Polarised deep inelastic scattering accompanied by a forward jet as a probe of the ln⁡2(1/x)\ln^2(1/x) resummation

We argue that the production of forward jets in polarised deep inelastic scattering can be a useful tool for probing the double $ln^2(1/x)$ resummation effects which control the polarised deep inelastic scattering for small values of the Bjorken parameter $x$. We solve the corresponding integral equations generating the double $ln^2(1/x)$ resummation and calculate the differential structure function describing the forward jet production in the small $x$ regime which can possibly be probed by the polarised HERA measurements. We show that these structure functions should exhibit the characteristic increase with decreasing $x/x_J$, where $x_J$ denotes the longitudinal momentum fraction of the parent proton carried by a jet, and we quantify this increase.Comment: 13 pages, latex, 5 figure

QCD predictions for polarised deep inelastic scattering accompanied by a forward jet in the low x region of possible HERA measurements

We estimate the cross-section and asymmetry relevant for the production of forward jets in polarised deep inelastic scattering in the region of small values of $x$ which can be probed at possible polarised HERA measurements. The kinematical cuts implemented in our analysis are the same as those which were used in the unpolarised deep inelastic scattering at HERA. The calculations are based on the double ln^2(1/x) resummation which controls the polarised deep inelastic scattering for small values of the Bjorken parameter x. We show that this resummation substantially enhances the corresponding cross-section and asymmetry. The predicted value of the asymmetry is found to vary between -0.01 and -0.04 within the small x region which can possibly be probed at polarised HERA measurements.Comment: 9 pages, latex, 3 figure

Mutually Intelligible Principles?

Are the nondelegation, major questions, and political question doctrines mutually intelligible? This article asks whether there is more than superficial resemblance between the nondelegation, major questions, and political question concepts in Wayman v. Southard, 23 U.S. (10 Wheat.) 1 (1825), an early nondelegation case that has become focal in recent nondelegation and major questions scholarship and jurisprudence. I argue that the nondelegation and political question doctrines do interact conceptually in Wayman, though not as current proponents of the nondelegation doctrine on the Supreme Court seem to understand it. The major questions doctrine by contrast conscripts the nondelegation concept while overwriting its relationship with elements of the political question doctrine. In West Virginia v. EPA, 142 S. Ct. 2587 (2022), Justice Neil Gorsuch and his adherents have, in effect, subverted key aspects of Chief Justice John Marshall’s reasoning in Wayman while outwardly relying upon it to claim legitimacy. I conclude that faithfully reading Wayman urges a political question rationale for lower courts to decline to reach the merits of major questions and nondelegation challenges in the wake of West Virgini

Hot Oil and Hot Air: The Development of the Nondelegation Doctrine through the New Deal, a History 1813-1944

Current scholarship\u27s memory of the nondelegation doctrine\u27s history is neither long nor rich. It rightly recalls that the doctrine has not invalidated a statute since 1936 in Carter v. Carter Coal. Despite having been argued before the Court at least twenty two times from 1813 to 1944 alone, however, the doctrine only ever succeeded in three cases, all of which were challenges to statutory components of Franklin D. Roosevelt\u27s New Deal: Panama Refining v. Ryan in 1935, which is known famously as the hot oil case since it involved illicit oil sales, A.L.A. Schechter Poultry Corp. v. United States also in 1935, and Carter v. Carter Coal in 1936. Sparse attention, if any at all, is paid to the cases before and shortly after the Panama-Schechter-Cartert rilogy, excepting reference to United States v. Hampton\u27s intelligible principle test. Where the entire jurisprudence is discussed, the predominating narrative has been a linear one: The Court moved from an antiquated, sometimes idealized, rigid separation of powers approach, to a supple one brought about by an acceptance of the complexities of industrial life. The academic focus has been on why the doctrine collapsed rather than on how it came to be in the first place. Both questions merit study. Scholars furthermore point to Yakus v. United States in 1944 as the doctrine\u27s effective end, but the doctrine lost its momentum several years earlier. Scholars have declined, in sum, to consider the entire trajectory of the doctrine from The Cargo of the Brig Aurora in 1813 until Yakus v. United States in 1944. A broadened historical inquiry reflects a doctrine in constant flux

Spin constraints on Regge predictions and perturbative evolution in high energy collisions

Two key issues in the application of perturbative QCD and Regge predictions to high energy processes are whether the hard and soft pomerons should be considered as two separate distinct exchanges and whether the Regge intercepts are Q^2 independent or not. Models involving a distinct hard pomeron exchange predict much larger values for the LHC total cross-section. Here we argue that there is a polarized analogue of this issue in the isovector part of the spin structure function g_1 and that the spin data appear to favour a distinct hard exchange.Comment: 8 page

Using Plasma Metallisation for Manufacture of Textile Screens Against Electromagnetic Fields

In this study, a method of the metallisation of polypropylene (PP) nonwovens is presented.The influence of power dissipated in the target on the efficiency of screening a flat electromagnetic wave is discussed. Fabric metallisation was carried out using the standard magnetron sputtering process of Zn-Bi metal targets in argon ambient. A pulse current source with a changing group frequency was used for powering the target. The metallic layers obtained were characterised by good adhesion to PP, with a screening efficiency approaching 45 dB

Double logarithms, ln2(1/x)ln^2(1/x), and the NLO DGLAP evolution for the non-singlet component of the nucleon spin structure function, g1g_1

Theoretical predictions show that at low values of Bjorken $x$ the spin structure function, $g_1$ is influenced by large logarithmic corrections, $ln^2(1/x)$, which may be predominant in this region. These corrections are also partially contained in the NLO part of the standard DGLAP evolution. Here we calculate the non-singlet component of the nucleon structure function, $g_1^{NS}=g_1^p-g_1^n$, and its first moment, using a unified evolution equation. This equation incorporates the terms describing the NLO DGLAP evolution and the terms contributing to the $ln^2(1/x)$ resummation. In order to avoid double counting in the overlapping regions of the phase-space, a unique way of including the NLO terms into the unified evolution equation is proposed. The scheme-independent results obtained from this unified evolution are compared to the NLO fit to experimental data, GRSV'2000. Analysis of the first moments of $g_1^{NS}$ shows that the unified evolution including the $ln^2(1/x)$ resummation goes beyond the NLO DGLAP analysis. Corrections generated by double logarithms at low $x$ influence the $Q^2$-dependence of the first moments strongly.Comment: 13 pages, latex, 2 figures; Appendix adde