Factorization of the energy–energy correlation in the two-jet limit in the massive case
- 1Università di Roma “La Sapienza” and INFN, Sezione di Roma
- 2Università di Milano and INFN, Sezione di Milano
Abstract
We consider non-logarithmic heavy-quark mass effects in the factorization and resummation of the Energy–Energy-Correlation (EEC) function, in the two-jet limit. We define a new partial EEC cumulant, normalized at a fixed correlation angle χ M<π . χ M < π . At first order, the back-to-back endpoint coefficient cancels in this ratio, while the forward endpoint does not enter. The result can therefore be obtained from the real-emission EEC distribution in D=4 D = 4 space-time dimensions, without determining the endpoint contributions separately. In order to determine explicitly the next-to-leading order coefficient function and the remainder function (both entering the standard resummation formula), we evaluate numerically the EEC spectrum at first order in α S, α S , finding good agreement with previous calculations. To have a smooth massless limit, a new, improved factorization scheme is proposed, in which the coefficient function also depends on the correlation angle χ . χ .
Versions
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BibTeX
@article{aglietti2026factorization,
title = {{Factorization of the energy–energy correlation in the two-jet limit in the massive case}},
author = {Ugo Giuseppe Aglietti and Giancarlo Ferrera and Lorenzo Rossi},
journal = {The European Physical Journal C},
year = {2026},
month = oct,
doi = {10.1140/epjc/s10052-026-16343-2},
url = {https://link.springer.com/10.1140/epjc/s10052-026-16343-2},
note = {CC BY 4.0},
}
RIS
TY - JOUR
TI - Factorization of the energy–energy correlation in the two-jet limit in the massive case
AU - Ugo Giuseppe Aglietti
AU - Giancarlo Ferrera
AU - Lorenzo Rossi
PY - 2026
DA - 2026/10/06
JO - The European Physical Journal C
DO - 10.1140/epjc/s10052-026-16343-2
UR - https://link.springer.com/10.1140/epjc/s10052-026-16343-2
AB - We consider non-logarithmic heavy-quark mass effects in the factorization and resummation of the Energy–Energy-Correlation (EEC) function, in the two-jet limit. We define a new partial EEC cumulant, normalized at a fixed correlation angle χ _M<π . χ M < π . At first order, the back-to-back endpoint coefficient cancels in this ratio, while the forward endpoint does not enter. The result can therefore be obtained from the real-emission EEC distribution in D=4 D = 4 space-time dimensions, without determining the endpoint contributions separately. In order to determine explicitly the next-to-leading order coefficient function and the remainder function (both entering the standard resummation formula), we evaluate numerically the EEC spectrum at first order in α _S, α S , finding good agreement with previous calculations. To have a smooth massless limit, a new, improved factorization scheme is proposed, in which the coefficient function also depends on the correlation angle χ . χ .
SN - 1434-6044
SN - 1434-6052
ER -