PDF Selection

This page contains three subsections. The first deals with how to pick the parton distribution set for protons, including from LHAPDF, to be used for all proton and antiproton beams. The second is a special option that allows a separate PDF set to be used for the hard process only, while the first choice would still apply to everything else. The third gives the possibility to switch off the lepton "parton density".

Parton densities for protons

There is one main physics choice to be made with the Pythia class, namely which parton densities to use, a choice that then is propagated through the program.
Warning 1: the choice of PDF set affects a number of properties of events. A change of PDF therefore requires a complete retuning e.g. of the multiple-interactions model for minimum-bias and underlying events.
Warning 2: People often underestimate the differences between different sets on the market. The sets are constructed to behave more or less similarly at large x and Q2, while the multiple interactions are dominated by the behaviour in the region of small x and Q2. A good PDF parametrization ought to be sensible down to x = 10^{-6} (x = 10^{-7}) and Q2 = 1 GeV2 for Tevatron (LHC) applications. Unfortunately there are distributions on the market that completely derail in that region. The main41.cc and main42.cc programs in the examples subdirectory provide some examples of absolutely minimal sanity checks before a new PDF set is put in production.
Warning 3: Do not blindly assume that an NLO tune has to be better than an LO one when combined with the LO matrix elements in PYTHIA. There are explicit examples where such thinking can lead you down the wrong alley.

The simplest option is to pick one of the few distributions available internally:

mode  PDF:pSet   (default = 2; minimum = 1; maximum = 2)
Parton densities to be used for proton beams (and, by implication, antiproton ones):
option 1 : GRV 94 L;
option 2 : CTEQ 5 L.

Obviously this choice is mainly intended to get going, and if you link to the LHAPDF library [Wha05] you get access to a much wider selection.

flag  PDF:useLHAPDF   (default = off)
If off then the choice of proton PDF is based on pPDFset above. If on then it is instead based on the choice of LHAPDFset and LHAPDFmember below.
Note: in order for this option to work you must have compiled PYTHIA appropriately and have set the LHAPATH environment variable to provide the data-files directory of your local LHAPDF installation. See the README file in the examples directory for further instructions.

word  PDF:LHAPDFset   (default = MRST2004FF4lo.LHgrid)
Name of proton PDF set from LHAPDF to be used. You have to choose from the list of available sets. Examples of some recent ones would be cteq61.LHpdf, cteq61.LHgrid, cteq6l.LHpdf, cteq6ll.LHpdf, MRST2004nlo.LHpdf, MRST2004nlo.LHgrid, MRST2004nnlo.LHgrid and MRST2004FF3lo.LHgrid. If you pick a LHpdf set it will require some calculation the first time it is called.
Technical note: if you provide a name beginning with a slash (/) it is assumed you want to provide the full file path and then initPDFsetM(name) is called, else the correct path is assumed already set and initPDFsetByNameM(name) is called.

mode  PDF:LHAPDFmember   (default = 0; minimum = 0)
Further choice of a specific member from the set picked above. Member 0 should normally correspond to the central value, with higher values corresponding to different error PDF's somewhat off in different directions. You have to check from set to set which options are open.
Note: you can only use one member in a run, so if you want to sweep over many members you either have to do many separate runs or, as a simplification, save the pdf weights at the hard scattering and do an offline reweighting of events.

The current LHAPDF code does not provide a way to find the x and Q2 limits of a set, nor does it guarantee a sensible behaviour outside of those limits. (The LHAGLUE interface fixes this problem, but is not used here. The limits are reported in the PDF set list, however.) Error messages may abound, or execution may stop unexpectedly. In a near future it will become possible to interrogate the limits. Meanwhile you can yourself require that PDF's should only be invoked in a specified range, to avoid problems.

flag  PDF:limitLHAPDF   (default = on)
If on then you can set x and Q2 limits below.

parm  PDF:xMinLHAPDF   (default = 1e-6)
Freeze x f_i(x, Q2) below this x value.

parm  PDF:xMaxLHAPDF   (default = 0.9999)
Set x f_i(x, Q2) = 0 above this x value.

parm  PDF:Q2MinLHAPDF   (default = 1.)
Freeze x f_i(x, Q2) below this Q2 value.

parm  PDF:Q2MaxLHAPDF   (default = 1e8)
Freeze x f_i(x, Q2) above this Q2 value.

If you want to use PDF's not found in LHAPDF, or you want to interface LHAPDF another way, you have full freedom to use the more generic interface options.

Parton densities for protons in the hard process

The above options provides a PDF set that will be used everywhere: for the hard process, the parton showers and the multiple interactions alike. As already mentioned, therefore a change of PDF should be accompanied by a complete retuning of the whole MI framework, and maybe more. There are cases where one may want to explore different PDF options for the hard process, but would not want to touch the rest. If several different sets are to be compared, a simple reweighting based on the originally used flavour, x, Q2 and PDF values may offer the best route. The options in this section allow a choice of the PDF set for the hard process alone, while the choice made in the previous section would still be used for everything else. The hardest interaction of the minimum-bias process is part of the multiple-interactions framework and so does not count as a hard process here.

Of course it is inconsistent to use different PDF's in different parts of an event, but if the x and Q2 ranges mainly accessed by the components are rather different then the contradiction would not be too glaring. Furthermore, since standard PDF's are one-particle-inclusive we anyway have to 'invent' our own PDF modifications to handle configurations where more than one parton is kicked out of the proton [Sjo04].

The PDF choices that can be made are the same as above, so we do not repeat the detailed discussion.

flag  PDF:useHard   (default = off)
If on then select a separate PDF set for the hard process, using the variables below. If off then use the same PDF set for everything, as already chosen above.

mode  PDF:pHardSet   (default = 2; minimum = 1; maximum = 2)
Parton densities to be used for proton beams (and, by implication, antiproton ones):
option 1 : GRV 94 L;
option 2 : CTEQ 5 L.

flag  PDF:useHardLHAPDF   (default = off)
If off then the choice of proton PDF is based on hardpPDFset above. If on then it is instead based on the choice of hardLHAPDFset and hardLHAPDFmember below.

word  PDF:hardLHAPDFset   (default = MRST2004FF4lo.LHgrid)
Name of proton PDF set from LHAPDF to be used.

mode  PDF:hardLHAPDFmember   (default = 0; minimum = 0)
Further choice of a specific member from the set picked above.

flag  PDF:limitHardLHAPDF   (default = on)
If on then you can set x and Q2 limits below.

parm  PDF:xMinHardLHAPDF   (default = 1e-6)
Freeze x f_i(x, Q2) below this x value.

parm  PDF:xMaxHardLHAPDF   (default = 0.9999)
Set x f_i(x, Q2) = 0 above this x value.

parm  PDF:Q2MinHardLHAPDF   (default = 1.)
Freeze x f_i(x, Q2) below this Q2 value.

parm  PDF:Q2MaxHardLHAPDF   (default = 1e8)
Freeze x f_i(x, Q2) above this Q2 value.

Parton densities for leptons

For electrons/leptons there is no need to choose between different parametrizations, since only one implementation is available, and should be rather uncontroversial (apart from some technical details). However, insofar as e.g. e^+ e^- data often are corrected back to a world without any initial-state photon radiation, it is useful to have a corresponding option available here.

flag  PDF:lepton   (default = on)
Use parton densities for lepton beams or not. If off the colliding leptons carry the full beam energy, if on part of the energy is radiated away by initial-state photons. In the latter case the initial-state showers will generate the angles and energies of the set of photons that go with the collision. In addition one collinear photon per beam carries any leftover amount of energy not described by shower emissions. If the initial-state showers are switched off these collinear photons will carry the full radiated energy.