residues.hpp

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#pragma once

#include "parameters.hpp"

namespace QQbar_threshold{


  double ttbar_residue(
      int n, double mu, double m, order o,
      options opt = top_options()
  );


  complex ttbar_residue(
      int n, double mu, top_properties M, order o,
      options opt = top_options()
  );


  double bbbar_residue(
      int n, double mu, double m, order o,
      options opt = bottom_options()
  );

  namespace detail{
    complex QQbar_residue(int n, parameters const & p);

    double Z_LO(int n, parameters const & p);

    // higher order corrections
    // Z = Z_LO * (1 + z1 + ... + z<order>)
    double z1(int n, parameters const & p);
    complex z2(int n, parameters const & p);
    complex z3(int n, parameters const & p);

    //NLO corrections - needed for double insertion
    double delta_f1_light(int n, double xi_n);
    double delta_f1_Coulomb(int n, parameters const & p);
    //needed for pole resummation in the Green function
    double f1(int n, parameters const & p);
  }

}