scholarly journals Complete integration-by-parts reductions of the non-planar hexagon-box via module intersections

2018 ◽  
Vol 2018 (9) ◽  
Author(s):  
Janko Böhm ◽  
Alessandro Georgoudis ◽  
Kasper J. Larsen ◽  
Hans Schönemann ◽  
Yang Zhang
1990 ◽  
Vol 16 (1) ◽  
pp. 34
Author(s):  
Henstock
Keyword(s):  

2021 ◽  
Vol 10 (1) ◽  
pp. 1301-1315
Author(s):  
Eduardo Cuesta ◽  
Mokhtar Kirane ◽  
Ahmed Alsaedi ◽  
Bashir Ahmad

Abstract We consider a fractional derivative with order varying in time. Then, we derive for it a Leibniz' inequality and an integration by parts formula. We also study an initial value problem with our time variable order fractional derivative and present a regularity result for it, and a study on the asymptotic behavior.


2021 ◽  
Vol 2021 (4) ◽  
Author(s):  
Bakul Agarwal ◽  
Federico Buccioni ◽  
Andreas von Manteuffel ◽  
Lorenzo Tancredi

Abstract We present the leading colour and light fermionic planar two-loop corrections for the production of two photons and a jet in the quark-antiquark and quark-gluon channels. In particular, we compute the interference of the two-loop amplitudes with the corresponding tree level ones, summed over colours and polarisations. Our calculation uses the latest advancements in the algorithms for integration-by-parts reduction and multivariate partial fraction decomposition to produce compact and easy-to-use results. We have implemented our results in an efficient C++ numerical code. We also provide their analytic expressions in Mathematica format.


2018 ◽  
Vol 18 (2) ◽  
pp. 871-897 ◽  
Author(s):  
Stefano Bonaccorsi ◽  
Giuseppe Da Prato ◽  
Luciano Tubaro

2021 ◽  
Author(s):  
Shivam Gupta ◽  
Saurabh Bansal

Policymakers often seek to integrate markets as a way to maximize social welfare. In this article, the authors consider the spectrum of all possible integration policies, from full isolation to complete integration, and characterize the socially optimal market integration, under general demands. They identify market conditions under which social surplus is indeed maximized at partial market integration. For the linear price-responsive demand model that is used extensively in the operations management literature, these conditions are identified as thresholds on (i) the relative size of the markets being integrated, and (ii) the relative price sensitivity of consumers in these markets. The authors then apply the model to the commercial seed market in the European Union (EU). Their analysis shows that socially optimal market integration for these countries provides a further improvement in the social surplus for the EU by 2.80%, relative to complete integration. Results show that policymakers should exercise caution in determining the extent to which markets are integrated.


Sign in / Sign up

Export Citation Format

Share Document