404 research outputs found
Master integrals for mixed QCD-QED corrections to charged-current Drell-Yan production of a massive charged lepton
The master integrals for the mixed QCD-QED two-loop virtual corrections to
the charged-current Drell-Yan process
are computed analytically by using the differential equation method. A suitable
choice of master integrals makes it successful to cast the differential
equation system into the canonical form. We keep the dependence on charged
lepton mass in the building of differential equations and then expand the
system against the ratio of small charged lepton mass to large -boson mass.
In such a way the final results will contain large logarithms of the form
. Finally, all the canonical master integrals are given
as Taylor series around spacetime dimensions up to order four, with
coefficients expressed in terms of Goncharov polylogarithms up to weight four.Comment: 34 pages, 6 figure
Formulae of Beurling-Deny and Lejan For Non-Symmetric Dirichlet Forms
By the classical Beurling-Deny formula, any regular symmetric Dirichlet form is decomposed into the diffusion, jumping and killing parts. Further, the diffusion part is characterized by LeJan’s formula. In this paper, both the Beurling-Deny formula and LeJan’s formula are extended to regular non-symmetric Dirichlet forms. In addition, a counterexample is presented to show the gap in the Beurling-Deny formula for non-symmetric Dirichlet forms in the existing literatures
Extensions of Lévy-Khintchine Formula and Beurling-Deny Formula in Semi-Dirichlet Forms Setting
The Lévy-Khintchine formula or, more generally, Courrège’s theorem characterizes the infinitesimal generator of a Lévy process or a Feller process on Rd. For more general Markov processes, the formula that comes closest to such a characterization is the Beurling-Deny formula for symmetric Dirichlet forms. In this paper, we extend these celebrated structure results to include a general right process on a metrizable Lusin space, which is supposed to be associated with a semi-Dirichlet form. We start with decomposing a regular semi-Dirichlet form into the diffusion, jumping and killing parts. Then, we develop a local compactification and an integral representation for quasi-regular semi-Dirichlet forms. Finally, we extend the formulae of Lévy-Khintchine and Beurling-Deny in semi-Dirichlet forms setting
through introducing a quasi-compatible metric
The light MSSM neutral Higgs boson production associated with an electron and a jet at the LHeC
We study the light CP-even neutral Higgs boson production in association with
an electron and a jet at the possible CERN large hadron-electron collider
within the minimal supersymmetric standard model. We investigate the possible
supersymmetric effects on this process and compare our standard model numerical
results with those in previous work. We present the leading-order and QCD
next-to-leading-order corrected total cross sections and the distributions of
the transverse momenta of the final electron, the light neutral Higgs boson,
and jet in the minimal supersymmetric standard model. Our results show that the
scale dependence of the leading-order cross section is obviously reduced by the
QCD next-to-leading-order corrections. The K factor of the QCD correction to
the total cross section at the large hadron-electron collider varies from 0.893
to 1.048 when the factorization/renormalization scale goes up from to in our chosen parameter space.Comment: 18pages, 18figure
Biochemical and transcriptomic analyses reveal different metabolite biosynthesis profiles among three color and developmental stages in ‘Anji Baicha’ (Camellia sinensis)
Primers used for quantitative reverse transcription polymerase chain reaction analyses. (XLSX 11Â kb
Viscous damping of nanobeam resonators: humidity, thermal noise and the paddling effect
The nanobeam resonator is the key mechanical component in the
nano-electromechanical system. In addition to its high frequency originating
from its low dimension, the performance is significantly influenced by the
circumstances, especially at nanoscale where a large surface area of the
material is exposed. Molecular dynamics simulations and theoretical analysis
are used for a quantitative prediction on the damping behavior, such as the
critical damping condition and lifetime, of nanobeam resonators that directly
maps the fluid-structure properties and interaction information into dynamical
behaviors. We show here how the humidity defines the critical damping condition
through viscous forces, marking the transition from under-damping to
over-damping regime at elevated humidity. Novel phenomena such as the thermal
fluctuation and paddling effects are also discussed.Comment: 15 pages, 5 figure
Cross-correlation between the thermal Sunyaev-Zeldovich effect and the Integrated Sachs-Wolfe effect
We present a joint cosmological analysis of the power spectra measurement of
the Planck Compton parameter and the integrated Sachs-Wolfe (ISW) maps. We
detect the statistical correlation between the Planck Thermal Sunyaev-Zeldovich
(tSZ) map and ISW data with a significance of a confidence
level~(CL), with the autocorrelation of the Planck tSZ data being measured at a
CL. The joint auto- and cross-power spectra constrain the matter
density to be , the Hubble constant
and the rms
matter density fluctuations to be at the
68% CL. The derived large-scale structure parameter is . If using only the
diagonal blocks of covariance matrices, the Hubble constant becomes
. In
addition, we obtain the constraint of the product of the gas bias, gas
temperature, and density as . We find that this constraint leads to an estimate on
the electron temperature today as , consistent with the expected temperature of the warm-hot
intergalactic medium. Our studies show that the ISW-tSZ cross-correlation is
capable of probing the properties of the large-scale diffuse gas.Comment: 25 pages, 15 figures, 2 table
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