We develop an approach for calculating heavy quark effective theory (HQET) light-cone distribution amplitudes (LCDAs) by employing a sequential methodology. The theoretical foundation of the framework is established, elucidating how quasidistribution (quasi-DAs) with three scales can be utilized to compute HQET LCDAs. provide support this demonstrating rationale behind devising hierarchical ordering involved scales, discussing factorization at each step, clarifying underlying reason...

Gluon parton distribution functions (PDFs) in the proton can be calculated directly on Euclidean lattices using large momentum effective theory (LaMET). To realize this goal, one has to find renormalized gluon quasi-PDFs which power divergences and operator mixing are thoroughly understood. For unpolarized distribution, we identify four independent quasi-PDF correlators that multiplicatively lattice. Similarly, helicity derived from three renormalizable quasi-PDFs. We provide a LaMET...

We complete the procedure of extracting parton distribution functions (PDFs) using large momentum effective theory (LaMET) at leading power accuracy in hadron momentum. derive a general factorization formula for quasi PDFs presence mixing, and give corresponding hard matching kernel $\mathcal O(\alpha_s)$, both unpolarized polarized quark gluon quasi-PDFs. Our calculation is performed regularization-independent subtraction scheme. The results allow us to match nonperturbatively renormalized...

Within the framework of large momentum effective theory (LaMET), genenaralized parton distributions (GPDs) can be extracted from lattice calculations quasi-GPDs through a perturbative matching relation, up to power corrections that are suppressed by hadron momentum. In this paper, we focus on isovector quark GPDs, including unpolarized, longitudinally and transversely polarized cases, present one-loop connects renormalized in regularization-independent subtraction (RI/MOM) scheme GPDs MS...

A new method for the model-independent determination of light-cone distribution amplitude $B$-meson in heavy quark effective theory (HQET) is proposed by combining large momentum and numerical simulation technique on Euclidean lattice. We demonstrate autonomous scale dependence nonlocal quasi-HQET operator with aid auxiliary field approach, further determine perturbative matching coefficient entering hard-collinear factorization formula quasidistribution at one-loop accuracy. These results...

We study the unpolarized gluon quasidistribution function in nucleon at one loop level large momentum effective theory. For quark quasidistribution, power law ultraviolet divergences arise cut-off scheme and an important observation is that they all are subjected to Wilson lines. However for function, we first point out linear also exist real diagram which not connected any line. then corrections parton distribution functions both dimensional regularization deal with divergences. In addition...

Within the framework of large-momentum effective theory (LaMET), we propose a hard-collinear factorization formula to extract subleading-twist <a:math xmlns:a="http://www.w3.org/1998/Math/MathML" display="inline"><a:mi>B</a:mi></a:math>-meson light-cone distribution amplitude (LCDA) from quasidistribution calculated on lattice. The one-loop matching coefficient and an integro-differential equation governing evolution are derived. Our results could be useful either in evaluating <c:math...

Quarkonium production in hadron collisions at low transverse momentum $q_\perp \ll M$ with $M$ as the quarkonium mass can be used for probing dependent (TMD) gluon distributions. For this purpose, one needs to establish TMD factorization process. We examine one-loop level of $\eta_c$ or $\eta_b$. The perturbative coefficient is determined accuracy. Comparing derived tree and that beyond level, a soft factor is, general, needed completely cancel divergences. have also discussed possible...

A bstract Recent perturbative calculation of quasi gluon distribution function at one-loop level shows the existence extra linear ultraviolet divergences in cut-off scheme. We employ auxiliary field approach, and study renormalization operators. The non-local operator can mix with new operators under renormalization, be into newly introduced After including mixing, we find improved functions contain only logarithmic divergences, thus used to extract large momentum effective theory.

A bstract We demonstrate that gluon transverse-momentum-dependent parton distribution functions (TMDPDFs) can be extracted from lattice calculations of appropriate Euclidean correlations in large-momentum effective theory (LaMET). Based on perturbative unpolarized and helicity TMDPDFs, we present a matching formula connecting them their LaMET counterparts, where the latter are renormalized scheme facilitating converted to $$ \overline{\textrm{MS}} <mml:math...

The $x$ dependence of light-cone distribution amplitude (LCDA) can be directly calculated from a quasidistribution (DA) in lattice QCD within the framework large-momentum effective theory. In this paper, we study one-loop renormalization quasi-DA regularization-independent momentum subtraction (RI/MOM) scheme. factor for quasiparton function used to renormalize provided that they are implemented on and perturbation theory same manner. We derive matching coefficient matches RI/MOM scheme onto...

Carbon fiber composite sucker rods represent a technological innovation in oil production systems, exhibiting excellent performance. This rod not only improves efficiency and reduces accidents, but also saves energy lowers the operating costs of wells. However, working conditions carbon extraction system are relatively complex. The body adopts symmetrical structure formed by one-time solidification three layers (carbon/glass fiber) materials, requiring use steel combination, impact various...

Axially chiral structures have become increasingly common in modern materials and pharmaceuticals, especially as ligands organocatalysts, highlighting their growing significance. In the field of pharmaceutical research, there are several notable examples worth highlighting, such antibiotics vancomycin, Knipholone, Mastigophorene A. Over past decade, availability axially compounds has significantly improved through advancements existing strategies introduction catalytic atroposelective...

Lightcone distribution amplitudes (LCDAs) within the framework of heavy quark effective theory (HQET) play a crucial role in theoretical description weak decays bottom mesons. However, first-principle determination HQET LCDAs faces significant challenges. In this presentation, we introduce practical approach to address these obstacles. This makes sequential use field theories. Leveraging newly-generated lattice ensembles, present pioneering calculation, offering new insights into for...

We investigate the leading twist light-cone distribution amplitudes (LCDAs) of vector meson in framework large momentum effective theory. derive matching equation for LCDAs and quasi amplitudes. The coefficients are determined to one loop accuracy, both ultraviolet cut-off dimensional regularization schemes. This calculation provides possibility studying full $x$ behavior extracting mesons from lattice simulations.

Abstract It was demonstrated that the lattice simulation of B -meson light-cone distribution amplitude (LCDA) is feasible via quasi-distribution (quasi-DA) in large momentum effective theory (LaMET). The structures logarithmic moments (LMs) quasi-DA are explored this work. one-loop results indicate mixing matching: n -th LM would be not only factorized into LCDA, but also other with different power, accompanied by short distance coefficients. These supply understanding matching LaMET and may...

Quarkonium production at low transverse momentum in hadron collisions can be used to extract Transverse-Momentum-Dependent(TMD) gluon distribution functions, if TMD factorization holds there. We show that for the case of P-wave quarkonium with $J^{PC}=0^{++}, 2^{++}$ one-loop level, but is violated beyond level. other also already one-loop.

In collinear factorization, light-cone distribution amplitudes (LCDAs) are key ingredients to calculate the production rate of a hadron in high energy exclusive processes. For doubly-heavy meson system (such as B c , J/ψ, Y etc), LCDAs contain perturbative scales that can be integrated out and then re-factorized into products perturbatively calculable parts non-relativistic QCD matrix elements. this re-factorization scheme, known at next-to-leading order strong coupling constant α s leading...

Transverse-momentum-dependent parton distribution functions and wave (TMDPDFs/TMDWFs) can be extracted from lattice calculations of appropriate Euclidean matrix elements staple-shaped Wilson line operators. We investigate the mixing pattern such operators under renormalization using symmetry considerations. perform an analysis for with all Dirac structures, which reveals mixings that are not present in one-loop perturbation theory calculations. also relevant matching a scheme does introduce...

Explorations of the violation null energy condition (NEC) in cosmology could enrich our understanding very early universe and related gravity theories. Although a fully stable NEC can be realized ``beyond Horndeski'' theory, it remains an open question whether is allowed by some fundamental properties UV-complete theories or consistency requirements effective field theory (EFT). We investigate tree-level perturbative unitarity for violations contexts both Galileon genesis cosmology, which...

We discuss the implications of recently reported $R_K$ and $R_{K^*}$ anomalies, lepton flavor non-universality in $B\to K\ell^+\ell^-$ K^*\ell^+\ell^-$. Using two sets hadronic inputs form factors, we perform a fit new physics to data, significant contributions are found. suggest study universality number related rare $B, B_s, B_c$ $\Lambda_b$ decay channels, particular give predictions for $\mu$-to-$e$ ratios widths with different polarizations final state particles, $b\to d\ell^+\ell^-$...

We present a theoretical analysis of the $$D^-\rightarrow \pi ^+\pi ^- \ell \bar{\nu }$$ and $$\bar{D}^0\rightarrow ^0 decays. construct general angular distribution which can include arbitrary partial waves $$\pi $$ . Retaining S-wave P-wave contributions we study branching ratios, forward–backward asymmetries few other observables. The contribution is dominated by $$\rho ^0$$ resonance, analyzed using unitarized chiral perturbation theory. obtained fraction for $$D\rightarrow \rho \nu , at...

We propose the approach for a lattice investigation of light cone distribution amplitudes (LCDA) heavy-light mesons, such as $B$ meson, using formalism parton pseudodistributions. A basic ingredient is study short-distance behavior $B$-meson Ioffe-time amplitude (ITDA), which generalization LCDA in coordinate space. construct reduced ITDA and derive matching relation between LCDA. The ultraviolet finite, guarantees that continuum limit exists on lattice.

We perform a study on the structure of inverse moment (IM) quasidistributions, by taking $B$-meson quasidistribution amplitude (quasi-DA) as an example. Based one-loop calculation, we derive renormalization group equation and velocity evolution for first IM quasi-DA. find that, in large limit, quasi-DA can be factorized into well logarithmic moments light-cone distribution (LCDA), accompanied short distance coefficients. Our results useful either understanding patterns perturbative matching...