Deutsch
 
Hilfe Datenschutzhinweis Impressum
  DetailsucheBrowse

Datensatz

DATENSATZ AKTIONENEXPORT

Freigegeben

Zeitschriftenartikel

The Energy-Energy Correlation in the back-to-back limit at N$^3$LO and N$^3$LL$^\prime$

MPG-Autoren

Ebert,  Markus A.
Max Planck Institute for Physics, Max Planck Society and Cooperation Partners;

Mistlberger,  Bernhard
Max Planck Institute for Physics, Max Planck Society and Cooperation Partners;

Vita,  Gherardo
Max Planck Institute for Physics, Max Planck Society and Cooperation Partners;

Externe Ressourcen
Es sind keine externen Ressourcen hinterlegt
Volltexte (beschränkter Zugriff)
Für Ihren IP-Bereich sind aktuell keine Volltexte freigegeben.
Volltexte (frei zugänglich)
Es sind keine frei zugänglichen Volltexte in PuRe verfügbar
Ergänzendes Material (frei zugänglich)
Es sind keine frei zugänglichen Ergänzenden Materialien verfügbar
Zitation

Ebert, M. A., Mistlberger, B., & Vita, G. (2021). The Energy-Energy Correlation in the back-to-back limit at N$^3$LO and N$^3$LL$^\prime$. Journal of High Energy Physics, 08, 022. Retrieved from https://publications.mppmu.mpg.de/?action=search&mpi=MPP-2020-225.


Zitierlink: https://hdl.handle.net/21.11116/0000-000A-1A3C-7
Zusammenfassung
We present the analytic formula for the Energy-Energy Correlation (EEC) in electron-positron annihilation computed in perturbative QCD to next-to-next-to-next-to-leading order (N$^3$LO) in the back-to-back limit. In particular, we consider the EEC arising from the annihilation of an electron-positron pair into a virtual photon as well as a Higgs boson and their subsequent inclusive decay into hadrons. Our computation is based on a factorization theorem of the EEC formulated within Soft-Collinear Effective Theory (SCET) for the back-to-back limit. We obtain the last missing ingredient for our computation - the jet function - from a recent calculation of the transverse-momentum dependent fragmentation function (TMDFF) at N$^3$LO. We combine the newly obtained N$^3$LO jet function with the well known hard and soft function to predict the EEC in the back-to-back limit. The leading transcendental contribution of our analytic formula agrees with previously obtained results in $\mathcal{N} = 4$ supersymmetric Yang-Mills theory. We obtain the $N=2$ Mellin moment of the bulk region of the EEC using momentum sum rules. Finally, we obtain the first resummation of the EEC in the back-to-back limit at N$^3$LL$^\prime$ accuracy, resulting in a factor of $\sim 4$ reduction of uncertainties in the peak region compared to N$^3$LL predictions.