Papers
Topics
Authors
Recent
Search
2000 character limit reached

Asymptotic behavior of angular integrals in the massless limit

Published 14 Mar 2024 in hep-ph | (2403.09773v2)

Abstract: We investigate the small-mass asymptotics of a class of massive $d$ dimensional angular integrals. These integrals arise in a wide range of perturbative quantum field theory calculations. We derive expressions characterizing their behavior in the vicinity of the massless limit for all cases with up to two denominators. The results established in this work are applicable to phase-space calculations where an integration over virtuality including the massless limit is required.

Authors (1)
Definition Search Book Streamline Icon: https://streamlinehq.com
References (29)
  1. A. Schellekens, Perturbative QCD and lepton pair production, Ph.D. thesis, Nijmegen University (1981).
  2. W. van Neerven, Dimensional Regularization of Mass and Infrared Singularities in Two Loop On-shell Vertex Functions, Nucl. Phys. B 268, 453 (1986).
  3. G. Somogyi, Angular integrals in d dimensions, J. Math. Phys. 52, 083501 (2011), arXiv:1101.3557 [hep-ph] .
  4. V. E. Lyubovitskij, F. Wunder and A. S. Zhevlakov, New ideas for handling of loop and angular integrals in D-dimensions in QCD, JHEP 06 (2021), 066, arXiv:2102.08943 [hep-ph] .
  5. P. Bolzoni, G. Somogyi, and Z. Trocsanyi, A subtraction scheme for computing QCD jet cross sections at NNLO: integrating the iterated singly-unresolved subtraction terms, JHEP 01 (2011), 059, arXiv:1011.1909 [hep-ph] .
  6. B. Lillard, T. M. P. Tait, and P. Tanedo, Kaluza-Klein gluons at 100 TeV: NLO corrections, Phys. Rev. D 94, 054012 (2016), arXiv:1602.08622 [hep-ph] .
  7. W. Kotlarski, Sgluons in the same-sign lepton searches, JHEP 02 (2017), 027, arXiv:1608.00915 [hep-ph] .
  8. S. Lionetti, Subtraction of Infrared Singularities at Higher Orders in QCD, Ph.D. thesis, ETH Zürich (2018).
  9. C. Specchia, Perturbative Corrections to Inclusive and Differential Cross Sections for Higgs Production at the LHC, Ph.D. thesis, ETH Zürich (2018).
  10. D. Baranowski, NNLO zero-jettiness beam and soft functions to higher orders in the dimensional-regularization parameter ϵitalic-ϵ\epsilonitalic_ϵ, Eur. Phys. J. C 80, 523 (2020), arXiv:2004.03285 [hep-ph] .
  11. G. Isidori, S. Nabeebaccus, and R. Zwicky, QED corrections in B¯→K¯⁢ℓ+⁢ℓ−→¯𝐵¯𝐾superscriptℓsuperscriptℓ\overline{B}\to\overline{K}{\mathrm{\ell}}^{+}{\mathrm{\ell}}^{-}over¯ start_ARG italic_B end_ARG → over¯ start_ARG italic_K end_ARG roman_ℓ start_POSTSUPERSCRIPT + end_POSTSUPERSCRIPT roman_ℓ start_POSTSUPERSCRIPT - end_POSTSUPERSCRIPT at the double-differential level, JHEP 2020 (12), arXiv:2009.00929 [hep-ph] .
  12. S. Alioli, A. Broggio, and M. A. Lim, Zero-jettiness resummation for top-quark pair production at the LHC, JHEP 2022 (1), 1.
  13. B. Assi and S. Höche, A new approach to QCD evolution in processes with massive partons (2023), arXiv:2307.00728 [hep-ph] .
  14. S. Catani and P. K. Dhani, Collinear functions for QCD resummations, JHEP 2023 (3), 1, arXiv:2208.05840 [hep-ph] .
  15. S. Pal and S. Seth, On H+jet production at NLP accuracy (2023), arXiv:2309.08343 [hep-ph] .
  16. T. Matsuura, S. Van Der Marck, and W. Van Neerven, The calculation of the second order soft and virtual contributions to the Drell-Yan cross section, Nucl. Phys. B 319, 570 (1989).
  17. T. Matsuura, R. Hamberg, and W. L. van Neerven, The contribution of the gluon-gluon subprocess to the Drell-Yan K-factor, Nucl. Phys. B 345, 331 (1990).
  18. R. Hamberg, W. Van Neerven, and T. Matsuura, A complete calculation of the order αs2superscriptsubscript𝛼𝑠2\alpha_{s}^{2}italic_α start_POSTSUBSCRIPT italic_s end_POSTSUBSCRIPT start_POSTSUPERSCRIPT 2 end_POSTSUPERSCRIPT correction to the Drell-Yan K-factor, Nucl. Phys. B 359, 343 (1991).
  19. E. Mirkes, Angular decay distribution of leptons from W bosons at NLO in hadronic collisions, Nucl. Phys. B 387, 3 (1992).
  20. D. W. Duke and J. F. Owens, Quantum-chromodynamic corrections to deep-inelastic compton scattering, Phys. Rev. D 26, 1600 (1982).
  21. F. Hekhorn, Next-to-Leading Order QCD Corrections to Heavy-Flavour Production in Neutral Current DIS, Ph.D. thesis, University of Tübingen (2019), arXiv:1910.01536 [hep-ph] .
  22. D. Anderle, D. de Florian, and Y. Rotstein Habarnau, Towards semi-inclusive deep inelastic scattering at next-to-next-to-leading order, Phys. Rev. D 95, 034027 (2017), arXiv:1612.01293 [hep-ph] .
  23. L. Gordon and W.  , Polarized and unpolarized prompt photon production beyond the leading order, Phys. Rev. D 48, 3136 (1993).
  24. M. Schlegel, Partonic description of the transverse target single-spin asymmetry in inclusive deep-inelastic scattering, Phys. Rev. D 87, 034006 (2013), arXiv:1211.3579 [hep-ph] .
  25. F. Ringer and W. Vogelsang, Single-Spin Asymmetries in W Boson Production at Next-to-Leading Order, Phys. Rev. D 91, 094033 (2015), arXiv:1503.07052 [hep-ph] .
  26. G. ’t Hooft and M. Veltman, Regularization and renormalization of gauge fields, Nucl. Phys. B 44, 189 (1972).
  27. C. G. Bollini and J. J. Giambiagi, Dimensional Renormalization: The Number of Dimensions as a Regularizing Parameter, Nuovo Cim. B 12, 20 (1972).
  28. J. Haug and F. Wunder, The massless single off-shell scalar box integral — branch cut structure and all-order epsilon expansion, JHEP 02 (2023), 177, arXiv:2211.14110 [hep-ph] .
  29. C. Duhr and F. Dulat, PolyLogTools — polylogs for the masses, JHEP 08 (2019), 135, arXiv:1904.07279 [hep-th] .
Citations (2)

Summary

No one has generated a summary of this paper yet.

Paper to Video (Beta)

No one has generated a video about this paper yet.

Whiteboard

No one has generated a whiteboard explanation for this paper yet.

Open Problems

We haven't generated a list of open problems mentioned in this paper yet.

Continue Learning

We haven't generated follow-up questions for this paper yet.

Collections

Sign up for free to add this paper to one or more collections.

Tweets

Sign up for free to view the 2 tweets with 0 likes about this paper.