The Elliptic Double-Box Integral: Massless Amplitudes Beyond Polylogarithms

We derive an analytic representation of the ten-particle, two-loop double-box integral as an elliptic integral over weight-three polylogarithms. To obtain this form, we first derive a four-fold, rational (Feynman-)parametric representation for the integral, expressed directly in terms of dual-conformally invariant cross-ratios; from this, the desired form is easily obtained. The essential features of this integral are illustrated by means of a simplified toy model, and we attach the relevant expressions for both integrals in ancillary files. We propose a normalization for such integrals that renders all of their polylogarithmic degenerations pure, and we discuss the need for a new 'symbology' of iterated elliptic/polylogarithmic integrals in order to bring them to a more canonical form.Comment: 4+2 pages, 2 figures. Explicit results are included as ancillary files. v2: minor changes made for clarification; references adde

Beyond the Crayon Box

Background: Colorism is ingrained in systems like racism. Since, it is a global phenomenon among people of color also of all ages, it is pertinent to inform best practices in education with young people to promote healthy developmental growth. To diminish the racial/ethnic/color disparities experienced by students of color in American schools, it is essential to have substantial literature available that consist of the adverse consequences that colorism have on children and youth in schools. Such information will aid educators to better serve and care for the well-being of those who suffer effects of colorism. Methods/Design: Scholarly, peer-reviewed journal articles will be searched utilizing 10 of the EBSCOhost databases, JSTOR, Social Service Abstracts, and Google Scholar. The EBSCOhost databases will have an open date along with limiters for geography and age. JSTOR, Social Service Abstracts, and Google Scholar will have a publication date ranch of 2009-2020. Dissertations and Theses grey literature will not be excluded from those databases. The search selections of literature will be inclusive of all methodology designs. Following the PRISMA-P guidelines, the eligibility of literature will be set through raters screening the titles, abstracts, and subsequent full-texts. Data extraction and synthesis will be conducted for both qualitative and quantitative analyses. Discussion: This scoping review will ascertain barriers to success for young people of color through examining the outcomes linked to colorism. Furthermore, it will disseminate an understanding of cultural competency to meet the needs of diverse groups

Beyond the Crayon Box

Background: Colorism is ingrained in systems like racism. Since, it is a global phenomenon among people of color also of all ages, it is pertinent to inform best practices in education with young people to promote healthy developmental growth. To diminish the racial/ethnic/color disparities experienced by students of color in American schools, it is essential to have substantial literature available that consist of the adverse consequences that colorism have on children and youth in schools. Such information will aid educators to better serve and care for the well-being of those who suffer effects of colorism. Methods/Design: Scholarly, peer-reviewed journal articles will be searched utilizing 10 of the EBSCOhost databases, JSTOR, Social Service Abstracts, and Google Scholar. The EBSCOhost databases will have an open date along with limiters for geography and age. JSTOR, Social Service Abstracts, and Google Scholar will have a publication date ranch of 2009-2020. Dissertations and Theses grey literature will not be excluded from those databases. The search selections of literature will be inclusive of all methodology designs. Following the PRISMA-P guidelines, the eligibility of literature will be set through raters screening the titles, abstracts, and subsequent full-texts. Data extraction and synthesis will be conducted for both qualitative and quantitative analyses. Discussion: This scoping review will ascertain barriers to success for young people of color through examining the outcomes linked to colorism. Furthermore, it will disseminate an understanding of cultural competency to meet the needs of diverse groups

The Official Student Newspaper of UAS

UAS Answers -- Depletion: reconceptualizing uranium and ‘the other’ -- Red Velvet Cupcakes: It doesn’t have to come from a box -- UAS abroad: Exploring language, culture, history -- Beyond the textbook page: travels in Ghana -- Stress Week: Eight ways to decompress -- Campus Calenda

Gamma-Z box contributions to parity violating elastic e-p scattering

Parity-violating (PV) elastic electron-proton scattering measures Q-weak for the proton, $Q_W^p$. To extract $Q_W^p$ from data, all radiative corrections must be well-known. Recently, disagreement on the gamma-Z box contribution to $Q_W^p$ has prompted the need for further analysis of this term. Here, we support one choice of a debated factor, go beyond the previously assumed equality of electromagnetic and gamma-Z structure functions, and find an analytic result for one of the gamma-Z box integrals. Our numerical evaluation of the gamma-Z box is in agreement within errors with previous reports, albeit somewhat larger in central value, and is within the uncertainty requirements of current experiments.Comment: 4 pages, 4 figures, v2: reference added, typo fixe

A Note on the least squarefree number in an arithmetic progression

We prove an asymptotic formula for squarefree in arithmetic progressions with squarefree moduli, improving previous results by Prachar. The main tool is an estimate for counting solutions of a congruence inside a box that goes beyond what can be obtained by using the Weil bound.Comment: 6 pages, no figure

Zonal Flows and Long-Lived Axisymmetric Pressure Bumps in Magnetorotational Turbulence

We study the behavior of magnetorotational turbulence in shearing box simulations with a radial and azimuthal extent up to ten scale heights. Maxwell and Reynolds stresses are found to increase by more than a factor two when increasing the box size beyond two scale heights in the radial direction. Further increase of the box size has little or no effect on the statistical properties of the turbulence. An inverse cascade excites magnetic field structures at the largest scales of the box. The corresponding 10% variation in the Maxwell stress launches a zonal flow of alternating sub- and super-Keplerian velocity. This in turn generates a banded density structure in geostrophic balance between pressure and Coriolis forces. We present a simplified model for the appearance of zonal flows, in which stochastic forcing by the magnetic tension on short time-scales creates zonal flow structures with life-times of several tens of orbits. We experiment with various improved shearing box algorithms to reduce the numerical diffusivity introduced by the supersonic shear flow. While a standard finite difference advection scheme shows signs of a suppression of turbulent activity near the edges of the box, this problem is eliminated by a new method where the Keplerian shear advection is advanced in time by interpolation in Fourier space.Comment: Accepted for publication in Ap