Two-loop master integrals for a planar topology contributing to pp → tt-j
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Two-loop master integrals for a planar topology contributing to pp → tt-j. / Badger, Simon; Becchetti, Matteo; Chaubey, Ekta; Marzucca, Robin.
I: Journal of High Energy Physics, Bind 2023, Nr. 1, 156, 26.01.2023.Publikation: Bidrag til tidsskrift › Tidsskriftartikel › Forskning › fagfællebedømt
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TY - JOUR
T1 - Two-loop master integrals for a planar topology contributing to pp → tt-j
AU - Badger, Simon
AU - Becchetti, Matteo
AU - Chaubey, Ekta
AU - Marzucca, Robin
PY - 2023/1/26
Y1 - 2023/1/26
N2 - We consider the case of a two-loop five-point pentagon-box integral configuration with one internal massive propagator that contributes to top-quark pair production in association with a jet at hadron colliders. We construct the system of differential equations for all the master integrals in a canonical form where the analytic form is reconstructed from numerical evaluations over finite fields. We find that the system can be represented as a sum of d-logarithmic forms using an alphabet of 71 letters. Using high precision boundary values obtained via the auxiliary mass flow method, a numerical solution to the master integrals is provided using generalised power series expansions.
AB - We consider the case of a two-loop five-point pentagon-box integral configuration with one internal massive propagator that contributes to top-quark pair production in association with a jet at hadron colliders. We construct the system of differential equations for all the master integrals in a canonical form where the analytic form is reconstructed from numerical evaluations over finite fields. We find that the system can be represented as a sum of d-logarithmic forms using an alphabet of 71 letters. Using high precision boundary values obtained via the auxiliary mass flow method, a numerical solution to the master integrals is provided using generalised power series expansions.
KW - Higher-Order Perturbative Calculations
KW - Top Quark
KW - DIFFERENTIAL-EQUATIONS
KW - EPSILON
KW - PARTS
KW - TOOL
U2 - 10.1007/JHEP01(2023)156
DO - 10.1007/JHEP01(2023)156
M3 - Journal article
VL - 2023
JO - Journal of High Energy Physics (Online)
JF - Journal of High Energy Physics (Online)
SN - 1126-6708
IS - 1
M1 - 156
ER -
ID: 342567289