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SUMMARY:Three-loop jet function for boosted heavy quarks
DTSTART;VALUE=DATE-TIME:20241119T130000Z
DTEND;VALUE=DATE-TIME:20241119T131500Z
DTSTAMP;VALUE=DATE-TIME:20260421T044425Z
UID:indico-contribution-25291@indico.ific.uv.es
DESCRIPTION:Speakers: Alberto Martín Clavero (Universidad de Salamanca (U
 SAL))\nEvent shapes for massless quarks in $e^+e^−$ colliders have been 
 widely used to investigate the gauge structure of the strong interactions\
 , tune Monte Carlo simulations\, learn about hadronization\, and to determ
 ine the strong coupling with high precision. For the production of primary
  top quarks\, it has been shown that a class of event shapes related to th
 e invariant mass of the hemisphere can be used to measure the top quark ma
 ss with a precision smaller than $\\Lambda_{QCD}$ . The maximal sensitivit
 y to the top mass — which plays a central role in testing the validity o
 f the Standard Model— is attained in the peak of the distribution\, wher
 e both Boosted Heavy Quark Effective Theory (bHQET)\, and Soft Collinear E
 ffective Theory (SCET) are applicable.\n\nThe use of Effective Field Theor
 ies (EFTs) allows for the factorization of expressions for various observa
 bles\, effectively separating contributions from different physical scales
 . In these factorized expressions\, the jet function —previously known a
 t two loops— emerges as a universal ingredient\, common to many observab
 les. Thus\, computing the jet function at higher perturbative orders is wa
 rranted. However\, studying processes at more than one loop requires dedic
 ated techniques to handle the large number of Feynman diagrams that contri
 bute. In this talk we will present our analytic computation of the three-l
 oop jet function for boosted heavy quarks.\n\nWe will briefly discuss the 
 main properties and renormalization of the jet function and outline the wo
 rkflow for a fixed-order calculation\, including the strategies used for e
 valuating the master integrals. The three-loop piece of the jet function i
 n dimensional regularization will be presented\, and several important tes
 ts of our results will be discussed. Our computation provides the last mis
 sing piece to obtain the N$^3$LL′ resummed (self-normalized) thrust dist
 ribution used for the calibration of the top quark mass parameter in parto
 n-shower Monte Carlo generators. Additionally\, it contributes to the N$^3
 $LL′-accurate invariant mass distribution of reconstructed top quarks\, 
 which can be employed for a precise top mass determination at future lepto
 n colliders.\n\nhttps://indico.ific.uv.es/event/7664/contributions/25291/
LOCATION:
URL:https://indico.ific.uv.es/event/7664/contributions/25291/
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