Implementation of the Complex Part of a PDF

Dear Experts,

I am trying to fit a PDF that has a real part S^0 and a complex part, as shown in the following figure:  

PDF_TOTAL

I have implemented the real part (S0) using RooAbsPdf (RooClassFactory::makePdfInstance():

((0.3894e9*1.5*B_f*MP*beta_val*alpha*alpha)/s)* ((0.5 * (3 - pow(beta_val, 2)) * (DV) - 0.5 * (1 - (3 * pow(beta_val, 2))) * (DA) - "
"((1 - pow(beta_val, 2)) * (DVA)) * F + 2 * ((DVA) * G) +  "
 "0.5 * ((DV) + (DA) + 2 * (DVA))) * (2 * H1 - H2) + "
"(2 * (2 * (EVA) + (1 - pow(beta_val, 2)) * (EA)) * F + "
 "2 * ((EV) + (EA)) * G - 2 * (2 * (EVA) + (EV) + (EA)) * H1) * costheta + "
  "(0.5 * ((3 - pow(beta_val, 2)) * ((DV) + (DA)) + 6 * ((1 - pow(beta_val, 2)) * (DVA))) * F + "
"2 * (DVA) * G + (-3. / 2.) * (DV + DA+ 2 * DVA) * (2 * H1 - H2)) * pow(costheta, 2) )"
 RooArgList(x, costheta, EVA, EV, EA, DV, DA, DVA, F, G, H1, H2, beta_val,s,B_f,MP,alpha));

Now I want to add this part (imaginary part) :
2i SinthetaW gamma1 F_Ay - 2i SinthetaW gamma2 F_AZ - 2i SinthetaW gamma3 F_BZ

But I don’t know how to implement the complex part! Could you please suggest a way for me to implement it?

where gamma_i are my parameters to fit.

Best regards,

Let’s ask @jonas for help.

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