#include "METOOLS/Loops/Master_Integrals.H" #include "METOOLS/Loops/PV_Integrals.H" #include "ATOOLS/Math/MathTools.H" using namespace std; using namespace ATOOLS; using namespace METOOLS; //! A_2(m2) in Passarino-Veltman reduction /*! ------- / \ q = 0 m | |---------- \ / ------- */ METOOLS::DivArrC METOOLS::PV_Tadpole_2(const Complex& m2, double mu2=0.) { if (mu2 == 0.) mu2 = GLOBAL_RENORMALISATION_SCALE; //! massless internal line //! A_2(0) = 0 if (IsZero(m2)) { return DivArrC(0.,0.,0.,0.,0.,0.); } //! massive internal line //! A_2(m^2) = m^4(1/epsUV + ln(mu^2/m^2) + 3/2) else { return DivArrC(m2*m2,0.,0.,m2*m2*(log(mu2/m2) + 3./2.),0.,0.); } return DivArrC(0.,0.,0.,0.,0.,0.); }