A bstract We begin a systematic investigation of the anomalous dimension subleading power N -jet operators in view resummation logarithmically enhanced terms partonic cross sections beyond leading power. provide an explicit result at one-loop order for fermion-number two second expansion parameter soft-collinear effective theory.

We resum the leading logarithms $\alpha_s^n \ln^{2 n-1}(1-z)$, $n=1,2,\ldots$ near kinematic threshold $z=Q^2/\hat{s}\to 1$ of Drell-Yan process at next-to-leading power in expansion $(1-z)$. The derivation this result employs soft-collinear effective theory position space and anomalous dimensions subleading-power soft functions, which are computed. Expansion resummed leads to fixed loop order, agreement with exact results NLO NNLO predictions from physical evolution kernel N$^3$LO N$^4$LO,...

We present next-to-next-to-next-to-leading order (N3LO) QCD predictions for the Higgs boson pair production via gluon fusion at hadron colliders in infinite top-quark mass limit. Besides inclusive total cross sections various collision energies, we also provide invariant distribution of pair. Our results show that N3LO corrections enhance next-to-next-to-leading section by 3.0% (2.7%) s=13(100)TeV, while scale uncertainty is reduced substantially below 3% (2%). find a judicious choice can...

We present the first analytic results of next-to-next-to-next-to-leading-order (<a:math xmlns:a="http://www.w3.org/1998/Math/MathML" display="inline"><a:mrow><a:msup><a:mrow><a:mi mathvariant="normal">N</a:mi></a:mrow><a:mrow><a:mn>3</a:mn></a:mrow></a:msup><a:mi>LO</a:mi></a:mrow></a:math>) QCD corrections to top-quark decay width. focus on dominant leading color contribution, which includes light-quark loops. At next-to-next-to-leading order (NNLO), this contribution accounts for 95% total...

Recently, Rahulamathavan et al. propose a privacy preserving scheme for outsourcing SVM classification. Their core contribution is secure protocol to attain the sign of numbers in encrypted form. In this paper, we observe that al.'s will suffer from some soundness and security problems. Then, new securely obtain numbers' sign. Theoretical analysis experiment results show our proposed can not only fix problems, but also achieve higher efficiency.

Computations at next-to-leading order in the Standard Model offer new technical challenges presence of higher dimensional operators. We introduce a framework that, starting from top-quark effective field theory dimension six, allows one to make predictions for cross sections as well distributions fully automatic way. As an application, we present first complete results QCD flavor-changing neutral interactions including parton shower effects, $tZ$, $th$, $t\ensuremath{\gamma}$ associated...

We sum the leading logarithms $\alpha_s^n \ln^{2 n-1}(1-z)$, n=1,2,... near kinematic threshold $z=m_H^2/\hat{s}\to 1$ at next-to-leading power in expansion (1-z) for Higgs production gluon fusion. highlight new contributions compared to Drell-Yan quark-antiquark annihilation and show that final result can be obtained all orders by substitution of colour factor $C_F\to C_A$, confirming previous fixed-order results conjectures. also provide a numerical analysis logarithms, which indicates...

A bstract We continue the investigation of anomalous dimension subleading-power N -jet operators. In this paper, we focus on operators with fermion number one in each collinear direction, corresponding to quark (antiquark) initiated jets QCD. investigate renormalization effects induced by soft loop and compute one-loop mixing time-ordered products involving power-suppressed SCET Lagrangian insertions into currents through loops. discuss conservation directions provide explicit results for...

A bstract The Higgs boson pair production via gluon fusion at high-energy hadron colliders, such as the LHC, is vital in deciphering potential and pinning down electroweak symmetry breaking mechanism. We carry out next-to-next-to-next-to- leading order (N 3 LO) QCD calculations infinite top-quark mass limit present predictions for both inclusive differential cross sections, albeit distributions other than invariant distribution of are approximated N LO. Such corrections indispensable...

Biochar application for soil and agro-environmental development has attracted great attention due to its numerous advantages: improving the soil, mitigating greenhouse gas emissions, increasing crop productivity, augmenting carbon storage. However, during pyrolytic conversion of waste biomass, polycyclic aromatic hydrocarbons (PAHs), a category toxic organic pollutants, are inescapably generated linger on residual solid coproduct called biochar. Therefore, it is crucial assess environmental...

The lack of convergence the convolution integrals appearing in next-to-leading-power (NLP) factorization theorems prevents applications existing methods to resum power-suppressed large logarithmic corrections collider physics. We consider thrust distribution two-jet region for flavour-nonsinglet off-diagonal contribution, where a gluon-initiated jet recoils against quark-antiquark pair, which is power-suppressed. With help operatorial endpoint conditions, we obtain formula, individual terms...

A classic result, originally due to Kluberg-Stern and Zuber, states that operators vanish by the classical equation of motion (eom) do not mix into "physical" operators. Here we show explain why this result does hold in soft-collinear effective theory (SCET) for renormalization power-suppressed We calculate non-vanishing mixing eom simplest case $N$-jet with a single collinear field every direction. The implies that---for computation anomalous dimension but on-shell matrix elements---there...

A bstract The off-diagonal parton-scattering channels g + γ * and q ϕ in deep-inelastic scattering are power-suppressed near threshold x → 1. We address the next-to-leading power (NLP) resummation of large double logarithms 1 − to all orders strong coupling, which present even DGLAP splitting kernels. appearance divergent convolutions prevents application factorization methods known from leading resummation. Employing d -dimensional consistency relations requiring /ϵ pole cancellations...

The $H\to \gamma\gamma$ decay is an ideal process to study the structure of next-to-leading power logarithms induced by quarks due its simple initial and final states. We perform a region analysis this up two-loop level inspect origins logarithms. To deal with endpoint singularities that are prevalent for logarithms, we have adopted two different kinds regulators exhibit advantages disadvantages each regulator. In analytic regulator chosen, propagator changed $\eta$. And regulated in form...

A bstract The $$ tW\overline{b} <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mi>tW</mml:mi> <mml:mover> <mml:mi>b</mml:mi> <mml:mo>¯</mml:mo> </mml:mover> </mml:math> production contributes to the real corrections tW cross section. It would interfere with top quark pair production, causing difficulties in a clear definition of events. subtraction t\overline{t} <mml:mi>t</mml:mi> contributions has been performed diagram removal or schemes for tree-level processes. However,...

A bstract The Higgs boson decay into bottom quarks is the dominant channel contributing to its total width, which can be used measure quark Yukawa coupling and mass. This width has been computed up $$ \mathcal{O}\left({\alpha}_s^4\right) <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mi>O</mml:mi> <mml:mfenced> <mml:msubsup> <mml:mi>α</mml:mi> <mml:mi>s</mml:mi> <mml:mn>4</mml:mn> </mml:msubsup> </mml:mfenced> </mml:math> for process induced by coupling, assuming massless...

Laser interaction with a nanobrush target plasma is investigated at the SILEX-I laser facility [X. F. Wei et al., J. Phys. Conf. Ser. 112, 032010 (2008)] of intensity 7.9×1018 W/cm2. Highly collimated fast electron beams yields more than three times higher that from planar can be produced. Two-dimensional particle-in-cell simulation confirms layered surface structure increase efficiency energy absorption, and resulting electrons are tightly guided by layers to cross section about spot size.

Feynman loop integrals are a key ingredient for the calculation of higher order radiation effects, and responsible reliable accurate theoretical prediction. We improve efficiency numerical integration in sector decomposition by implementing quasi-Monte Carlo method associated with CUDA/GPU technique. For demonstration we present results several up to two loops both Euclidean physical kinematic regions comparison those obtained from FIESTA3. It is shown that planar non-planar two-loop master...

We present a precise theoretical prediction for the signal-background interference process of $gg(\to h^*) \to ZZ$, which is useful to constrain Higgs boson decay width and measure couplings SM particles. The approximate NNLO $K$-factor in range $2.05-2.45$ ($1.85-2.25$), depending on $M_{ZZ}$, at 8 (13) TeV LHC. And soft gluon resummation can increase result by about $10\%$ both 13 uncertainties including scale, uncalculated multi-loop amplitudes background PDF$+\alpha_s$ are roughly...

We present theoretical predictions for mono-Z production in the search dark matter Run-II at LHC, including next-to-leading order QCD corrections and parton-shower effects. consider generic simplified models with vector scalar s-channel mediators. The calculation is performed by implementing FeynRules/MadGraph5_aMC@NLO framework, which allows us to include higher-order effects an automated way. find that these are sizeable help reduce uncertainties. also investigate discovery potential...

A bstract The Higgs boson decay to a massive bottom quark pair provides the dominant contribution width. We present an exact result for such induced by Yukawa coupling with next-to-next-to-leading order (NNLO) QCD corrections. have adopted canonical differential equations in calculation and obtained terms of multiple polylogarithms. also compute from four quarks which consists complete elliptic integrals or their one-fold integrals. small mass limit coincides previous using large momentum...

We study a generic Higgs boson and top quark associated production via model-independent flavor-changing neutral-current couplings at the LHC, including complete QCD next-to-leading order (NLO) corrections to decay of boson. find that NLO can increase total cross sections by about 48.9% 57.9% for $Htu$ $Htc$ coupling induced processes respectively. After kinematic cuts are imposed on products boson, reduced 11% process almost vanish process. Moreover, reduce dependence renormalization...