Drell-Yan q T resummation of fiducial power corrections at N3LL

Autor: Frank J. Tackmann, Markus A. Ebert, Johannes K. L. Michel, Iain W. Stewart
Jazyk: angličtina
Rok vydání: 2021
Předmět:
Drell-Yan process
Nuclear Theory
lepton
higher-order
transverse momentum [resummation]
Hadron
low [transverse momentum]
momentum spectrum [transverse momentum]
QC770-798
High Energy Physics - Experiment
transverse momentum: momentum spectrum
High Energy Physics - Experiment (hep-ex)
High Energy Physics - Phenomenology (hep-ph)
final-state interaction [radiation]
structure function
scattering [p p]
quantum electrodynamics
Invariant mass
Resummation
Physics
CMS
resummation: transverse momentum
Observable
Effective Field Theories
ATLAS
tensor
High Energy Physics - Phenomenology
radiation: final-state interaction
resummation
Production (computer science)
p p: scattering
Nuclear and High Energy Physics
Particle physics
transverse momentum: low
FOS: Physical sciences
production [p p]
hadronic
Nuclear Theory (nucl-th)
Factorization
factorization
Nuclear and particle physics. Atomic energy. Radioactivity
quantum chromodynamics
recoil
Perturbative QCD
ddc:530
Order (ring theory)
final state [lepton]
lepton: final state
High Energy Physics::Experiment
Lepton
Zdroj: Journal of High Energy Physics, Vol 2021, Iss 4, Pp 1-102 (2021)
Journal of high energy physics 04(4), 102 (2021). doi:10.1007/JHEP04(2021)102
Journal of High Energy Physics
ISSN: 1029-8479
DOI: 10.3204/PUBDB-2020-02702
Popis: Journal of high energy physics 04(4), 102 (2021). doi:10.1007/JHEP04(2021)102
We consider Drell-Yan production pp ��� V$^{*}$X ��� LX at small q$_{T}$ ��� Q, where q$_{T}$ and Q are the total transverse momentum and invariant mass of the leptonic final state L. Experimental measurements require fiducial cuts on L, which in general introduce enhanced, linear power corrections in q$_{T}$/Q. We show that they can be unambiguously predicted from factorization, and resummed to the same order as the leading-power contribution. For the fiducial q$_{T}$ spectrum, they constitute the complete linear power corrections. We thus obtain predictions for the fiducial q$_{T}$ spectrum to N$^{3}$LL and next-to-leading-power in q$_{T}$/Q. Matching to full NNLO ($ {\alpha}_s^2 $), we find that the linear power corrections are indeed the dominant ones, and once included by factorization, the remaining fixed-order corrections become almost negligible below q$_{T}$ ��� 40 GeV. We also discuss the implications for more complicated observables, and provide predictions for the fiducial ��$^{*}$ spectrum at N$^{3}$LL+NNLO. We find excellent agreement with ATLAS and CMS measurements of q$_{T}$ and ��$^{*}$. We also consider the $ {p}_T^{\mathrm{\ell}} $ spectrum. We show that it develops leptonic power corrections in q$_{T}$/(Q ��� 2$ {p}_T^{\mathrm{\ell}} $), which diverge near the Jacobian peak $ {p}_T^{\mathrm{\ell}} $ ��� Q/2 and must be kept to all powers to obtain a meaningful result there. Doing so, we obtain for the first time an analytically resummed result for the $ {p}_T^{\mathrm{\ell}} $ spectrum around the Jacobian peak at N$^{3}$LL+NNLO. Our method is based on performing a complete tensor decomposition for hadronic and leptonic tensors. We show that in practice this is equivalent to often-used recoil prescriptions, for which our results now provide rigorous, formal justification. Our tensor decomposition yields nine Lorentz-scalar hadronic structure functions, which for Z/��$^{*}$ ��� ������ or W ��� ����� directly map onto the commonly used angular coefficients, but also holds for arbitrary leptonic final states. In particular, for suitably defined Born-projected leptons it still yields a LO-like angular decomposition even when including QED final-state radiation. Finally, we also discuss the application to q$_{T}$ subtractions. Including the unambiguously predicted fiducial power corrections significantly improves their performance, and in particular makes them applicable near kinematic edges where they otherwise break down due to large leptonic power corrections.
Published by SISSA, [Trieste]
Databáze: OpenAIRE
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