#ifndef METOOLS_Loops_PV_Integrals_H #define METOOLS_Loops_PV_Integrals_H #include "ATOOLS/Math/MyComplex.H" #include "METOOLS/Loops/Divergence_Array.H" #include "METOOLS/Loops/Master_Integrals.H" namespace METOOLS { /*! Convention on input: - \f$ p_i^2 \f$ labels the squared outer momenta - \f$ m_i^2 \f$ labels the masses of the internal lines - \f$ s_{ij}=(p_i + p_j)^2 \f$ - \f$ \mu^2 \f$ labels the renormalisation scale Convention on output: - array with the following entries [0] - \f$ \sim \frac{1}{\epsilon_{UV}} \f$ [1] - \f$ \sim \frac{1}{\epsilon_{IR}} \f$ [2] - \f$ \sim \frac{1}{\epsilon_{IR}^2} \f$ [3] - \f$ \sim 1 \f$ [4] - \f$ \sim \epsilon \f$ [5] - \f$ \sim \epsilon^2 \f$ All terms \f$ \sim \epsilon \f$ are currently not calculated. This is suitable for 1-loop integrals, but nothing beyond. */ /*! This file declares the scalar parts of higher order tensor integrals in the Passarino-Veltman reduction scheme. */ //! A_munu = g_munu A_2 //! A_2(m2;mu2) DivArrC PV_Tadpole_2(const Complex&, double); //! B_mu = p_mu B_1 //! B_1(s12;m02,m12;mu2) DivArrC PV_Bubble_1(const double&, const Complex&, const Complex&, double); //! B_munu = p_mu p_nu B_21 + g_munu B_22 //! B_21(s12;m02,m12;mu2) DivArrC PV_Bubble_21(const double&, const Complex&, const Complex&, double); //! B_22(s12;m02,m12;mu2) DivArrC PV_Bubble_22(const double&, const Complex&, const Complex&, double); //! B_munurho = p_mu p_nu p_rho B_31 + {g,p}_munurho B_32 //! B_31(s12;m02,m12;mu2) DivArrC PV_Bubble_31(const double&, const Complex&, const Complex&, double); //! B_32(s12;m02,m12;mu2) DivArrC PV_Bubble_32(const double&, const Complex&, const Complex&, double); //! C_mu = p_mu C_10 //! C_10(p2,p2,0;m02,m12,m22;mu2) DivArrC PV_Triangle_10(const double&, const double&, const double&, const Complex&, const Complex&, const Complex&, double); //! C_mu = p_1,mu C_11 + p_2,nu C_12 //! C_11(p12,p22,s12;m02,m12,m22;mu2) DivArrC PV_Triangle_11(const double&, const double&, const double&, const Complex&, const Complex&, const Complex&, double); //! C_12(p12,p22,s12;m02,m12,m22;mu2) DivArrC PV_Triangle_12(const double&, const double&, const double&, const Complex&, const Complex&, const Complex&, double); //! C_munu = p_mu p_nu C_20 + g_munu C_24 //! C_20(p12,p22,s12;m02,m12,m22;mu2) DivArrC PV_Triangle_20(const double&, const double&, const double&, const Complex&, const Complex&, const Complex&, double); //! C_munu = p_1,mu p_1.nu C_21 + p_2,mu p_2.nu C_22 //! + {p_1,p_2}_munu C_23 + g_munu C_24 //! C_21(p12,p22,s12;m02,m12,m22;mu2) DivArrC PV_Triangle_21(const double&, const double&, const double&, const Complex&, const Complex&, const Complex&, double); //! C_22(p12,p22,s12;m02,m12,m22;mu2) DivArrC PV_Triangle_22(const double&, const double&, const double&, const Complex&, const Complex&, const Complex&, double); //! C_23(p12,p22,s12;m02,m12,m22;mu2) DivArrC PV_Triangle_23(const double&, const double&, const double&, const Complex&, const Complex&, const Complex&, double); //! C_24(p12,p22,s12;m02,m12,m22;mu2) DivArrC PV_Triangle_24(const double&, const double&, const double&, const Complex&, const Complex&, const Complex&, double); //! C_munurho = p_mu p_nu p_rho C_30 + {g,p}_munurho C_38 //! C_30(p12,p22,s12;m02,m12,m22;mu2) DivArrC PV_Triangle_30(const double&, const double&, const double&, const Complex&, const Complex&, const Complex&, double); //! C_38(p12,p22,s12;m02,m12,m22;mu2) DivArrC PV_Triangle_38(const double&, const double&, const double&, const Complex&, const Complex&, const Complex&, double); //! C_munu = p_1,mu p_1,nu p_1,rho C_31 + {p_1,p_1,p_2}_munurho C_32 //! + {p_1,p_2,p_2}_munurho C_33 + p_2,mu p_2.nu p_1,rho C_34 //! + {g,p_1}_munurho C_35 + {g,p_2}_munurho C_36 //! C_31(p12,p22,s12;m02,m12,m22;mu2) DivArrC PV_Triangle_31(const double&, const double&, const double&, const Complex&, const Complex&, const Complex&, double); //! C_32(p12,p22,s12;m02,m12,m22;mu2) DivArrC PV_Triangle_32(const double&, const double&, const double&, const Complex&, const Complex&, const Complex&, double); //! C_33(p12,p22,s12;m02,m12,m22;mu2) DivArrC PV_Triangle_33(const double&, const double&, const double&, const Complex&, const Complex&, const Complex&, double); //! C_34(p12,p22,s12;m02,m12,m22;mu2) DivArrC PV_Triangle_34(const double&, const double&, const double&, const Complex&, const Complex&, const Complex&, double); //! C_35(p12,p22,s12;m02,m12,m22;mu2) DivArrC PV_Triangle_35(const double&, const double&, const double&, const Complex&, const Complex&, const Complex&, double); //! C_36(p12,p22,s12;m02,m12,m22;mu2) DivArrC PV_Triangle_36(const double&, const double&, const double&, const Complex&, const Complex&, const Complex&, double); } #endif