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CERN-THESIS-2012-153 26/07/2012 - CERN Document Server

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ut instead fragment to color neutral hadrons [76].<br />

Hard Processes<br />

There are many different possible hard processes. They can be classified according to the number of final-<br />

state objects. The more particles in the final-state, the more complicated phase space. Similarly, they can<br />

be classified according to the physics scenario:<br />

• Hard QCD processes (e.g. qg → qg).<br />

• Soft QCD processes (e.g. diffractive and elastic scattering).<br />

• Heavy flavor production (e.g. gg → t¯t).<br />

• Prompt-photon production (e.g. qg → qγ) and photon-induced processes (e.g. γg → q¯q).<br />

• Vector boson production (e.g. q¯q → W + W − ).<br />

• SM Higgs production (if Higgs is reasonably light and narrow, it can still be considered a resonance).<br />

• Some BSM scenarios (e.g. SUSY, production of new gauge bosons, non standard Higgs production,<br />

leptonquark production).<br />

The list above is not exhaustive.<br />

Parton Distributions<br />

The cross section for a processes ij → k is given by:<br />

<br />

σij→k = dx1<br />

Here ˆσij→k is the cross section for the hard partonic process. f a i<br />

dx2f 1 i (x1)f 2 j (x2)ˆσij→k. (4.1)<br />

(x) are the parton-distribution functions<br />

(PDF), which describe the probability to find a parton i inside beam particle a, with parton i carrying<br />

a fraction x of the total a momentum. Parton distributions also depend on some momentum scale, q 2 ,<br />

that characterizes the hard process. Since a derivation of hadron PDFs from first principles does not yet<br />

exist, it is necessary to rely on parameterizations, where experimental data are used in conjunction with the<br />

42

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