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X-FROM-URL:https://eom.sdu.dk/events/ical/63fe8482-aa1d-423f-b73d-294bf50d
 354d
X-WR-CALNAME:QM Research Seminar: Analytic Reconstruction and Algebro-Geom
 etric Structures in QCD: Two-Loop $pp \rightarrow Vjj$ in the leading-col
 our approximation
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TZID:Europe/Copenhagen
X-LIC-LOCATION:Europe/Copenhagen
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DTSTAMP:20260602T163052Z
DTSTART:20261028T030000
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DTSTART:20260325T020000
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DESCRIPTION:Loop amplitudes are central to precision collider phenomenolog
 y\, yet their computation remains a major challenge due to the complexity
  of intermediate steps. A powerful modern strategy is to bypass this comp
 lexity through numerical evaluations over finite fields\, followed by the
  reconstruction of the amplitudes’ analytic form from a set of numerical 
 samples using number-theoretic and algebro-geometric techniques. In this 
 talk\, I will present the recent computation of the two-loop leading-colo
 ur amplitudes for the production of a heavy electroweak vector boson\, $V
 =\\\{W^\pm\,Z\,\gamma^*\\\}$\, in association with two light jets at hadr
 on colliders ($pp\rightarrow Vjj$) [arXiv:2503.10595]\, including leptoni
 c decays of the electroweak boson ($V\rightarrow \ell\bar{\ell}$). Compar
 ed to the previous state-of-the-art result [arXiv:2110.07541]\, the new a
 pproach achieves a three-order-of-magnitude reduction in size (1.4 GB to 
 1.9 MB)\, while also lowering the number of required numerical samples fr
 om one million to fifty thousand. I will outline the core ingredients of 
 this computation: a basis-change algorithm in the vector space of rationa
 l functions based on correlations among multivariate residues\; numerical
  sampling in number fields with non-Archimedean metrics (finite fields an
 d $p$-adic numbers)\; the use of redundant spinor-helicity variables orga
 nised via polynomial quotient rings\; and the role of primary decompositi
 ons in identifying allowed multivariate partial fraction decompositions. 
 These methods not only yield efficient and stable results ready for pheno
 menological applications\, but also expose structural features that we ex
 pect to generalise to more complex multi-loop amplitudes.
DTEND:20251006T140000Z
DTSTAMP:20260602T163052Z
DTSTART:20251006T130000Z
LOCATION:Syddansk Universitet\, Campusvej 55\, 5230\, Odense M
SEQUENCE:0
SUMMARY:QM Research Seminar: Analytic Reconstruction and Algebro-Geometric
  Structures in QCD: Two-Loop $pp \rightarrow Vjj$ in the leading-colour a
 pproximation
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