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elevant experimental and analysis resources, <strong>in</strong>clud<strong>in</strong>g<br />

the significant comput<strong>in</strong>g resources needed for trigger<strong>in</strong>g<br />

on hard probes and analys<strong>in</strong>g the data.<br />

Figure 12. Expected yield <strong>of</strong> several classes <strong>of</strong> hard processes as<br />

a function <strong>of</strong> transverse energy E T , resp. transverse momentum p T<br />

calculated for one month <strong>of</strong> Pb-runn<strong>in</strong>g with design lum<strong>in</strong>osity at<br />

5.5 TeV. (Courtesy <strong>of</strong> P. Jacobs and M. van Leeuwen)<br />

The first experiments with heavy ions at the LHC will<br />

mark the start <strong>of</strong> a discovery era, explor<strong>in</strong>g a vast, as<br />

yet uncharted k<strong>in</strong>ematic regime. In the above, we have<br />

highlighted fundamental open questions <strong>in</strong> the <strong>in</strong>vestigation<br />

<strong>of</strong> hard probes, which can be firmly motivated<br />

and can be addressed by experiments at the LHC. It is<br />

conceivable that, <strong>in</strong> addition, the much higher precision<br />

and much wider k<strong>in</strong>ematic range <strong>of</strong> the LHC br<strong>in</strong>gs further<br />

fundamental questions <strong>in</strong>to experimental focus, or that it<br />

reveals pr<strong>of</strong>ound new phenomena. S<strong>in</strong>ce the availability <strong>of</strong><br />

ion-beams at dedicated proton-proton colliders depends<br />

on many factors, it will be mandatory to react swiftly and<br />

to support strongly any experimental follow-up which may<br />

emerge dur<strong>in</strong>g the LHC discovery phase.<br />

Accord<strong>in</strong>g to our current understand<strong>in</strong>g, the full exploitation<br />

<strong>of</strong> the novel physics opportunities for hard probes<br />

at the high-energy frontier requires, first <strong>of</strong> all, a detailed<br />

exploration <strong>of</strong> the novel k<strong>in</strong>ematic regime with statistical<br />

and systematic precision. This calls for sufficient beam<br />

time close to nom<strong>in</strong>al lum<strong>in</strong>osity, as well as the availability<br />

<strong>of</strong> proton-proton, proton-Pb, and possibly lighter ion<br />

beams to be able to discrim<strong>in</strong>ate plasma properties from<br />

other nuclear effects. These require a long-term experimental<br />

programme. It also calls for full support <strong>of</strong> all<br />

F<strong>in</strong>ally, we emphasise the important role <strong>of</strong> nuclear<br />

theory <strong>in</strong> analys<strong>in</strong>g the vast amount <strong>of</strong> data on hard<br />

probes at hadron colliders. In the study <strong>of</strong> hard probes,<br />

nuclear theory faces the challenge to <strong>in</strong>terface a highly<br />

sophisticated and experimentally tested understand<strong>in</strong>g<br />

<strong>of</strong> hard QCD processes <strong>in</strong> the vacuum with an a<br />

priori unknown <strong>in</strong>teraction <strong>of</strong> these processes with the<br />

QCD plasma, <strong>in</strong>to which they will be embedded for the<br />

first time. The role <strong>of</strong> theory is not limited to provid<strong>in</strong>g<br />

firm first-pr<strong>in</strong>ciple calculations <strong>of</strong> the sensitivity <strong>of</strong> hard<br />

probes to QCD thermodynamic and transport properties.<br />

It also <strong>in</strong>cludes the development and further improvement<br />

<strong>of</strong> complex phenomenological modell<strong>in</strong>g tools,<br />

which are <strong>in</strong>dispensable for relat<strong>in</strong>g measured mediummodifications<br />

<strong>of</strong> hard processes to characteristic plasma<br />

properties. And it starts to <strong>in</strong>clude essential theoretical<br />

contributions to data analysis techniques, such as the<br />

recent developments <strong>of</strong> fast jet f<strong>in</strong>d<strong>in</strong>g algorithms, which<br />

can perform with<strong>in</strong> the high-multiplicity environment <strong>of</strong><br />

heavy ion collisions. This multi-faceted work is needed<br />

to identify new opportunities and to draw firm conclusions<br />

<strong>in</strong> a timely fashion. All work towards an improved<br />

<strong>in</strong>terplay between experiment and theory should be<br />

strongly supported.<br />

Saturated gluon matter – The knowledge <strong>of</strong> the density<br />

<strong>of</strong> quarks and gluons (partons <strong>in</strong> general) <strong>in</strong> a proton or<br />

a nucleus is crucial <strong>in</strong>formation for the understand<strong>in</strong>g<br />

<strong>of</strong> high-energy scatter<strong>in</strong>g. While the parton distribution<br />

functions (PDFs) are relatively well-known for the proton,<br />

nuclei cannot be treated as simple superpositions <strong>of</strong><br />

protons and neutrons. Their PDFs are subject to large<br />

uncerta<strong>in</strong>ties <strong>in</strong> k<strong>in</strong>ematic regions <strong>of</strong> <strong>in</strong>terest to current<br />

experiments.<br />

Even more <strong>in</strong>terest<strong>in</strong>gly, the parton density seen <strong>in</strong> a<br />

proton or nucleus is known to <strong>in</strong>crease at large momentum<br />

transfer Q 2 (i.e., high spatial resolution) when the<br />

momentum fraction x they carry decreases. At low parton<br />

density, this density <strong>in</strong>crease is l<strong>in</strong>ear and can successfully<br />

be described with<strong>in</strong> perturbative QCD. This <strong>in</strong>crease<br />

cannot, however, cont<strong>in</strong>ue <strong>in</strong>def<strong>in</strong>itely. At some po<strong>in</strong>t<br />

the large number density <strong>of</strong> gluons would violate fundamental<br />

unitarity bounds and, <strong>in</strong> fact, for large densities<br />

non-l<strong>in</strong>ear effects, become important and compensate<br />

the <strong>in</strong>crease with a correspond<strong>in</strong>g decrease due to gluon<br />

fusion processes. This balance <strong>of</strong> creation and annihilation<br />

leads to the so-called gluon saturation.<br />

Gluon saturation is a small x phenomenon that sets <strong>in</strong><br />

below a certa<strong>in</strong> characteristic scale <strong>in</strong> Q, the saturation<br />

scale Q s . This scale, and with it the momentum range<br />

<strong>Perspectives</strong> <strong>of</strong> <strong>Nuclear</strong> <strong>Physics</strong> <strong>in</strong> <strong>Europe</strong> – NuPECC Long Range Plan 2010 | 97

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