33 research outputs found
Proton structure, an iridescent study: from parton distributions to the emergence of the proton mass
Factorization for quasi-TMD distributions of sub-leading power
The quasi-transverse-momentum dependent (qTMD) distributions are equal-time
correlators that can be computed within the lattice QCD approach. In the regime
of large hadron's momentum, qTMD distributions are expressed in terms of
standard TMD distributions via the factorization theorem. We derive the
corresponding factorization theorem at the next-leading power (NLP), and, for
the first time, we present the factorized expressions for a large class of qTMD
distributions of sub-leading power. The NLP expression contains TMD
distributions of twist-two, twist-three, and a new lattice-specific
nonperturbative function. We point out that some of the qTMD distributions
considered in this work can be employed to extract the Collins-Soper kernel
using the standard techniques of different-momenta-ratio. We provide NLO
expressions for all the elements of the factorization theorem. Also, for the
first time, we explicitly demonstrate the restoration of boost invariance in
NLP TMD factorization.Comment: 34 pages, 4 figures, 1 tabl
A model for pion collinear parton distribution function and form factor
We developed a model for the pion light-front wave function (LFWF) that
incorporates valence, sea and gluon degrees of freedom. Using the LFWF overlap
representation, we derived parametrizations for the pion parton distribution
functions and the electromagnetic form factor. These parametrizations depend on
two distinct sets of parameters, enabling separate fits of the longitudinal-
and transverse-momentum dependencies of the LFWF. The pion PDFs are extracted
from available Drell-Yan and photon-production data using the xFitter framework
and are found well compatible with existing extractions. Furthermore, the fit
of the electromagnetic form factor of the pion to all the available
experimental data works quite successfully.Comment: 5 pages, 5 figures. Contribution presented at DIS202
Definition and evolution of transverse momentum dependent distribution of twist-three
We present an in-depth analysis of transverse momentum dependent (TMD)
distributions of twist-three. In particular, we focus on evolution equations,
symmetry relations, parameterization, interpretation, small-b asymptotic
behaviour and the structure of singularities. The starting point of discussion
are the correlators with the definite TMD-twist. By considering suitable
combinations of these correlators, we introduce physical TMD distribution of
twist-three that can be used for practical applications. We also establish
relations with generic TMD distribution of twist-three, and demonstrate that
their evolution equations are autonomous in the large- limit.Comment: 43 pages, 5 figure
The gravitational form factor D(t) of the electron
The electron-graviton interaction can be described in terms of the
gravitational form factors of the QED energy momentum tensor. Here we focus on
the form factor D(t), and we examine its properties and its interpretation in
terms of internal forces at one-loop accuracy in QED. We perform the
calculation by keeping separate the contributions due to the electron and the
photon parts of the energy momentum tensor. We also study the case of a nonzero
photon mass. Furthermore, we discuss similarities with and differences to the
form factor D(t) of hadronic bound states.Comment: 18 pages, 6 figures; accepted for publication in Phys. Lett.
Revisiting the proton mass decomposition
Different decompositions (sum rules) for the proton mass have been proposed
in the literature. All of them are related to the energy-momentum tensor in
quantum chromodynamics. We review and revisit these decompositions by paying
special attention to recent developments with regard to the renormalization of
the energy-momentum tensor. The connection between the sum rules is discussed
as well. We present numerical results for the various terms of the mass
decompositions up to 3 loops in the strong coupling, and consider their scheme
dependence. We also elaborate on the role played by the trace anomaly and the
sigma terms.Comment: 28 pages; V2: some discussion added, matches PRD versio
Collinear matching for next-to-leading power transverse-momentum distributions
Phenomenological studies of transverse momentum dependent (TMD) parton
distributions rely on the expansion in small values of the transverse
separation of fields, where TMD parton distributions match onto collinear
parton distribution functions. In this work, we derive this expansion at
tree-level for the genuine next-to-leading power quark-gluon-quark TMDs, taking
into account all the target mass corrections. We find that only a limited
number of TMD parton distributions exhibit matching to twist-three collinear
distributions, leading to a significant simplification in the analysis of the
structure functions of semi-inclusive deep inelastic scattering.Comment: 8 page
Definition and evolution of transverse momentum dependent distribution of twist-three
We present an in-depth analysis of transverse momentum dependent (TMD) distributions of twist-three. In particular, we focus on evolution equations, symmetry relations, parameterization, interpretation, small-b asymptotic behaviour and the structure of singularities. The starting point of discussion are the correlators with the definite TMD-twist. By considering suitable combinations of these correlators, we introduce physical TMD distribution of twist-three that can be used for practical applications. We also establish relations with generic TMD distribution of twist-three, and demonstrate that their evolution equations are autonomous in the large-Nc limit
Erratum to: Definition and evolution of transverse momentum dependent distribution of twist-three
Sivers, Boer-Mulders and worm-gear distributions at next-to-leading order
We compute the Sivers, Boer-Mulders, worm-gear (T and L) transverse momentum
dependent distributions in terms of twist-two and twist-three collinear
distributions in the small-b limit up to next-to-leading order (NLO) in
perturbation theory.Comment: 26 pages, 1 figur