Massive two-loop four-point Feynman integrals at high energies with AsyInt

被引：3

作者：

Zhang, Hantian ^{[1
]}

机构：

[1] Karlsruhe Inst Technol KIT, Inst Theoret Teilchenphys, Wolfgang-Gaede Str 1, D-76128 Karlsruhe, Germany

来源：

JOURNAL OF HIGH ENERGY PHYSICS | 2024年 / 09期

关键词：

Automation; Higher Order Electroweak Calculations; Higher-Order Perturbative Calculations; MELLIN TRANSFORMS; HARMONIC SUMS;

D O I：

10.1007/JHEP09(2024)069

中图分类号：

O412 [相对论、场论]; O572.2 [粒子物理学];

学科分类号：

摘要：

We present analytic techniques for parametric integrations of massive two-loop four-point Feynman integrals at high energies, and their implementation in the toolbox AsyInt. In the high-energy region, the Feynman integrals involving external and internal massive particles, such as the top quark, Higgs and vector bosons, can be asymptotically expanded and directly calculated in the small-mass limit. With this approach, analytic results for higher-order terms in the expansion parameter and the dimensional regulator can be obtained with AsyInt. These results are important ingredients for the two-loop electroweak and QCD corrections for 2 -> 2 scattering processes in the large transverse momenta region, which is relevant to both precision collider phenomenology and new physics searches at current and future high-energy colliders. In this paper, analytic results of representative planar and non-planar Feynman integrals are presented.

引用

页数：46

共 82 条

[1] A detailed map of Higgs boson interactions by the ATLAS experiment ten years after the discovery [J].

Aad, G. ;

Abbott, B. ;

Abbott, D. C. ;

Abeling, K. ;

Abidi, S. H. ;

Aboulhorma, A. ;

Abramowicz, H. ;

Abreu, H. ;

Abulaiti, Y. ;

Hoffman, A. C. Abusleme ;

Acharya, B. S. ;

Achkar, B. ;

Adam, L. ;

Bourdarios, C. Adam ;

Adamczyk, L. ;

Adamek, L. ;

Addepalli, S. V. ;

Adelman, J. ;

Adiguzel, A. ;

Adorni, S. ;

Adye, T. ;

Affolder, A. A. ;

Afik, Y. ;

Agaras, M. N. ;

Agarwala, J. ;

Aggarwal, A. ;

Agheorghiesei, C. ;

Aguilar-Saavedra, J. A. ;

Ahmad, A. ;

Ahmadov, F. ;

Ahmed, W. S. ;

Ahuja, S. ;

Ai, X. ;

Aielli, G. ;

Aizenberg, I. ;

Akbiyik, M. ;

Akesson, T. P. A. ;

Akimov, A. V. ;

Al Khoury, K. ;

Alberghi, G. L. ;

Albert, J. ;

Albicocco, P. ;

Verzini, M. J. Alconada ;

Alderweireldt, S. ;

Aleksa, M. ;

Aleksandrov, I. N. ;

Alexa, C. ;

Alexopoulos, T. ;

Alfonsi, A. ;

Alfonsi, F. .

NATURE, 2022, 607 (7917) :52-+

[2] Calculating three loop ladder and V-topologies for massive operator matrix elements by computer algebra [J].

Ablinger, J. ;

Behring, A. ;

Bluemlein, J. ;

De Freitas, A. ;

von Manteuffel, A. ;

Schneider, C. .

COMPUTER PHYSICS COMMUNICATIONS, 2016, 202 :33-112

[3] Iterated binomial sums and their associated iterated integrals [J].

Ablinger, J. ;

Bluemlein, J. ;

Raab, C. G. ;

Schneider, C. .

JOURNAL OF MATHEMATICAL PHYSICS, 2014, 55 (11)

[4] Generalized Harmonic, Cyclotomic, and Binomial Sums, their Polylogarithms and Special Numbers [J].

Ablinger, J. ;

Bluemlein, J. ;

Schneider, C. .

15TH INTERNATIONAL WORKSHOP ON ADVANCED COMPUTING AND ANALYSIS TECHNIQUES IN PHYSICS RESEARCH (ACAT2013), 2014, 523

[5]

Ablinger J., 2018, PoS LL2018

[6]

Ablinger J., 2012, ARXIV13050687MATHPH

[7]

Ablinger J., 2018, PoS, VRADCOR2017, P001

[8]

Ablinger J., 2014, POS LL2014

[9]

Ablinger J., 2016, POS LL2016

[10]

Ablinger J, 2010, Arxiv, DOI arXiv:1011.1176

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