scholarly journals Higgs-boson production in top-quark fragmentation

2021 ◽  
Vol 2021 (8) ◽  
Author(s):  
Colomba Brancaccio ◽  
Michał Czakon ◽  
Terry Generet ◽  
Michael Krämer

Abstract We compute the fragmentation functions for the production of a Higgs boson at $$ \mathcal{O} $$ O ($$ {y}_t^2 $$ y t 2 αs). As part of this calculation, the relevant splitting functions are also derived at the same perturbative order. Our results can be used to compute differential cross sections with arbitrary top-quark and Higgs-boson masses from massless calculations. They can also be used to resum logarithms of the form ln(pT/m) at large transverse momentum pT to next-to-leading-logarithmic accuracy by solving the DGLAP equations.

2003 ◽  
Vol 551 (1-2) ◽  
pp. 137-145 ◽  
Author(s):  
B. Field ◽  
J. Smith ◽  
M.E. Tejeda-Yeomans ◽  
W.L. van Neerven

2006 ◽  
Vol 2006 (06) ◽  
pp. 035-035 ◽  
Author(s):  
Urs Langenegger ◽  
Michael Spira ◽  
Andrey Starodumov ◽  
Peter Trüb

2016 ◽  
Vol 2016 (10) ◽  
Author(s):  
X. Chen ◽  
J. Cruz-Martinez ◽  
T. Gehrmann ◽  
E. W. N. Glover ◽  
M. Jaquier

2021 ◽  
Vol 2021 (2) ◽  
Author(s):  
Ze Long Liu ◽  
Maximilian Stahlhofen

Abstract We calculate the three-loop soft function for the production of an electroweak boson (Higgs, γ, W±, Z) with large transverse momentum at a hadron collider. It is the first time a soft function for a three-parton process is computed at next-to-next-to-next-to-leading order (N3LO). As a technical novelty, we perform the calculation in terms of forward-scattering-type loop diagrams rather than evaluating phase space integrals. Our three-loop result contains color-tripole contributions and explicitly confirms predictions on the universal infrared structure of QCD scattering amplitudes with three massless parton legs. The soft function is a central ingredient in the factorized cross section for electroweak boson production near the kinematic endpoint (threshold), where the invariant mass of the recoiling hadronic radiation is small compared to its transverse momentum. Our result is required for predictions of the near-threshold cross sections at N3LO and for the resummation of threshold logarithms at primed next-to-next-to-next-to-leading logarithmic (N3LL′) accuracy.


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