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
The selection of parton densities is made once and then is propagated
through the program. It is essential to make an informed choice,
for several reasons:
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 for the same order are
constructed to behave more or less similarly at large x and
Q^2, while the multiple interactions are dominated by the
behaviour in the region of small x and Q^2. A good
PDF parametrization ought to be sensible down to x = 10^-6
(x = 10^-7) and Q^2 = 1 GeV^2 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: NLO and LO sets tend to have quite different
behaviours, e.g. NLO ones have less gluons at small x, which then is
compensated by positive corrections in the NLO matrix elements.
Therefore 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.
Warning: owing to previous problems with the behaviour of PDF's
beyond the x and Q^2 boundaries of a set, you should
only use LHAPDF version 5.3.0 or later.
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.
flag
PDF:extrapolateLHAPDF
(default = off
)
Parton densities have a guaranteed range of validity in x
and Q^2, and what should be done beyond that range usually is
not explained by the authors of PDF sets. Nevertheless these boundaries
very often are exceeded, e.g. minimum-bias studies at LHC may sample
x values down to 10^-8, while many PDF sets stop
already at 10^-5. The default behaviour is then that the
PDF's are frozen at the boundary, i.e. xf(x,Q^2) is fixed at
its value at x_min for all values x < x_min,
and so on. This is a conservative approach. Alternatively, if you
switch on extrapolation, then parametrizations will be extended beyond
the boundaries, by some prescription. In some cases this will provide a
more realistic answer, in others complete rubbish. Another problem is
that some of the PDF-set codes will write a warning message anytime the
limits are exceeded, thus swamping your output file. Therefore you should
study a set seriously before you run it with this switch on.
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, Q^2 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 Q^2 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.
Note that there is no separate equivalent of the
PDF:extrapolateLHAPDF
flag specifically for the hard
PDF. Since LHAPDF only has one global flag for extrapolation or not,
the choice for the normal PDF's also applies to the hard ones.
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.
Incoming parton selection
There is one useful degree of freedom to restrict the set of incoming
quark flavours for hard processes. It does not change the PDF's as such,
only which quarks are allowed to contribute to the hard-process cross
sections. Note that separate but similarly named modes are available
for multiple interactions and spacelike showers.
mode
PDFinProcess:nQuarkIn
(default = 5
; minimum = 0
; maximum = 5
)
Number of allowed incoming quark flavours in the beams; a change
to 4 would thus exclude b and bbar as incoming
partons, etc.