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 // -*- C++ -*-
 //
 // VVVTVertex.h is a part of ThePEG - Toolkit for HEP Event Generation
 // Copyright (C) 2003-2019 Peter Richardson, Leif Lonnblad
 //
 // ThePEG is licenced under version 3 of the GPL, see COPYING for details.
 // Please respect the MCnet academic guidelines, see GUIDELINES for details.
 //
 #ifndef ThePEG_VVVTVertex_H
 #define ThePEG_VVVTVertex_H
 //
 // This is the declaration of the VVVTVertex class.
 //
 #include "ThePEG/Helicity/Vertex/AbstractVVVTVertex.h"
 #include "ThePEG/Helicity/WaveFunction/VectorWaveFunction.h"
 #include "ThePEG/Helicity/WaveFunction/TensorWaveFunction.h"
 #include "VVVTVertex.fh"
 
 namespace ThePEG {
 namespace Helicity {
   
 /** \ingroup Helicity
  *
  *  The VVTVertex class is the implementation of the 
  *  vector-vector-vector-tensor vertex. 
  *  It inherits from the AbstractVVVTVertex class for the storage of the particles
  *  interacting at the vertex and implements the helicity amplitude calculations.
  *
  *  All implementations of this vertex should inherit from it and implement the
  *  virtual setCoupling member.
  *
  *  The vertex has the form
  *  \f[
  *  g\frac\kappa2f^{abc}\left[
  *  C_{\mu\nu,\rho\sigma}(k_1-k_2)_\lambda+C_{\mu\nu,\rho\lambda}(k_3-k_1)_\sigma
  * +C_{\mu\nu,\sigma\lambda}(k_2-k_3)_\rho+F_{\mu\nu,\rho\sigma\lambda}
  *   \right]\epsilon_1^\rho\epsilon^\sigma_2\epsilon^\lambda_3
  *   \epsilon^{\mu\nu}_4
  *  \f]
  *  where
  *  -\f$C_{\mu\nu,\rho\sigma}=g_{\mu\rho}g_{\nu\sigma}+g_{\mu\sigma}g_{\nu\rho}
  *         -g_{\mu\nu}g_{\rho\sigma}\f$
  *  -\f$F_{\mu\nu,\rho\sigma\lambda} = 
  *      g_{\mu\rho}g_{\sigma\lambda}(k_2-k_3)_\nu
  *     +g_{\mu\sigma}g_{\rho\lambda}(k_3-k_1)_\nu
  *     +g_{\mu\lambda}g_{\rho\sigma}(k_1-k_2)_\nu+(\mu\leftrightarrow\nu)
  *   \f$
  *
  *  @see AbstractVVVTVertex
  */
 class VVVTVertex: public AbstractVVVTVertex {
     
 public:
 
   /**
    * Standard Init function used to initialize the interfaces.
    */
   static void Init();
   
 public:
   
   /**
    * Members to calculate the helicity amplitude expressions for vertices
    * and off-shell particles.
    */
   //@{
   /**
    * Evalulate the vertex.
    * @param q2 The scale \f$q^2\f$ for the coupling at the vertex.
    * @param vec1  The wavefunction for the first  vector.
    * @param vec2  The wavefunction for the second vector.
    * @param vec3  The wavefunction for the third  vector.
    * @param ten4  The wavefunction for the tensor.
    */
   Complex evaluate(Energy2 q2,const VectorWaveFunction & vec1,
            const VectorWaveFunction & vec2,
            const VectorWaveFunction & vec3, const TensorWaveFunction & ten4);
 
   /**
    * Evaluate the off-shell tensor coming from the vertex.
    * @param q2 The scale \f$q^2\f$ for the coupling at the vertex.
    * @param iopt Option of the shape of the Breit-Wigner for the off-shell tensor.
    * @param out The ParticleData pointer for the off-shell tensor.
    * @param vec1  The wavefunction for the first  vector.
    * @param vec2  The wavefunction for the second vector.
    * @param vec3  The wavefunction for the third  vector.
    * @param mass The mass of the off-shell particle if not taken from the ParticleData
    * object
    * @param width The width of the off-shell particle if not taken from the ParticleData
    * object
    */
   TensorWaveFunction evaluate(Energy2 q2,int iopt, tcPDPtr out,
                   const VectorWaveFunction & vec1,
                   const VectorWaveFunction & vec2,
                   const VectorWaveFunction & vec3,
                   complex<Energy> mass=-GeV, complex<Energy> width=-GeV);
 
   /**
    * Evaluate the off-shell vector coming from the vertex.
    * @param q2 The scale \f$q^2\f$ for the coupling at the vertex.
    * @param iopt Option of the shape of the Breit-Wigner for the off-shell vector.
    * @param out The ParticleData pointer for the off-shell vector.
    * @param vec1  The wavefunction for the first  vector.
    * @param vec2  The wavefunction for the second vector.
    * @param ten4  The wavefunction for the tensor.
    * @param mass The mass of the off-shell particle if not taken from the ParticleData
    * object
    * @param width The width of the off-shell particle if not taken from the ParticleData
    * object
    */
   VectorWaveFunction evaluate(Energy2 q2,int iopt, tcPDPtr out,
                   const VectorWaveFunction & vec1,
                   const VectorWaveFunction & vec2,
                   const TensorWaveFunction & ten4,
                   complex<Energy> mass=-GeV, complex<Energy> width=-GeV);
   //@}
 
   /**
    *   Set coupling methods
    */
   //@{
   /**
    * Dummy for a three point interaction.
    */
   virtual void setCoupling(Energy2,tcPDPtr,tcPDPtr,tcPDPtr) {
     assert(false);
   }
 
   /**
    * Calculate the couplings for a four point interaction.
    * This method is virtual and must be implemented in 
    * classes inheriting from this.
    * @param q2 The scale \f$q^2\f$ for the coupling at the vertex.
    * @param part1 The ParticleData pointer for the first  particle.
    * @param part2 The ParticleData pointer for the second particle.
    * @param part3 The ParticleData pointer for the third  particle.
    * @param part4 The ParticleData pointer for the fourth particle.
    */
   virtual void setCoupling(Energy2 q2,tcPDPtr part1,tcPDPtr part2,tcPDPtr part3,
                tcPDPtr part4)=0;
   //@}
   
 private:
   
   /**
    * Private and non-existent assignment operator.
    */
   VVVTVertex & operator=(const VVVTVertex &) = delete;
   
 };
 
 }
 
 }
 #endif /* ThePEG_VVVTVertex_H */

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