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- W4385227108 abstract "The maximal cut of the nonplanar crossed box diagram with all massive internal propagators was long ago shown to encode a hyperelliptic curve of genus 3 in momentum space. Surprisingly, in Baikov representation, the maximal cut of this diagram only gives rise to a hyperelliptic curve of genus 2. To show that these two representations are in agreement, we identify a hidden involution symmetry that is satisfied by the genus 3 curve, which allows it to be algebraically mapped to the curve of genus 2. We then argue that this is just the first example of a general mechanism by means of which hyperelliptic curves in Feynman integrals can drop from genus $g$ to $lceil g/2 rceil$ or $lfloor g/2 rfloor$, which can be checked for algorithmically. We use this algorithm to find further instances of genus drop in Feynman integrals." @default.
- W4385227108 created "2023-07-25" @default.
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- W4385227108 date "2023-07-21" @default.
- W4385227108 modified "2023-10-18" @default.
- W4385227108 title "Genus Drop in Hyperelliptic Feynman Integrals" @default.
- W4385227108 doi "https://doi.org/10.48550/arxiv.2307.11497" @default.
- W4385227108 hasPublicationYear "2023" @default.
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