A toolbox for $$q_{T}$$ q T and 0-jettiness subtractions at $$\hbox {N}^3\hbox {LO}$$ N 3 LO
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13360_2021_Article_1155.pdf
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Author(s)
Billis, Georgios
Ebert, Markus A
Michel, Johannes K L
Tackmann, Frank J
Date Issued
February 16, 2021
Publisher
Springer Berlin Heidelberg
Citation
The European Physical Journal Plus. 2021 Feb 16;136(2):214
Version
Final published version
Abstract
Abstract
We derive the leading-power singular terms at three loops for both
$$q_T$$
q
T
and 0-jettiness,
$$\mathcal {T}_0$$
T
0
, for generic color-singlet processes. Our results provide the complete set of differential subtraction terms for
$$q_T$$
q
T
and
$$\mathcal {T}_0$$
T
0
subtractions at
$$\hbox {N}^3\hbox {LO}$$
N
3
LO
, which are an important ingredient for matching
$$\hbox {N}^3\hbox {LO}$$
N
3
LO
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
$$q_T$$
q
T
and
$$\mathcal {T}_0$$
T
0
at
$$\hbox {N}^3\hbox {LL}'$$
N
3
LL
′
and
$$\hbox {N}^4\hbox {LL}$$
N
4
LL
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
$$q_T$$
q
T
and
$$\mathcal {T}_0$$
T
0
beam function coefficients at
$$\hbox {N}^3\hbox {LO}$$
N
3
LO
in the
$$z\rightarrow 1$$
z
→
1
threshold limit, and we also estimate the size of the unknown terms beyond threshold.
MIT Department
Massachusetts Institute of Technology. Center for Theoretical Physics
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Creative Commons Attribution
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DOI of Published Version
https://doi.org/10.1140/epjp/s13360-021-01155-y
