scholarly journals Reduction of one-loop integrals with higher poles by unitarity cut method

2021 ◽  
Vol 2021 (7) ◽  
Author(s):  
Bo Feng ◽  
Hongbin Wang
Keyword(s):  

Abstract Unitarity cut method has been proved to be very useful in the computation of one-loop integrals. In this paper, we generalize the method to the situation where the powers of propagators in the denominator are larger than one in general. We show how to use the trick of differentiation over masses to translate the problem to the integrals where all powers are just one. Then by using the unitarity cut method, we can find the wanted reduction coefficients of all basis except the tadpole. Using this method, we calculate the reduction of scalar bubble, scalar triangle, scalar box and scalar pentagon with general power of propagators.

2015 ◽  
Vol 1 (1) ◽  
Author(s):  
Ruswana Anwar ◽  
Muhammad Alif ◽  
Adhi Pribadi

Endometriosis is one of the most common gynecological problem. Cells resulted in chronic inflammation and progressive, proliferative, invasive and even infiltrating an area that resembles the character of the malignancy. Ki-67 is an antigen on the cell nucleus that is found only in actively dividing cells. Expression of Ki-67 are associated with an aggressive tumor and metastasis. This study aims to determine the level of Ki-67 expression correlation with stage and size of the endometriosis cyst. Methods research is observational analytic cross cut method on 56 paraffin blocks of patients who have been diagnosed with endometriosis and had performed a laparotomy or laparoscopic surgery in Dr Hasan Sadikin Hospital. The results showed a significant relationship between the level of expression of Ki-67 with endometriosis cyst size (p <0.001) with a fairly strong relationship (0.55) according to statistics based on criteria Guilford. Moreover the results also showed a significant relationship between the level of expression of Ki-67 with endometriosis stage (p <0.001) with a fairly close relationship (0.564) according to statistics based on criteria Guilford. It can be concluded that the expression of Ki-67 associated with cyst size and stage of endometriosis. Keywords: Ki-67, endometriosis stage, endometriosis cyst


1995 ◽  
Vol 06 (03) ◽  
pp. 509-538 ◽  
Author(s):  
BERNHARD M. RIESS ◽  
ANDREAS A. SCHOENE

A new layout design system for multichip modules (MCMs) consisting of three components is described. It includes a k-way partitioning approach, an algorithm for pin assignment, and a placement package. For partitioning, we propose an analytical technique combined with a problem-specific multi-way ratio cut method. This method considers fixed module-level pad positions and assigns the cells to regularly arranged chips on the MCM substrate. In the subsequent pin assignment step the chip-level pads resulting from cut nets are positioned on the chip borders. Pin assignment is performed by an efficient algorithm, which profits from the cell coordinates generated by the analytical technique. Global and final placement for each chip is computed by the state-of-the-art placement tools GORDIANL and DOMINO. For the first time, results for MCM layout designs of benchmark circuits with up to 100,000 cells are presented. They show a small number of required chip-level pads, which is the most restricted resource in MCM design, and short total wire lengths.


2007 ◽  
Vol 645 (2-3) ◽  
pp. 213-216 ◽  
Author(s):  
Charalampos Anastasiou ◽  
Ruth Britto ◽  
Bo Feng ◽  
Zoltan Kunszt ◽  
Pierpaolo Mastrolia
Keyword(s):  

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