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Loop-tree duality (LTD) offers a promising avenue to numerically integrate multiloop integrals directly in momentum space. It is well established at one loop, but there have been only sparse numerical results at two loops. We provide a formal derivation for a novel multiloop LTD expression and study its threshold singularity structure. We apply our findings numerically to a diverse set of up to four-loop finite topologies with kinematics for which no contour deformation is needed. We also lay down the ground work for constructing such a deformation. Our results serve as an important stepping stone towards a generalized and efficient numerical implementation of LTD, which is applicable to the computation of virtual corrections.
This article was published in the following journal.
Name: Physical review letters
We relate an l-loop Feynman integral to a sum of phase space integrals, where the integrands are determined by the spanning trees of the original l-loop graph. Causality requires that the propagators ...
This corrects the article DOI: 10.1103/PhysRevLett.122.111603.
Traction methods have been reported to speed up endoscopic submucosal dissection (ESD). We used multiloop (M-loop) method as traction method for colorectal ESD and recorded its submucosal dissection t...
Integration-to-boundary is a prominent normative principle used in evidence-based decisions to explain the speed-accuracy trade-off and determine the decision-time. Despite its prominence, however, th...
In this paper we explore the role of duality principles within the problem of rotation averaging, a fundamental task in a wide range of applications. In its conventional form, rotation averaging is st...
Mild to moderate facial acne is an extremely common disease of teenagers and young adults. This pilot study will investigate whether treatment with a gel containing tea tree oil reduces nu...
Allergen-specific immunotherapy (SIT), the administration of gradually increasing quantities of an allergen extract to an allergic patient, is a curative approach which directly treats the...
Tree MATA (modified pollen allergen tyrosine adsorbate) has been developed to provide pre-seasonal specific immunotherapy for patients with hypersensitivity to tree (birch, alder, and haze...
This study aims to compare the safety and the compliance to different procedures (A: at home or B: at the hospital) for introducing tree nuts into the diet of patients with Immunoglobulin ...
The investigators hypothesize that our closed-loop glucose-control system can provide BG control in subjects with type 1 diabetes using the estimated BG signal from a CGM as the input sign...
Insertion of viral DNA into host-cell DNA. This includes integration of phage DNA into bacterial DNA; (LYSOGENY); to form a PROPHAGE or integration of retroviral DNA into cellular DNA to form a PROVIRUS.
The only family of the order SCANDENTIA, variously included in the order Insectivora or in the order Primates, and often in the order Microscelidea, consisting of five genera. They are TUPAIA, Ananthana (Indian tree shrew), Dendrogale (small smooth-tailed tree shrew), Urogale (Mindanao tree shrew), and Ptilocercus (pen-tailed tree shrew). The tree shrews inhabit the forest areas of eastern Asia from India and southwestern China to Borneo and the Philippines.
The integration of exogenous DNA into the genome of an organism at sites where its expression can be suitably controlled. This integration occurs as a result of homologous recombination.
Essential oil extracted from Melaleuca alternifolia (tea tree). It is used as a topical antimicrobial due to the presence of terpineol.
Dried tree sap from the MASTIC TREE that is used in TRADITIONAL MEDICINE and chewed as gum.