https://doi.org/10.1140/epjc/s10052-021-09687-4
Regular Article - Theoretical Physics
The diphoton 
spectrum at N
LL
+ NNLO
Department of Physics, Brookhaven National Laboratory, 11973, Upton, NY, USA
Received:
2
August
2021
Accepted:
27
September
2021
Published online:
14
October
2021
We present a -resummed calculation of diphoton production at order NLL + NNLO. To reach the primed level of accuracy we have implemented the recently published three-loop 
virtual corrections in the 
channel and the three-loop transverse momentum dependent beam functions and combined them with the existing infrastructure of CuTe-MCFM, a code performing resummation at order N
LL. While the primed predictions are parametrically not more accurate, one typically observes from lower orders and other processes that they are the dominant effect of the next order. We include in both the and loop-induced gg channel the hard contributions consistently together at order 
and find that the resummed channel without matching stabilizes indeed. Due to large matching corrections and large contributions and uncertainties from the gg channel, the overall improvements are small though. We furthermore study the effect of hybrid-cone photon isolation and hard-scale choice on our fully matched results to describe the ATLAS 
TeV data and find that the hybrid-cone isolation worsens agreement at small compared to smooth-cone isolation.
© The Author(s) 2021
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