1,022 research outputs found
Renormalisation of heavy-light light ray operators
We calculate the renormalisation of different light ray operators with one
light degree of freedom and a static heavy quark. Both - and
-kernels are considered. A comparison with the light-light case suggests
that the mixing with three-particle operators is solely governed by the light
degrees of freedom. Additionally we show that conformal symmetry is already
broken at the level of the one loop counterterms due to the additional
UV-renormalisation of a cusp in the two contributing Wilson-lines. This general
feature can be used to fix the -renormalisation kernels up to a
constant. Some examples for applications of our results are given.Comment: 23 pages, 5 figures; v2: changed some wording, added a few references
and one appendix concerning some subtleties related to gauge fixing and ghost
terms; v3: clarified calculation in section 3.2., added an explicit
calculation in section 5.2, corrected a few typos and one figure, added a few
comments, results unchanged, except for typesetting matches version to appear
in JHE
Operator product expansion in QCD in off-forward kinematics: Separation of kinematic and dynamical contributions
We develop a general approach to the calculation of target mass and finite
t=(p'-p)^2 corrections in hard processes which can be studied in the framework
of the operator product expansion and involve momentum transfer from the
initial to the final hadron state. Such corrections, which are usually referred
to as kinematic, can be defined as contributions of operators of all twists
that can be reduced to total derivatives of the leading twist operators. As the
principal result, we provide a set of projection operators that pick up the
"kinematic" part of an arbitrary flavor-nonsinglet twist-four operator in QCD.
A complete expression is derived for the time-ordered product of two
electromagnetic currents that includes all kinematic corrections to twist-four
accuracy. The results are immediately applicable to the studies of
deeply-virtual Compton scattering, transition gamma^*-> M gamma form factors
and related processes. As a byproduct of this study, we find a series of
"genuine" twist-four flavor-nonsinglet quark-antiquark-gluon operators which
have the same anomalous dimensions as the leading twist quark-antiquark
operators.Comment: 68 pages, 2 figures. Misprints in Eq.(5.64) and several equations in
Sec.6 are corrected. For readers' convenience all corrections are marked in
re
Heavy-to-light baryonic form factors at large recoil
We analyze heavy-to-light baryonic form factors at large recoil and derive
the scaling behavior of these form factors in the heavy quark limit. It is
shown that only one universal form factor is needed to parameterize Lambda_b to
p and Lambda_b to Lambda matrix elements in the large recoil limit of light
baryons, while hadronic matrix elements of Lambda_b to Sigma transition vanish
in the large energy limit of Sigma baryon due to the space-time parity
symmetry. The scaling law of the soft form factor eta(P^{\prime} \cdot v),
P^{\prime} and v being the momentum of nucleon and the velocity of Lambda_b
baryon, responsible for Lambda_b to p transitions is also derived using the
nucleon distribution amplitudes in leading conformal spin. In particular, we
verify that this scaling behavior is in full agreement with that from
light-cone sum rule approach in the heavy-quark limit. With these form factors,
we further investigate the Lambda baryon polarization asymmetry alpha in
Lambda_b to Lambda gamma and the forward-backward asymmetry A_{FB} in Lambda_b
to Lambda l^{+} l^{-}. Both two observables (alpha and A_{FB}) are independent
of hadronic form factors in leading power of 1/m_b and in leading order of
alpha_s. We also extend the analysis of hadronic matrix elements for Omega_b to
Omega transitions to rare Omega_b to Omega gamma and Omega_b to Omega l^{+}
l^{-} decays and find that radiative Omega_b to Omega gamma decay is probably
the most promising FCNC b to s radiative baryonic decay channel. In addition,
it is interesting to notice that the zero-point of forward-backward asymmetry
of Omega_b to Omega l^{+} l^{-} is the same as the one for Lambda_b to Lambda
l^{+} l^{-} to leading order accuracy provided that the form factors
\bar{\zeta}_i (i=3, 4, 5) are numerically as small as indicated from the quark
model.Comment: 19 page
The Ï-meson light-cone distribution amplitudes from lattice QCD
We present the results of a lattice study of the normalization constants and second moments of the light-cone distribution amplitudes of longitudinally and transversely polarized mesons. The calculation is performed using two flavors of dynamical clover fermions at lattice spacings between and , different lattice volumes up to and pion masses down to . Bare lattice results are renormalized non-perturbatively using a variant of the RI'-MOM scheme and converted to the scheme. The necessary conversion coefficients, which are not available in the literature, are calculated. The chiral extrapolation for the relevant decay constants is worked out in detail. We obtain for the ratio of the tensor and vector coupling constants and the values of the second Gegenbauer moments and at the scale for the longitudinally and transversely polarized mesons, respectively. The errors include the statistical uncertainty and estimates of the systematics arising from renormalization. Discretization errors cannot be estimated reliably and are not included. In this calculation the possibility of decay at the smaller pion masses is not taken into account
A model of decay
We suggest a parameterization of the matrix element for decay using kinematic variables convenient for experimental
analysis. The contributions of intermediate - and -states up
to spin 3 have been taken into account. The angular distributions for each
discussed hypothesis have been obtained and analysed using Monte-Carlo
simulation.Comment: 24 pages, 9 figures, 1 table; V2: text in some places improved and
acknowledgments adde
Gauge links for transverse momentum dependent correlators at tree-level
In this paper we discuss the incorporation of gauge links in hadronic matrix
elements that describe the soft hadronic physics in high energy scattering
processes. In this description the matrix elements appear in soft correlators
and they contain non-local combinations of quark and gluon fields. In our
description we go beyond the collinear approach in which case also the
dependence on transverse momenta of partons is taken into consideration. The
non-locality in the transverse direction leads to a complex gauge link
structure for the full process, in which color is entangled, even at
tree-level. We show that at tree-level in a 1-parton unintegrated (1PU)
situation, in which only the transverse momentum of one of the initial state
hadrons is relevant, one can get a factorized expression involving transverse
momentum dependent (TMD) distribution functions. We point out problems at the
level of two initial state hadrons, even for relatively simple processes such
as Drell-Yan scattering.Comment: 25 pages, corrected typos and updated reference
Two-loop Corrections to the B to pi Form Factor from QCD Sum Rules on the Light-Cone and |V(ub)|
We calculate the leading-twist O(alphas^2 beta0) corrections to the B to pi
transition form factor f+(0) in light-cone sum rules. We find that, as
expected, there is a cancellation between the O(alphas^2 beta0) corrections to
fB f+(0) and the large corresponding corrections to fB, calculated in QCD sum
rules. This suggests the insensitivity of the form factors calculated in the
light-cone sum rules approach to this source of radiative corrections. We
further obtain an improved determination of the CKM matrix element |V(ub)|,
using latest results from BaBar and Belle for f+(0)|V(ub)|.Comment: 18 pages, 3 figure
Light-like polygonal Wilson loops in 3d Chern-Simons and ABJM theory
We study light-like polygonal Wilson loops in three-dimensional Chern-Simons
and ABJM theory to two-loop order. For both theories we demonstrate that the
one-loop contribution to these correlators cancels. For pure Chern-Simons, we
find that specific UV divergences arise from diagrams involving two cusps,
implying the loss of finiteness and topological invariance at two-loop order.
Studying those UV divergences we derive anomalous conformal Ward identities for
n-cusped Wilson loops which restrict the finite part of the latter to
conformally invariant functions. We also compute the four-cusp Wilson loop in
ABJM theory to two-loop order and find that the result is remarkably similar to
that of the corresponding Wilson loop in N=4 SYM. Finally, we speculate about
the existence of a Wilson loop/scattering amplitude relation in ABJM theory.Comment: 37 pages, many figures; v2: references added, minor changes; v3:
references added, sign error fixed and note adde
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