Just after the fixation of an advantageous allele in the population (this spread is called a selective sweep), the
neutral genes close to the site under selection tend to have the same ancestor as the gene under selection.
However, some recombinations may occur during the selective sweep and break the link, which reduces the number of
hitchhiking alleles. We consider a large selection coefficient α and extend the results of Etheridge,
Pfaffelhuber and Wakolbinger (2006) and the work of Pfaffelhuber and Studeny (2007) about genetic hitchhiking,
where the recombination rate scales with α/log α. We first describe the genealogy at an arbitrary
number of partially linked neutral loci, with an order of accuracy of 𝓞(1/(log α)2) in total
variation. Then, we use this framework to obtain an approximate distribution for the size of the hitchhiking set
at the end of the selective sweep, with the same accuracy.
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