25 string install_prefix() {
26 static string wdir =
"";
30 dladdr((
void*)install_prefix, &dl_info);
31 path = dl_info.dli_fname;
32 wdir = path.substr(0, path.find_last_of(
'/'));
34 wdir = path.substr(0, path.find_last_of(
'/'));
47 GiNaC::registered_class_info Symbol::reg_info =
48 GiNaC::registered_class_info(GiNaC::registered_class_options(
"Symbol",
"symbol",
typeid(Symbol)));
50 GiNaC::registered_class_info iSymbol::reg_info =
51 GiNaC::registered_class_info(GiNaC::registered_class_options(
"iSymbol",
"symbol",
typeid(iSymbol)));
53 GiNaC::registered_class_info XIntegral::reg_info =
54 GiNaC::registered_class_info(GiNaC::registered_class_options(
"XIntegral",
"basic",
typeid(XIntegral)).print_func<print_dflt>(&
XIntegral::print));
56 GiNaC::registered_class_info Index::reg_info =
57 GiNaC::registered_class_info(GiNaC::registered_class_options(
"Index",
"basic",
typeid(Index)).print_func<print_context>(&
Index::print));
59 GiNaC::registered_class_info Vector::reg_info =
60 GiNaC::registered_class_info(GiNaC::registered_class_options(
"Vector",
"basic",
typeid(Vector)).print_func<print_context>(&
Vector::print));
62 GiNaC::registered_class_info SUNT::reg_info =
63 GiNaC::registered_class_info(GiNaC::registered_class_options(
"SUNT",
"basic",
typeid(SUNT)).print_func<print_dflt>(&
SUNT::print).print_func<FormFormat>(&
SUNT::form_print).print_func<FCFormat>(&
SUNT::fc_print));
65 GiNaC::registered_class_info SUNF::reg_info =
66 GiNaC::registered_class_info(GiNaC::registered_class_options(
"SUNF",
"basic",
typeid(SUNF)).print_func<print_dflt>(&
SUNF::print).print_func<FormFormat>(&
SUNF::form_print).print_func<FCFormat>(&
SUNF::fc_print));
68 GiNaC::registered_class_info SUNF4::reg_info =
71 GiNaC::registered_class_info DGamma::reg_info =
74 GiNaC::registered_class_info AsGamma::reg_info =
77 GiNaC::registered_class_info Eps::reg_info =
78 GiNaC::registered_class_info(GiNaC::registered_class_options(
"Eps",
"basic",
typeid(Eps)).print_func<print_dflt>(&
Eps::print).print_func<FormFormat>(&
Eps::form_print).print_func<FCFormat>(&
Eps::fc_print));
80 GiNaC::registered_class_info Pair::reg_info =
81 GiNaC::registered_class_info(GiNaC::registered_class_options(
"Pair",
"basic",
typeid(Pair)).print_func<print_dflt>(&
Pair::print).print_func<FormFormat>(&
Pair::form_print).print_func<FCFormat>(&
Pair::fc_print));
91 unsigned nopat = GiNaC::subs_options::no_pattern;
172 SD::CppFormat::_init::_init() {
173 set_print_func<numeric, CppFormat>(CppFormat::print_numeric);
175 SD::CppFormat::_init SD::CppFormat::CppFormat_init;
177 set_print_func<numeric, ExFormat>(ExFormat::print_numeric);
187 FCFormat::_init::_init() {
190 FCFormat::_init FCFormat::FCFormat_init;
192 FormFormat::_init::_init() {
195 FormFormat::_init FormFormat::FormFormat_init;
215 QGRAF::Process::_init::_init() {
218 auto qbar =
Symbol(
"qbar");
220 auto lbar =
Symbol(
"lbar");
222 auto ghbar =
Symbol(
"ghbar");
225 auto Qbar =
Symbol(
"Qbar");
227 auto Cbar =
Symbol(
"Cbar");
229 auto Bbar =
Symbol(
"Bbar");
231 auto nbar =
Symbol(
"nbar");
234 LineTeX[q] =
"fermion, edge label=$q$";
235 LineTeX[qbar] =
"anti fermion, edge label=$q$";
236 LineTeX[l] =
"fermion, edge label=$l$";
237 LineTeX[lbar] =
"anti fermion, edge label=$l$";
238 LineTeX[gh] =
"ghost, edge label=$\\chi$";
239 LineTeX[ghbar] =
"ghost, edge label=$\\chi$";
240 LineTeX[g] =
"gluon, edge label=$g$";
241 LineTeX[A] =
"photon, edge label=$\\gamma$";
242 LineTeX[Q] =
"fermion, edge label=$Q$";
243 LineTeX[Qbar] =
"anti fermion, edge label=$Q$";
244 LineTeX[C] =
"fermion, edge label=$c$";
245 LineTeX[Cbar] =
"anti fermion, edge label=$c$";
246 LineTeX[B] =
"fermion, edge label=$b$";
247 LineTeX[Bbar] =
"anti fermion, edge label=$b$";
248 LineTeX[n] =
"double distance=1.5pt";
249 LineTeX[nbar] =
"double distance=1.5pt";
250 LineTeX[e] =
"color=white";
252 VerTeX[lst{Qbar, e, nbar}] =
"[crossed dot]";
253 VerTeX[lst{nbar, e, g}] =
"[crossed dot]";
281 Symbol ghWmbar(
"ghWmbar");
283 Symbol ghWpbar(
"ghWpbar");
298 Symbol ntaubar(
"ntaubar");
305 lst fs = { U, D, C, S, T, B, em, mum, taum, ne, nmu, ntau};
306 lst fs2 = {Ubar, Dbar, Cbar, Sbar, Tbar, Bbar,
ep, mup, taup, nebar, nmubar, ntaubar};
307 string fsi[] = {
"$u$",
"$d$",
"$c$",
"$s$",
"$t$",
"$b$",
"$e$",
"$\\mu$",
"$\\tau$",
"$\\nu_e$",
"$\\nu_\\mu$",
"$\\nu_\\tau$" };
308 for(
int i=0; i<fs.nops(); i++) {
310 LineTeX[fs.op(i)] =
"fermion ,edge label="+si;
311 LineTeX[fs2.op(i)] =
"anti fermion ,edge label="+si;
314 LineTeX[Wp] =
"photon, edge label=$W$";
315 LineTeX[Wm] =
"photon, edge label=$W$";
316 LineTeX[Z] =
"photon, edge label=$Z$";
318 LineTeX[H]=
"scalar, edge label=$H$";
319 LineTeX[chi]=
"scalar, edge label=$\\chi$";
320 LineTeX[phim]=
"charged scalar, edge label=$\\phi$";
321 LineTeX[phip]=
"anti charged scalar, edge label=$\\phi$";
323 lst ghs = {gh, ghA, ghWm, ghWp, ghZ};
324 lst ghs2 = {ghbar, ghAbar, ghWmbar, ghWpbar, ghZbar};
325 string ghsi[] = {
"$c$",
"$c_\\gamma$",
"$c_-$",
"$c_+$",
"$c_Z$"};
327 for(
int i=0; i<ghs.nops(); i++) {
329 LineTeX[ghs.op(i)] =
"ghost ,edge label="+si;
330 LineTeX[ghs2.op(i)] =
"anti ghost ,edge label="+si;
334 QGRAF::Process::_init QGRAF::Process::Process_init;
344 int QCD::FF::cur_mode = 0;
350 int DEX::Threads = 8;
360 _global_init::_init::_init() {
365 auto opath = getenv(
"PATH");
366 if(opath != NULL) oss <<
":" << opath;
367 setenv(
"PATH", oss.str().c_str(),
true);
370 GiNaC::unarchive_table_t table;
371 table.insert(std::string(
"Symbol"), []()->GiNaC::basic*{
return new Symbol(); });
372 table.insert(std::string(
"iSymbol"), []()->GiNaC::basic*{
return new iSymbol(); });
373 table.insert(std::string(
"XIntegral"), []()->GiNaC::basic*{
return new XIntegral(); });
374 table.insert(std::string(
"Index"), []()->GiNaC::basic*{
return new Index(); });
375 table.insert(std::string(
"Vector"), []()->GiNaC::basic*{
return new Vector(); });
376 table.insert(std::string(
"SUNT"), []()->GiNaC::basic*{
return new SUNT(); });
377 table.insert(std::string(
"SUNF"), []()->GiNaC::basic*{
return new SUNF(); });
378 table.insert(std::string(
"SUNF4"), []()->GiNaC::basic*{
return new SUNF4(); });
379 table.insert(std::string(
"DGamma"), []()->GiNaC::basic*{
return new DGamma(); });
380 table.insert(std::string(
"AsGamma"), []()->GiNaC::basic*{
return new AsGamma(); });
381 table.insert(std::string(
"Eps"), []()->GiNaC::basic*{
return new Eps(); });
382 table.insert(std::string(
"Pair"), []()->GiNaC::basic*{
return new Pair(); });
385 cln::cl_inhibit_floating_point_underflow =
true;
389 _global_init::_init _global_init::init_object;
397((<sign><symmetry_factor>)*
398<in_loop>InField(<field>,<field_index>,<momentum>)*
400<back><out_loop>OutField(<field>,<field_index>,<momentum>)*
402<back><propagator_loop>Propagator(
403<back>Field(<field>,<field_index>),
404<back>Field(<dual-field>,<dual-field_index>),
407<back><vertex_loop>Vertex(
408<back><ray_loop>Field(<field>,<field_index>,<momentum>),
419[ model = 'Gluon FF Model' ]
426[qbar, q, g; QCD='+1']
427[Qbar, Q, g; QCD='+1']
428[g, g, g, g; QCD='+2']
430[ghbar, gh, g; QCD='+1']
431[nbar, n, g; QCD='+1']
432[nbar, e, g; QCD='+0']
437[ model = 'Quark FF Model' ]
440[e, ebar, -, external]
444[qbar, q, g; QCD='+1']
445[Qbar, Q, g; QCD='+1']
446[g, g, g, g; QCD='+2']
448[ghbar, gh, g; QCD='+1']
449[nbar, n, g; QCD='+1']
450[qbar, e, nbar; QCD='0']
451[ebar, q, nbar; QCD='0']
452[Qbar, e, nbar; QCD='0']
453[ebar, Q, nbar; QCD='0']
457% From Boehm, Denner, Joos @ Feynman Gauge
458[ model = 'Standard Model' ]
460%------------------------------------
462%------------------------------------
472% gluon and its ghost:
476% V: EWSM gauge bosons
489% G: Faddeev-Popov Ghosts
500%------------------------------------
502%------------------------------------
505[Ubar, U, g; QCD='+1', QED='0']
506[Dbar, D, g; QCD='+1', QED='0']
507[Sbar, S, g; QCD='+1', QED='0']
508[Cbar, C, g; QCD='+1', QED='0']
509[Bbar, B, g; QCD='+1', QED='0']
510[Tbar, T, g; QCD='+1', QED='0']
512[g, g, g, g; QCD='+2', QED='0']
513[g, g, g; QCD='+1', QED='0']
514[ghbar, gh, g; QCD='+1', QED='0']
517[Wp, Wm, Z, Z; QCD='0', QED='+2']
518[Wp, Wm, A, Z; QCD='0', QED='+2']
519[Wp, Wm, A, A; QCD='0', QED='+2']
520[Wp, Wp, Wm, Wm; QCD='0', QED='+2']
523[Wp, Wm, A; QCD='0', QED='+1']
524[Wp, Wm, Z; QCD='0', QED='+1']
527[H, H, H, H; QCD='0', QED='+2']
528[chi, chi, chi, chi; QCD='0', QED='+2']
529[H, H, chi, chi; QCD='0', QED='+2']
530[H, H, phim, phip; QCD='0', QED='+2']
531[chi, chi, phim, phip; QCD='0', QED='+2']
532[phim, phip, phim, phip; QCD='0', QED='+2']
535[H, H, H; QCD='0', QED='+1']
536[H, chi, chi; QCD='0', QED='+1']
537[H, phim, phip; QCD='0', QED='+1']
540[Z, Z, H, H; QCD='0', QED='+2']
541[Z, Z, chi, chi; QCD='0', QED='+2']
542[Wp, Wm, H, H; QCD='0', QED='+2']
543[Wp, Wm, chi, chi; QCD='0', QED='+2']
544[Wp, Wm, phip, phim; QCD='0', QED='+2']
546[A, A, phip, phim; QCD='0', QED='+2']
547[Z, A, phip, phim; QCD='0', QED='+2']
548[Z, Z, phip, phim; QCD='0', QED='+2']
550[Wp, A, phim, H; QCD='0', QED='+2']
551[Wm, A, phip, H; QCD='0', QED='+2']
552[Wp, A, phim, chi; QCD='0', QED='+2']
553[Wm, A, phip, chi; QCD='0', QED='+2']
554[Wp, Z, phim, H; QCD='0', QED='+2']
555[Wm, Z, phip, H; QCD='0', QED='+2']
556[Wp, Z, phim, chi; QCD='0', QED='+2']
557[Wm, Z, phip, chi; QCD='0', QED='+2']
560[Z, chi, H; QCD='0', QED='+1']
561[A, phip, phim; QCD='0', QED='+1']
562[Z, phip, phim; QCD='0', QED='+1']
563[Wp, phim, H; QCD='0', QED='+1']
564[Wm, phip, H; QCD='0', QED='+1']
565[Wp, phim, chi; QCD='0', QED='+1']
566[Wm, phip, chi; QCD='0', QED='+1']
569[H, Z, Z; QCD='0', QED='+1']
570[H, Wp, Wm; QCD='0', QED='+1']
571[phip, Wm, A; QCD='0', QED='+1']
572[phim, Wp, A; QCD='0', QED='+1']
573[phip, Wm, Z; QCD='0', QED='+1']
574[phim, Wp, Z; QCD='0', QED='+1']
577[Ubar, U, A; QCD='0', QED='+1']
578[Dbar, D, A; QCD='0', QED='+1']
579[Sbar, S, A; QCD='0', QED='+1']
580[Cbar, C, A; QCD='0', QED='+1']
581[Bbar, B, A; QCD='0', QED='+1']
582[Tbar, T, A; QCD='0', QED='+1']
584[ep, em, A; QCD='0', QED='+1']
585[mup, mum, A; QCD='0', QED='+1']
586[taup, taum, A; QCD='0', QED='+1']
588[Ubar, U, Z; QCD='0', QED='+1']
589[Dbar, D, Z; QCD='0', QED='+1']
590[Sbar, S, Z; QCD='0', QED='+1']
591[Cbar, C, Z; QCD='0', QED='+1']
592[Bbar, B, Z; QCD='0', QED='+1']
593[Tbar, T, Z; QCD='0', QED='+1']
595[ep, em, Z; QCD='0', QED='+1']
596[mup, mum, Z; QCD='0', QED='+1']
597[taup, taum, Z; QCD='0', QED='+1']
599[nebar, ne, Z; QCD='0', QED='+1']
600[nmubar, nmu, Z; QCD='0', QED='+1']
601[ntaubar, ntau, Z; QCD='0', QED='+1']
603[Dbar, U, Wm; QCD='0', QED='+1']
604[Dbar, C, Wm; QCD='0', QED='+1']
605[Dbar, T, Wm; QCD='0', QED='+1']
607[Sbar, U, Wm; QCD='0', QED='+1']
608[Sbar, C, Wm; QCD='0', QED='+1']
609[Sbar, T, Wm; QCD='0', QED='+1']
611[Bbar, U, Wm; QCD='0', QED='+1']
612[Bbar, C, Wm; QCD='0', QED='+1']
613[Bbar, T, Wm; QCD='0', QED='+1']
615[Ubar, D, Wp; QCD='0', QED='+1']
616[Ubar, S, Wp; QCD='0', QED='+1']
617[Ubar, B, Wp; QCD='0', QED='+1']
619[Cbar, D, Wp; QCD='0', QED='+1']
620[Cbar, S, Wp; QCD='0', QED='+1']
621[Cbar, B, Wp; QCD='0', QED='+1']
623[Tbar, D, Wp; QCD='0', QED='+1']
624[Tbar, S, Wp; QCD='0', QED='+1']
625[Tbar, B, Wp; QCD='0', QED='+1']
627[ep, ne, Wm; QCD='0', QED='+1']
628[mup, nmu, Wm; QCD='0', QED='+1']
629[taup, ntau, Wm; QCD='0', QED='+1']
631[nebar, em, Wp; QCD='0', QED='+1']
632[nmubar, mum, Wp; QCD='0', QED='+1']
633[ntaubar, taum, Wp; QCD='0', QED='+1']
636[Ubar, U, H; QCD='0', QED='+1']
637[Dbar, D, H; QCD='0', QED='+1']
638[Sbar, S, H; QCD='0', QED='+1']
639[Cbar, C, H; QCD='0', QED='+1']
640[Bbar, B, H; QCD='0', QED='+1']
641[Tbar, T, H; QCD='0', QED='+1']
643[ep, em, H; QCD='0', QED='+1']
644[mup, mum, H; QCD='0', QED='+1']
645[taup, taum, H; QCD='0', QED='+1']
647[Ubar, U, chi; QCD='0', QED='+1']
648[Dbar, D, chi; QCD='0', QED='+1']
649[Sbar, S, chi; QCD='0', QED='+1']
650[Cbar, C, chi; QCD='0', QED='+1']
651[Bbar, B, chi; QCD='0', QED='+1']
652[Tbar, T, chi; QCD='0', QED='+1']
654[ep, em, chi; QCD='0', QED='+1']
655[mup, mum, chi; QCD='0', QED='+1']
656[taup, taum, chi; QCD='0', QED='+1']
658[Dbar, U, phim; QCD='0', QED='+1']
659[Dbar, C, phim; QCD='0', QED='+1']
660[Dbar, T, phim; QCD='0', QED='+1']
662[Sbar, U, phim; QCD='0', QED='+1']
663[Sbar, C, phim; QCD='0', QED='+1']
664[Sbar, T, phim; QCD='0', QED='+1']
666[Bbar, U, phim; QCD='0', QED='+1']
667[Bbar, C, phim; QCD='0', QED='+1']
668[Bbar, T, phim; QCD='0', QED='+1']
670[Ubar, D, phip; QCD='0', QED='+1']
671[Ubar, S, phip; QCD='0', QED='+1']
672[Ubar, B, phip; QCD='0', QED='+1']
674[Cbar, D, phip; QCD='0', QED='+1']
675[Cbar, S, phip; QCD='0', QED='+1']
676[Cbar, B, phip; QCD='0', QED='+1']
678[Tbar, D, phip; QCD='0', QED='+1']
679[Tbar, S, phip; QCD='0', QED='+1']
680[Tbar, B, phip; QCD='0', QED='+1']
682[ep, ne, phim; QCD='0', QED='+1']
683[mup, nmu, phim; QCD='0', QED='+1']
684[taup, ntau, phim; QCD='0', QED='+1']
686[nebar, em, phip; QCD='0', QED='+1']
687[nmubar, mum, phip; QCD='0', QED='+1']
688[ntaubar, taum, phip; QCD='0', QED='+1']
691[ghWpbar, ghWp, A; QCD='0', QED='+1']
692[ghWmbar, ghWm, A; QCD='0', QED='+1']
693[ghAbar, ghWm, Wp; QCD='0', QED='+1']
694[ghAbar, ghWp, Wm; QCD='0', QED='+1']
695[ghWmbar, ghA, Wm; QCD='0', QED='+1']
696[ghWpbar, ghA, Wp; QCD='0', QED='+1']
697[ghWpbar, ghWp, Z; QCD='0', QED='+1']
698[ghWmbar, ghWm, Z; QCD='0', QED='+1']
699[ghZbar, ghWm, Wp; QCD='0', QED='+1']
700[ghZbar, ghWp, Wm; QCD='0', QED='+1']
701[ghWmbar, ghZ, Wm; QCD='0', QED='+1']
702[ghWpbar, ghZ, Wp; QCD='0', QED='+1']
705[ghZbar, ghZ, H; QCD='0', QED='+1']
706[ghWpbar, ghWp, H; QCD='0', QED='+1']
707[ghWmbar, ghWm, H; QCD='0', QED='+1']
708[ghWpbar, ghWp, chi; QCD='0', QED='+1']
709[ghWmbar, ghWm, chi; QCD='0', QED='+1']
710[ghWpbar, ghA, phip; QCD='0', QED='+1']
711[ghWmbar, ghA, phim; QCD='0', QED='+1']
712[ghWpbar, ghZ, phip; QCD='0', QED='+1']
713[ghWmbar, ghZ, phim; QCD='0', QED='+1']
714[ghZbar, ghWp, phim; QCD='0', QED='+1']
715[ghZbar, ghWm, phip; QCD='0', QED='+1']
720[ model = 'qcd Model' ]
721%------------------------------------
723%------------------------------------
727% gluon and its ghost:
732%------------------------------------
734%------------------------------------
736[qbar, q, g; QCD='+1']
737[Qbar, Q, g; QCD='+1']
738[g, g, g, g; QCD='+2']
740[ghbar, gh, g; QCD='+1']
742[qbar, q, A; QCD='+0']
743[Qbar, Q, A; QCD='+0']
class for AntiSymmetric Gamma object
void form_print(const FormFormat &c, unsigned level=0) const
void fc_print(const FCFormat &c, unsigned level=0) const
void print(const print_dflt &c, unsigned level=0) const
class for Dirac Gamma object
void form_print(const FormFormat &c, unsigned level=0) const
void print(const print_dflt &c, unsigned level=0) const
void fc_print(const FCFormat &c, unsigned level=0) const
class for Levi-Civita object https://onlinelibrary.wiley.com/doi/pdf/10.1002/9783527630097....
void fc_print(const FCFormat &c, unsigned level=0) const
void form_print(const FormFormat &c, unsigned level=0) const
Eps in FORM format https://onlinelibrary.wiley.com/doi/pdf/10.1002/9783527630097.app3 to make Tr(g5,...
void print(const print_dflt &c, unsigned level=0) const
void print(const print_context &c, unsigned level=0) const
static GiNaC::exmap Dimension
void form_print(const FormFormat &c, unsigned level=0) const
FormFormat print function.
void print(const print_dflt &c, unsigned level=0) const
default print function
void fc_print(const FCFormat &c, unsigned level=0) const
FCFormat print function.
void form_print(const FormFormat &c, unsigned level=0) const
print the Form Format
void fc_print(const FCFormat &c, unsigned level=0) const
void print(const print_dflt &c, unsigned level=0) const
normal priint
void print(const print_dflt &c, unsigned level=0) const
void form_print(const FormFormat &c, unsigned level=0) const
void fc_print(const FCFormat &c, unsigned level=0) const
void form_print(const FormFormat &c, unsigned level=0) const
void fc_print(const FCFormat &c, unsigned level=0) const
void print(const print_dflt &c, unsigned level=0) const
class extended to GiNaC symbol class, represent a positive symbol
static std::map< std::string, ex > Table
void print(const print_context &c, unsigned level=0) const
XIntegral Class, preface to SecDec.
void print(const print_dflt &c, unsigned level=0) const
class extended to GiNaC symbol class, pure imaginary symbol
static std::map< std::string, ex > Table
map< ex, string, ex_is_less > LineTeX
map< ex, string, ex_is_less > VerTeX
map< ex, string, ex_is_less > InOutTeX
int GiNaC_Parallel_Process
const int form_expand_none
map< string, bool > GiNaC_Parallel_RM
map< ex, long long, ex_is_less > fermat_weight
map< string, int > GiNaC_Parallel_NB
ex GAS(const ex &expr, unsigned rl)
function similar to GAD/GSD in FeynClac
const int form_trace_each_all
map< string, int > GiNaC_Parallel_NP
const int form_expand_all
map< string, int > GiNaC_Parallel_Verb
map< string, bool > GiNaC_Parallel_ReWR
const int o_normal_fermat
const int form_trace_each_each
const int form_trace_auto
bool dir_exists(string dir)
void set_precision(long prec, bool push)
map< string, string > GiNaC_Parallel_PRE
std::stack< cln::float_format_t > cln_prec_stack
std::stack< long > digits_stack