Effective field theory approach to heavy quark fragmentation

Abstract

Using an approach based on Soft Collinear Effective Theory (SCET) and Heavy Quark Effective Theory (HQET) we determine the $b$-quark fragmentation function from electron-positron annihilation data at the $Z$-boson peak at next-to-next-to leading order, with next-to-next-to leading log resummation of DGLAP logarithms, and next-to-next-to-next-to leading log resummation of endpoint logarithms. This analysis improves, by one order, the previous extraction of the $b$-quark fragmentation function. We find that while the addition of the next order in the calculation does not much shift the extracted form of the fragmentation function, it does reduce theoretical errors indicating that the expansion is converging. Using an approach based on effective field theory allows us to systematically control theoretical errors. While the fits of theory to data are generally good, the fits seem to be hinting that higher order correction from HQET may be needed to explain the $b$-quark fragmentation function at smaller values of momentum fraction.

62 pages. python code for the DGLAP evolution of the fragmentation function attached

References in corpus (24)

• Big-Bang Nucleosynthesis
• LHAPDF6: parton density access in the LHC precision era
• Global analysis of fragmentation functions for pions and kaons and their uncertainties
• Thrust at N^3LL with Power Corrections and a Precision Global Fit for alphas(mZ)
• Quark and gluon form factors to three loops
• A precise determination of alpha_s from LEP thrust data using effective field theory
• Global Analysis of Fragmentation Functions for Protons and Charged Hadrons
• Jets from Massive Unstable Particles: Top-Mass Determination
• Treating the b quark distribution function with reliable uncertainties
• Top Jets in the Peak Region: Factorization Analysis with NLL Resummation
• Toward a NNLO calculation of the B-->X_s+gamma decay rate with a cut on photon energy: II. Two-loop result for the jet function
• The semi-inclusive jet function in SCET and small radius resummation for inclusive jet production
• Next-to-Next-to-Leading Order Evolution of Non-Singlet Fragmentation Functions
• Resummation and NLO Matching of Event Shapes with Effective Field Theory
• On Third-Order Timelike Splitting Functions and Top-Mediated Higgs Decay into Hadrons
• C-parameter Distribution at N${}^3$LL${}^{\prime }$ including Power Corrections
• A Precise Determination of ${\alpha }_s$ from the C-parameter Distribution
• Fragmentation of a Jet with Small Radius
• Parton Fragmentation within an Identified Jet at NNLL
• Jet substructure using semi-inclusive jet functions within SCET
• A study of the b-quark fragmentation function with the DELPHI detector at LEP I and an averaged distribution obtained at the Z Pole
• Probing Quarkonium Production Mechanisms with Jet Substructure
• Factorization analysis for the fragmentation functions of hadrons containing a heavy quark
• Review of Physics Results from the Tevatron: Heavy Flavor Physics

Cited by in corpus (26)

• Jet Substructure at the Large Hadron Collider: A Review of Recent Advances in Theory and Machine Learning
• The semi-inclusive jet function in SCET and small radius resummation for inclusive jet production
• Effective field theory approach to open heavy flavor production in heavy-ion collisions
• Using hadron-in-jet data in a global analysis of $D^{\ast }$ fragmentation functions
• Transverse Momentum Spectra at Threshold for Groomed Heavy Quark Jets
• B-hadron hadro-production in NNLO QCD: application to LHC $t\bar{t}$ events with leptonic decays
• TMD factorization for dijet and heavy-meson pair in DIS
• Fragmentation Uncertainties in Hadronic Observables for Top-quark Mass Measurements
• Fragmentation to a jet in the large $z$ limit
• Soft logarithms in processes with heavy quarks
• A consistent resummation of mass and soft logarithms in processes with heavy flavours
• Transverse momentum dependent distributions in dijet and heavy hadron pair production at EIC
• NNLO B-fragmentation fits and their application to $t\bar{t}$ production and decay at the LHC
• Heavy quark jet production near threshold
• Bottomoniumlike states in proton collisions: Fragmentation and resummation
• Transverse Momentum Distributions of Heavy Hadrons and Polarized Heavy Quarks
• On heavy-flavour jets with Soft Drop
• Heavy Quark Fragmentation in $e^{+}{e}^{-}$ Collisions to NNLO+NNLL Accuracy in Perturbative QCD
• An improved description of charm fragmentation data
• Transverse Momentum-Dependent Heavy-Quark Fragmentation at Next-to-Leading Order
• Hadron-in-jet production at partonic threshold
• Consistent treatment of rapidity divergence in soft-collinear effective theory
• Exclusive heavy quark dijet cross section
• Semi-inclusive jet cross sections within SCET
• Semi-Inclusive Jet Functions and Jet Substructure in $J_{E_T}^{(I)}$ and $J_{E_T}^{(II)}$ Algorithms
• Energy-peak based method to measure top quark mass via B-hadron decay lengths