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On the Determination of Regions in Multi-scale, Multi-loop Feynman Integrals

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Proceedings of the XXIV DAE-BRNS High Energy Physics Symposium, Jatni, India

Part of the book series: Springer Proceedings in Physics ((SPPHY,volume 277))

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Abstract

The analytic evaluation of multi-scale Feynman integrals is difficult due to the presence of various scales of the problem. When exact calculation is very difficult or impossible, systematic approximations may help. The strategy of expansion by regions is a useful method for obtaining the asymptotic analysis of multi-scale Feynman integrals. In this talk, we present a novel method for the identification of regions associated with multi-scale Feynman integrals.

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Notes

  1. 1.

    According to Bruno’s theorem [9, 10], the asymptotic solution for truncated polynomial for each of the facets of Newton polytopes can be obtained from the components of the normal vector of the facets.

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Author information

Authors and Affiliations

  1. Centre for High Energy Physics, Indian Institute of Science, Bangalore, 560012, KA, India

    B. Ananthanarayan & Ratan Sarkar

  2. Department of Physics and Astronomy, Bartol Research Institute, University of Delaware, Newark, 19716, USA

    Abhishek Pal

  3. Department of Physics, Indian Institute of Technology Madras, Chennai, 600036, TN, India

    Sunethra Ramanan

Authors
  1. B. Ananthanarayan
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  2. Abhishek Pal
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  3. Sunethra Ramanan
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  4. Ratan Sarkar
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Corresponding author

Correspondence to Ratan Sarkar .

Editor information

Editors and Affiliations

  1. School of Physical Sciences, National Institute of Science Education and Research, Jatni, India

    Bedangadas Mohanty

  2. School of Physical Sciences, National Institute of Science Education and Research, Jatni, India

    Sanjay Kumar Swain

  3. School of Physical Sciences, National Institute of Science Education and Research, Jatni, India

    Ranbir Singh

  4. School of Physical Sciences, National Institute of Science Education and Research, Jatni, India

    Varchaswi K. S. Kashyap

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Ananthanarayan, B., Pal, A., Ramanan, S., Sarkar, R. (2022). On the Determination of Regions in Multi-scale, Multi-loop Feynman Integrals. In: Mohanty, B., Swain, S.K., Singh, R., Kashyap, V.K.S. (eds) Proceedings of the XXIV DAE-BRNS High Energy Physics Symposium, Jatni, India. Springer Proceedings in Physics, vol 277. Springer, Singapore. https://doi.org/10.1007/978-981-19-2354-8_36

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  • DOI: https://doi.org/10.1007/978-981-19-2354-8_36

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  • Publisher Name: Springer, Singapore

  • Print ISBN: 978-981-19-2353-1

  • Online ISBN: 978-981-19-2354-8

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