Solution

ID: past-exam-of-the-mathematics-course-of-the-university-of-cambridge/2023/iii/paper-305/4/d/solution

The strange quark is light enough compared with typical hadronic scales to permit an approximate
chiral expansion. It adds kaons and the eta to the pseudo-Goldstone multiplet, although convergence is poorer because is substantially larger than .
The charm quark is too heavy for the same light-flavour chiral expansion. At low energies it is integrated out; processes containing charm are instead treated using heavy-quark expansions or other effective theories. Thus the analysis extends approximately to , but not to as another pseudo-Goldstone-producing light flavour.

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