GTMD matching functions at one loop

This repository accompanies the paper in which the one-loop GTMD matching functions on GPDs are presented. The sample codes in the folder code can be used to reproduce the plots in the paper.

In order to run the codes, a few dependencies need to be installed prior to compilation:

• PARTONSv3,
• APFEL++,
• NangaParbat.

Compilation

In order to compile the code, you need to edit the Makefile in the code folder to adjust the compiler (CXX) and set the correct path to the PARTONS libraries (PARTONSLIBS) and includes (PARTONSINCS). Once this is done, typing make will compile the codes producing a number of executables. A more detailed description of the output of each executable can be found in the corresponding source code.

References

If you use this code, please make sure to cite the paper of the calculation:

• V. Bertone, Matching generalised transverse-momentum-dependent distributions onto generalised parton distributions at one loop, arXiv:2207.09526,

as well the publications of the dependency softwares:

• B. Berthou et al., PARTONS: PARtonic Tomography Of Nucleon Software : A computing framework for the phenomenology of Generalized Parton Distributions arXiv:1512.06174 for PARTONS,
• V. Bertone, S. Carrazza, and J. Rojo, APFEL: A PDF Evolution Library with QED corrections, arXiv1310.1394 and V. Bertone, APFEL++: A new PDF evolution library in C++ arXiv:1708.00911 for APFEL++
• A. Bacchetta et al., Transverse-momentum-dependent parton distributions up to N3LL from Drell-Yan data, arXiv:1912.07550 for NangaParbat.

Contact

Questions and/or suggestions can be addressed to:

• Valerio Bertone: valerio.bertone@cern.ch