2,886 research outputs found
Analytic Results for Massless Three-Loop Form Factors
We evaluate, exactly in d, the master integrals contributing to massless
three-loop QCD form factors. The calculation is based on a combination of a
method recently suggested by one of the authors (R.L.) with other techniques:
sector decomposition implemented in FIESTA, the method of Mellin--Barnes
representation, and the PSLQ algorithm. Using our results for the master
integrals we obtain analytical expressions for two missing constants in the
ep-expansion of the two most complicated master integrals and present the form
factors in a completely analytic form.Comment: minor revisions, to appear in JHE
Continuous, Semi-discrete, and Fully Discretized Navier-Stokes Equations
The Navier--Stokes equations are commonly used to model and to simulate flow
phenomena. We introduce the basic equations and discuss the standard methods
for the spatial and temporal discretization. We analyse the semi-discrete
equations -- a semi-explicit nonlinear DAE -- in terms of the strangeness index
and quantify the numerical difficulties in the fully discrete schemes, that are
induced by the strangeness of the system. By analyzing the Kronecker index of
the difference-algebraic equations, that represent commonly and successfully
used time stepping schemes for the Navier--Stokes equations, we show that those
time-integration schemes factually remove the strangeness. The theoretical
considerations are backed and illustrated by numerical examples.Comment: 28 pages, 2 figure, code available under DOI: 10.5281/zenodo.998909,
https://doi.org/10.5281/zenodo.99890
A Simple Iterative Model Accurately Captures Complex Trapline Formation by Bumblebees Across Spatial Scales and Flower Arrangements
PMCID: PMC3591286This is an open-access article distributed under the terms of the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited
Force Generation upon T Cell Receptor Engagement
T cells are major players of adaptive immune response in mammals. Recognition of
an antigenic peptide in association with the major histocompatibility complex at
the surface of an antigen presenting cell (APC) is a specific and sensitive
process whose mechanism is not fully understood. The potential contribution of
mechanical forces in the T cell activation process is increasingly debated,
although these forces are scarcely defined and hold only limited experimental
evidence. In this work, we have implemented a biomembrane force probe (BFP)
setup and a model APC to explore the nature and the characteristics of the
mechanical forces potentially generated upon engagement of the T cell receptor
(TCR) and/or lymphocyte function-associated antigen-1 (LFA-1). We show that upon
contact with a model APC coated with antibodies towards TCR-CD3, after a short
latency, the T cell developed a timed sequence of pushing and pulling forces
against its target. These processes were defined by their initial constant
growth velocity and loading rate (force increase per unit of time). LFA-1
engagement together with TCR-CD3 reduced the growing speed during the pushing
phase without triggering the same mechanical behavior when engaged alone.
Intracellular Ca2+ concentration
([Ca2+]i) was monitored simultaneously
to verify the cell commitment in the activation process.
[Ca2+]i increased a few tens of seconds
after the beginning of the pushing phase although no strong correlation appeared
between the two events. The pushing phase was driven by actin polymerization.
Tuning the BFP mechanical properties, we could show that the loading rate during
the pulling phase increased with the target stiffness. This indicated that a
mechanosensing mechanism is implemented in the early steps of the activation
process. We provide here the first quantified description of force generation
sequence upon local bidimensional engagement of TCR-CD3 and discuss its
potential role in a T cell mechanically-regulated activation process
On the Integrand-Reduction Method for Two-Loop Scattering Amplitudes
We propose a first implementation of the integrand-reduction method for
two-loop scattering amplitudes. We show that the residues of the amplitudes on
multi-particle cuts are polynomials in the irreducible scalar products
involving the loop momenta, and that the reduction of the amplitudes in terms
of master integrals can be realized through polynomial fitting of the
integrand, without any apriori knowledge of the integral basis. We discuss how
the polynomial shapes of the residues determine the basis of master integrals
appearing in the final result. We present a four-dimensional constructive
algorithm that we apply to planar and non-planar contributions to the 4- and
5-point MHV amplitudes in N=4 SYM. The technique hereby discussed extends the
well-established analogous method holding for one-loop amplitudes, and can be
considered a preliminary study towards the systematic reduction at the
integrand-level of two-loop amplitudes in any gauge theory, suitable for their
automated semianalytic evaluation.Comment: 26 pages, 11 figure
The bashful and the boastful : prestigious leaders and social change in Mesolithic Societies
The creation and maintenance of influential leaders and authorities is one of the key themes of archaeological and historical enquiry. However the social dynamics of authorities and leaders in the Mesolithic remains a largely unexplored area of study. The role and influence of authorities can be remarkably different in different situations yet they exist in all societies and in almost all social contexts from playgrounds to parliaments. Here we explore the literature on the dynamics of authority creation, maintenance and contestation in egalitarian societies, and discuss the implications for our interpretation and understanding of the formation of authorities and leaders and changing social relationships within the Mesolithic
Two-Loop Soft Corrections and Resummation of the Thrust Distribution in the Dijet Region
The thrust distribution in electron-positron annihilation is a classical
precision QCD observable. Using renormalization group (RG) evolution in Laplace
space, we perform the resummation of logarithmically enhanced corrections in
the dijet limit, to next-to-next-to-leading logarithmic (NNLL)
accuracy. We independently derive the two-loop soft function for the thrust
distribution and extract an analytical expression for the NNLL resummation
coefficient . To combine the resummed expressions with the fixed-order
results, we derive the -matching and -matching of the NNLL
approximation to the fixed-order NNLO distribution.Comment: 50 pages, 12 figures, 1 table. Few minor changes. Version accepted
for publication in JHE
Phosphorylated-insulin growth factor I receptor (p-IGF1R) and metalloproteinase-3 (MMP3) expression in advanced gastrointestinal stromal tumors (GIST). A GEIS 19 study
Early diagnosis and treatment referral of children born small for gestational age without catch-up growth are critical for optimal growth outcomes
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