# PEPSI

PEPSI (Polarised Electron Proton Scattering Interactions) [1] is a Monte Carlo generator for polarised deep inelastic scattering (pDIS). It is based on the LEPTO 4.3 Monte Carlo for unpolarised DIS.

## PEPSI References

(1) *"PEPSI - a Monte Carlo generator for polarized leptoproduction"*, L. Mankiewicz, A. Schäfer and M. Veltri, Comp. Phys. Comm. **71**, 305-318 (1992).

## Parton distribution functions

The distribution function to use in polarised leptoproduction is set via the variable `LST(15)` in the LEPTO `COMMON` block `/LEPTOU/`. Tables 1 and 2 list internal allowed values of `LST(15)` for polarised and unpolarised distributions respectively.

Pepsi is linked with the pdflib such all PDFs included in there can be used by setting `LST(15)` to the respective PDF-ID

#### PEPSI processes important in ep

Subprocess | # | Description |
---|---|---|

DIRECT | ||

γ∗q → q | 1 | LO DIS |

γ∗ q → qg | 2 | QCDC |

γ∗ g → q qbar | 3 | PGF |

QCDC: QCD-Compton, radiation of a gluon from incoming or outgoing quark lines

PGF: Photon Gluon Fusion

## Running PEPSI

the code can be found on the afs directory for EIC at BNL

"/afs/rhic.bnl.gov/eic/PACKAGES/PEPSI"

this is code is based on PEPSI/LEPTO and was modified to include radiative corrections using RadGen.

The main program is in the same directory and called pepsiMaineRHIC_radcorr.v2.f, several other routines are needed, which are in the same directory.

The executable is in the same directory and called pepsieRHICwithRAD

There are several steer files (named: input.data. XXXXX.eic) provided in this directory to run PEPSI and get reasonable output.
PEPSI has to be run twice if polarized asymmetries should be generated, once for parallel, lepton and proton beam spin direction parallel, and antiparallel
spin state.

### How to Run the Code

#### without radiative corrections

pepsieRHICwithRAD < input.data_noradcor.eic > XXX.log

input.data_noradcor.eic is one of the steer file examples in the directory to run PEPSI with settings tuned for Hermes, and/or H1 and ZEUS.

#### with radiative corrections

- create a directory called radgen in the area you want to run the code
- you either need to generate the lookup table for your cuts and beam energy settings first

pythiaeRHIC < input.data_make-radcor.eic

- or you can use one of the files already generated

the directories are in

"/afs/rhic.bnl.gov/eic/PACKAGES/PYTHIA-RAD-CORR"

and called radgen(ebeamB)x(pbeamE), like radgen10x100 or radgen4x100 or .......

- to run the code than with radiative corrections simply change the steer file to either

input.data_radcor.eic or input.data_radcor.VM.eic and type pythiaeRHIC < input.data_radcor.eic > XXX.log

### Output file structure

the output file is in a text format which has the following structure.

- 1st line: PYTHIA EVENT FILE
- 2nd line: "============================================"

- 3rd line: Information on event wise variables stored in the file

I: | 0 (line index) |

ievent: | eventnumber running from 1 to XXX |

genevent: | trials to generate this event |

subprocess: | pythia subprocess (MSTI(1)), for details see table above |

nucleon: | hadron beam type (MSTI(12)) |

targetparton: | parton hit in the target (MSTI(16)) |

xtargparton: | x of target parton (PARI(34)) |

beamparton: | in case of resolved photon processes and soft VMD the virtual photon has a hadronic structure. This gives the info which parton interacted with the target parton (MSTI(15)) |

xbeamparton: | x of beam parton (PARI(33)) |

thetabeamparton: | theta of beam parton (PARI(53)) |

truey, trueQ2, truex, trueW2, trueNu: | are the kinematic variables of the event. |

If radiative corrections are turned on they are different from what is calculated from the scattered lepton. | |

If radiative corrections are turned off they are the same as what is calculated from the scattered lepton | |

leptonphi: | phi of the lepton (VINT(313)) |

s_hat: | shat of the process (PARI(14)) |

t_hat: | Mandelstam t (PARI(15)) |

u_hat: | Mandelstm u (PARI(16)) |

pt2_hat: | pthat^2 of the hard scattering (PARI(18)) |

Q2_hat: | Q2hat of the hard scattering (PARI(22)), |

F2, F1, R, sigma_rad, SigRadCor: | information used and needed in the radiative correction code |

EBrems: | energy of the radiative photon in the nuclear rest frame |

photonflux: | flux factor from PYTHIA (VINT(319)) |

nrTracks: | number of tracks in this event, includes also virtual particles |

- 4th line: "============================================"

- 5th line: Information on track wise variables stored in the file

I: | line index, runs from 1 to nrTracks |

K(I,1): | status code KS (1: stable particles 11: particles which decay 55; radiative photon) |

K(I,2): | particle KF code (211: pion, 2112:n, ....) |

K(I,3): | line number of parent particle |

K(I,4): | normally the line number of the first daughter; it is 0 for an undecayed particle or unfragmented parton |

K(I,5): | normally the line number of the last daughter; it is 0 for an undecayed particle or unfragmented parton. |

P(I,1): | px of particle |

P(I,2): | py of particle |

P(I,3): | pz of particle |

P(I,4): | Energy of particle |

P(I,5): | mass of particle |

V(I,1): | x vertex information |

V(I,2): | y vertex information |

V(I,3): | z vertex information |

- 6th line: "============================================"
- 7th line: event information for first event
- 8th line: "============================================"
- 9th to X-1 line: trackwise info of 1st event
- Xth line "=============== Event finished ==============="

**the information from line 7 to X repeats for each event.**

### How to analyze events

- create a root tree

there are root macros available to convert the output txt-files into root trees.

Details how to run the macros can be found [here]

##### MC normalization

to normalize your counts to cross section you need two informations

- the total number of trials (NGEN(0,3)), it is printed to the screen/logfile if PYTHIA finishes
- the total integrated cross section (PARI(1)), the unit is microbarn (10^-6), it is printed to the screen/logfile if PYTHIA finishes

==> count * total integrated cross section /total number of trials

to calculate the corresponding luminosity

==> total number of trials/ total integrated cross section

## Documentation on Radiative Corrections:

the code implemented in PTHIA to calculate radiative corrections is called RADGEN

The writeup on it can be found here [hep-ph/9906408]

The following steps have been done to implement it in PYTHIA:

- change the subroutine pygaga.f so it calls radgen after you have thrown y and Q2
- get the true y and Q2 from radgen and the radiated photon
- Pythia will continue to now generate an event based on this y and Q2
- Pythia still operates under accept reject, the extra weigt from the radiative corrections is absorbed in the flux factor