Factorization and Resummation for Massive Quark Effects in Exclusive Drell-Yan

Autor: Frank J. Tackmann, Anne Spiering, Daniel Samitz, Piotr Pietrulewicz
Rok vydání: 2017
Předmět:
Drell-Yan process
Quark
Nuclear and High Energy Physics
Particle physics
transverse momentum [vector boson]
FOS: Physical sciences
splitting [gluon]
hierarchy
01 natural sciences
decoupling
hard scattering
benchmark
High Energy Physics - Phenomenology (hep-ph)
Factorization
factorization
Jets
0103 physical sciences
Effective field theory
ddc:530
lcsh:Nuclear and particle physics. Atomic energy. Radioactivity
heavy quark
thrust
Rapidity
Resummation
010306 general physics
effect [quark]
Boson
Physics
precision measurement
010308 nuclear & particles physics
High Energy Physics::Phenomenology
QCD Phenomenology
boundary condition
Gluon
Massless particle
High Energy Physics - Phenomenology
rapidity
CERN LHC Coll
resummation
spectrum [boson]
soft collinear effective theory
lcsh:QC770-798
massive [quark]
effect [mass]
hadron
Zdroj: Journal of High Energy Physics, Vol 2017, Iss 8, Pp 1-72 (2017)
Journal of High Energy Physics
Journal of high energy physics 1708(08), 114 (2017). doi:10.1007/JHEP08(2017)114
DOI: 10.48550/arxiv.1703.09702
Popis: Journal of high energy physics 1708(08), 114 (2017). doi:10.1007/JHEP08(2017)114
Exclusive differential spectra in color-singlet processes at hadron colliders are benchmark observables that have been studied to high precision in theory and experiment. We present an effective-theory framework utilizing soft-collinear effective theory to incorporate massive (bottom) quark effects into resummed differential distributions, accounting for both heavy-quark initiated primary contributions to the hard scattering process as well as secondary effects from gluons splitting into heavy-quark pairs. To be specific, we focus on the Drell-Yan process and consider the vector-boson transverse momentum, $q_T$, and beam thrust, $\mathcal T$, as examples of exclusive observables. The theoretical description depends on the hierarchy between the hard, mass, and the $q_T$ (or $\mathcal T$) scales, ranging from the decoupling limit $q_T \ll m$ to the massless limit $m \ll q_T$. The phenomenologically relevant intermediate regime $m \sim q_T$ requires in particular quark-mass dependent beam and soft functions. We calculate all ingredients for the description of primary and secondary mass effects required at NNLL$'$ resummation order (combining NNLL evolution with NNLO boundary conditions) for $q_T$ and $\mathcal T$ in all relevant hierarchies. For the $q_T$ distribution the rapidity divergences are different from the massless case and we discuss features of the resulting rapidity evolution. Our results will allow for a detailed investigation of quark-mass effects in the ratio of $W$ and $Z$ boson spectra at small $q_T$, which is important for the precision measurement of the $W$-boson mass at the LHC.
Published by Springer, Berlin
Databáze: OpenAIRE