfel::NNNLLp = -3 , apfel::NNLLp = -2 , apfel::NLLp = -1 , apfel::LL = 0 , apfel::NLL = 1 , apfel::NNLL = 2 , apfel::NNNLL = 3 , apfel::N4LL = 4 }

enum	apfel::PartonSpecies : int { apfel::GLUON = 0 , apfel::QUARK = 1 , apfel::PHOTON = 2 , apfel::CHARGEDLEPTON = 3 , apfel::NEUTRINO = 4 }

Variables
Small numbers
Small numbers used for cutoffs, integration accuracies, etc.
const double	apfel::eps2 = 1e-2

const double	apfel::eps3 = 1e-3

const double	apfel::eps4 = 1e-4

const double	apfel::eps5 = 1e-5

const double	apfel::eps6 = 1e-6

const double	apfel::eps7 = 1e-7

const double	apfel::eps8 = 1e-8

const double	apfel::eps9 = 1e-9

const double	apfel::eps10 = 1e-10

const double	apfel::eps11 = 1e-11

const double	apfel::eps12 = 1e-12

const double	apfel::eps13 = 1e-13

const double	apfel::eps14 = 1e-14

const double	apfel::eps15 = 1e-15

const double	apfel::eps25 = 1e-25

Gauss-Legendre quadrature
Coordinates and weights of the Gauss-Legendre quadrature with 8 and 16-point integration.
const std::array< std::vector< double >, 2 >	apfel::gl_x

const std::array< std::vector< double >, 2 >	apfel::gl_w

Gauss-Kronrod quadrature
Coordinates and weights of the Gauss-Kronrod quadrature with 7 and 15-point integration.
const std::array< std::vector< double >, 2 >	apfel::gk_x

const std::array< std::vector< double >, 2 >	apfel::gk_w

Numerical constants
Definitions for recurrent constants.
const double	apfel::Pi2 = M_PI * M_PI

const double	apfel::FourPi = 4 * M_PI

const double	apfel::emc = 0.5772156649015329

const double	apfel::zeta2 = 1.6449340668482264

const double	apfel::zeta3 = 1.2020569031595943

const double	apfel::zeta4 = 1.0823232337111382

const double	apfel::zeta5 = 1.0369277551433699

const double	apfel::zeta6 = 1.0173430619844491

QCD colour factors
The SU(3) Casimir's.
const double	apfel::TR = 0.5

const double	apfel::CF = 4. / 3.

const double	apfel::CA = 3.

const double	apfel::NC = 3.

Quark charges
Quark electric charges and their square (it also includes sums of charges).
const double	apfel::ed = - 1. / 3.

const double	apfel::eu = 2. / 3.

const double	apfel::ed2 = 1. / 9.

const double	apfel::eu2 = 4. / 9.

const std::vector< double >	apfel::QCh = {ed, eu, ed, eu, ed, eu}

const std::vector< double >	apfel::QCh2 = {ed2, eu2, ed2, eu2, ed2, eu2}

const std::vector< double >	apfel::SumCh2 = {0., 1./9., 5./9., 2./3., 10./9., 11./9., 5./3.}

const std::vector< double >	apfel::SumCh4 = {0., 1./81., 17./81., 18./81., 34./81., 35./81., 51./81.}

Flavour factors required by the N<SUP>3</SUP>LO DIS coefficient functions
Their definition can be found in Tab. 2 (page 8) of https://arxiv.org/pdf/hep-ph/0504242v1.pdf.
const std::vector< double >	apfel::fl11ns = {-1, 0.5, 0, 0.5, 0.2, 0.5}

const std::vector< double >	apfel::fl11sg = {1, 0.1, 0, 0.1, 0.018181818, 0.1}

Conversion factor
Conversion factor from * GeV^-2 to pb taken from: https://pdg.lbl.gov/2022/reviews/rpp2022-rev-phys-constants.pdf.
const double	apfel::ConvFact = 0.3893793721e9

Z-boson mass and width
Value of the mass of the Z boson and its width in GeV taken from: https://pdg.lbl.gov/2023/listings/rpp2023-list-z-boson.pdf.
const double	apfel::ZMass = 91.1876

const double	apfel::GammaZ = 2.4955

W-boson mass and width
Value of the mass of the W bosons and their width in GeV taken from: https://pdg.lbl.gov/2023/listings/rpp2023-list-w-boson.pdf.
const double	apfel::WMass = 80.377

const double	apfel::GammaW = 2.085

Proton mass
Value of the mass of the proton in GeV taken from: https://pdg.lbl.gov/2022/reviews/rpp2022-rev-phys-constants.pdf.
const double	apfel::ProtonMass = 0.93827208816

Weinberg angle
Value of sin²θ_W in the MSbar scheme taken from: https://pdg.lbl.gov/2022/reviews/rpp2022-rev-phys-constants.pdf.
const double	apfel::Sin2ThetaW = 0.23121

Fermi constant
Value of G_F in GeV^-2 taken from: https://pdg.lbl.gov/2022/reviews/rpp2022-rev-phys-constants.pdf.
const double	apfel::GFermi = 1.1663788e-5

const double	apfel::alphaem = 7.2973525693e-3

CKM matrix elements
Absolute value of the CMK matrix elements and their square taken from: http://pdg.lbl.gov/2018/reviews/rpp2018-rev-ckm-matrix.pdf.
const double	apfel::Vud = 0.97446

const double	apfel::Vus = 0.22452

const double	apfel::Vub = 0.00365

const double	apfel::Vcd = 0.22438

const double	apfel::Vcs = 0.97359

const double	apfel::Vcb = 0.04214

const double	apfel::Vtd = 0.00896

const double	apfel::Vts = 0.04133

const double	apfel::Vtb = 0.999105

const double	apfel::Vud2 = Vud * Vud

const double	apfel::Vus2 = Vus * Vus

const double	apfel::Vub2 = Vub * Vub

const double	apfel::Vcd2 = Vcd * Vcd

const double	apfel::Vcs2 = Vcs * Vcs

const double	apfel::Vcb2 = Vcb * Vcb

const double	apfel::Vtd2 = Vtd * Vtd

const double	apfel::Vts2 = Vts * Vts

const double	apfel::Vtb2 = Vtb * Vtb

const std::vector< double >	apfel::CKM = {Vud, Vus, Vub, Vcd, Vcs, Vcb, Vtd, Vts, Vtb}

const std::vector< double >	apfel::CKM2 = {Vud2, Vus2, Vub2, Vcd2, Vcs2, Vcb2, Vtd2, Vts2, Vtb2}

Namespaces

Enumerations

Variables