At , , with one-loop coefficient . Using the one-loop running equation, calculate at…

PHYSICS · Subjective · Fermi University Physics · Particle Physics & Quantum Fields · Loops, renormalisation and the renormalisation group · Beyond the Standard Model

Symmetry and Flavour, Ch Grand unification: running couplings, SU(5), proton decay and the hierarchy problem

Problem

At MZ=91.19 GeVM_Z = 91.19\,\mathrm{GeV}, α3−1(MZ)=8.47\alpha_3^{-1}(M_Z) = 8.47, with one-loop coefficient b3=−7b_3 = -7. Using the one-loop running equation, calculate αs\alpha_s at μ=1×1016 GeV\mu = 1\times10^{16}\,\mathrm{GeV}.

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