A toolbox for $$$$q_{T}$$$$ and 0-jettiness subtractions at $$$$\hbox {N}^3\hbox {LO}$$$$

Journal Article · 01 February 2021 · European Physical Journal Plus

DOI:https://doi.org/10.1140/epjp/s13360-021-01155-y· OSTI ID:1851469

Billis, Georgios; Ebert, Markus A.; Michel, Johannes K. L.; Tackmann, Frank J.

We derive the leading-power singular terms at three loops for both $$q_T$$ and 0-jettiness, $$T_0$$, for generic color-singlet processes. Our results provide the complete set of differential subtraction terms for $$q_T$$ and $$T_0$$ subtractions at N³LO, which are an important ingredient for matching N³LO calculations with parton showers. We obtain the full three-loop structure of the relevant beam and soft functions, which are necessary ingredients for the resummation of $$q_T$$ and $$T_0$$ at N³LL' and N⁴LL order, and which constitute important building blocks in other contexts as well. The nonlogarithmic boundary coefficients of the beam functions, which contribute to the integrated subtraction terms, are not yet fully known at three loops. By exploiting consistency relations between different factorization limits, we derive results for the $$q_T$$ and $$T_0$$ beam function coefficients at N³LO in the z→1 threshold limit, and we also estimate the size of the unknown terms beyond threshold.

• Research Organization: Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States)
• Sponsoring Organization: USDOE Office of Science (SC)
• DOE Contract Number: SC0011090
• OSTI ID: 1851469
• Journal Information: European Physical Journal Plus, Vol. 136, Issue 2; ISSN 2190-5444
• Publisher: Springer
• Country of Publication: United States
• Language: English

Related Subjects

Physics