Factorization, Power Corrections, and the Pion Form Factor

Abstract

This letter is an investigation of the pion form factor utilizing recently developed effective field theory techniques. The primary results reported are: Both the transition and electromagnetic form factors are corrected at order $\Lambda /Q$. However, these corrections only arise due to time ordered products which are sensitive to soft components of the pion. The usual higher twist wave function corrections contribute only at order ${\Lambda }^2/Q^2$, when the quark mass vanishes. In the case of the electromagnetic form factor the $\Lambda /Q$ power correction is enhanced by a power of $1/{\alpha }_s(Q)$ relative to the leading order result of Brodsky and Lepage, if the scale $\sqrt{\Lambda Q}$ is non-perturbative. This enhanced correction could explain the discrepancy with the data.

Published, extended, version

References in corpus (12)

• An effective field theory for collinear and soft gluons: heavy to light decays
• Soft-Collinear Factorization in Effective Field Theory
• Summing Sudakov logarithms in B -> X_s + gamma in effective field theory
• Invariant Operators in Collinear Effective Theory
• Hard Scattering Factorization from Effective Field Theory
• Soft-collinear effective theory and heavy-to-light currents beyond leading power
• Renormalization group scaling in nonrelativistic QCD
• Factorization and Endpoint Singularities in Heavy-to-Light decays
• Reparameterization Invariance for Collinear Operators
• Collinear effective theory at subleading order and its application to heavy-light currents
• TASI Lectures on Effective Field Theories
• Comment on Quark Masses in SCET

Cited by in corpus (36)

• Jets from Massive Unstable Particles: Top-Mass Determination
• Top Jets in the Peak Region: Factorization Analysis with NLL Resummation
• Electroweak Corrections in High Energy Processes using Effective Field Theory
• Effective field theory approach to open heavy flavor production in heavy-ion collisions
• Electroweak Corrections using Effective Field Theory: Applications to the LHC
• On the transition form factors of the axial-vector resonance $f_1(1285)$ and its decay into $e^{+}{e}^{-}$
• Perturbative corrections to $B\to D$ form factors in QCD
• A Complete Basis of Helicity Operators for Subleading Factorization
• Asymptotic behavior of meson transition form factors
• Reparameterization Invariant Collinear Operators
• The Systematics of Quarkonium Production at the LHC and Double Parton Fragmentation
• Inverting the mass hierarchy of jet quenching effects with prompt $b$-jet substructure
• Factorization and Resummation for Massive Quark Effects in Exclusive Drell-Yan
• Subleading power corrections to the pion-photon transition form factor in QCD
• On Differences Between SCET and QCDF for B->pi pi Decays
• Inclusive heavy flavor jet production with semi-inclusive jet functions: from proton to heavy-ion collisions
• Quark mass effects in the soft-collinear effective theory and B -> X_s + photon in the endpoint region
• Dispersion relation for hadronic light-by-light scattering: $\eta$ and ${\eta }^{\prime }$ poles
• Heavy flavor jet production and substructure in electron-nucleus collisions
• Heavy Quark Jet Fragmentation
• Two-Loop Massive Quark Jet Functions in SCET
• Soft Theorems from Effective Field Theory
• Meson Electro-Magnetic Form Factors in an Extended Nambu--Jona-Lasinio model including Heavy Quark Flavors
• Hard Matching for Boosted Tops at Two Loops
• Heavy quark jet production near threshold
• Can $B->X_c\ell \nu$ help us extract |V_{ub}| ?
• Twistor-inspired construction of massive quark amplitudes
• Power Corrections to Pion Transition Form Factor in Perturbative QCD Approach
• Breakdown of the naive parton model in super-weak scale collisions
• Shape Functions from B -> X_c \ell ν
• Consistent treatment of rapidity divergence in soft-collinear effective theory
• Exclusive heavy quark dijet cross section
• Semi-inclusive hadronic B decays in the endpoint region
• Theoretical Introduction to B Decays and the Soft-Collinear Effective Theory
• Power corrections to the pion transition form factor from higher-twist distribution amplitudes of photon
• Phenomenology of B -> pi pi, pi K Decays at O(alpha^2 beta_0) in QCD Factorization