Standard Model and Beyond · Problem 6.4

The Weak Interactions

Physics — Particle Physics · top-quark-production-cross-section

Problem

(a) Calculate the cross sections for

p\bar{p} \to t\bar{t}

\sqrt{s} = 2

TeV (Tevatron) and for

pp \to t\bar{t}

at 8 and 14 TeV (LHC). Give the individual contributions of

q\bar{q}

(summed over

q = u,d,s,c

) and

GG

. The relevant parton level cross sections were calculated in Problem 5.6, can be found in (Patrignani, 2016), or can be inferred from (2.232) for

q\bar{q}

. Use LO PDFs and neglect the running of

\alpha_s \sim 0.1

. (b) Plot the contributions of

q\bar{q}

GG

, and their sum to

d\sigma(p\bar{p} \to t\bar{t})/dy

(in units of pb) and to the

t

-quark

p_T

distribution

d\sigma(p\bar{p} \to t\bar{t})/dp_T

(in pb/GeV), both at 2 TeV.