Question

Use (10.51) and (10.52) to show that $$ P_{q q}(z)=\frac{4}{3} \frac{1+z^2}{(1-z)_{+}}+2 \delta(1-z) . $$

   Use (10.51) and (10.52) to show that
$$
P_{q q}(z)=\frac{4}{3} \frac{1+z^2}{(1-z)_{+}}+2 \delta(1-z) .
$$

Quarks and leptons: introductory course in modern particle physics

Quarks and leptons: introductory course in modern particle physics

Francis Halzen, Alan… 1st Edition

Chapter 10, Problem 13

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Step 1

The equation we are asked to show is a typical expression for the splitting function \( P_{qq}(z) \) in quantum chromodynamics (QCD), which describes the probability of a quark emitting a gluon and thus splitting into another quark. The terms (10.51) and (10.52) Show more…

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Use (10.51) and (10.52) to show that $$ P_{q q}(z)=\frac{4}{3} \frac{1+z^2}{(1-z)_{+}}+2 \delta(1-z) . $$

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