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Particle Physics - High Energy Physics Group

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Colour Factors : Quarks vs Anti-Quarks<br />

• Recall the colour part of wave-function:<br />

• The QCD qqg vertex was written:<br />

Now consider the anti-quark vertex<br />

• The QCD qqg vertex is:<br />

q<br />

q<br />

Note that the incoming anti-particle now enters on the LHS of the expression<br />

•For which the colour part is<br />

i.e indices ij are<br />

swapped with respect<br />

to the quark case<br />

• Hence<br />

• c.f. the quark - gluon QCD interaction<br />

Prof. M.A. Thomson Michaelmas 2009 265<br />

Finally we can consider the quark – anti-quark annihilation<br />

q<br />

QCD vertex:<br />

with<br />

q<br />

Prof. M.A. Thomson Michaelmas 2009 266

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