A toolbox for $$q_{T}$$ q T and 0-jettiness subtractions at $$\hbox {N}^3\hbox {LO}$$ N 3 LO
Abstract We derive the leading-power singular terms at three loops for both $$q_T$$ q T...
| Main Authors: | , , , |
|---|---|
| Other Authors: | |
| Format: | Article |
| Language: | English |
| Published: |
Springer Berlin Heidelberg
2021
|
| Online Access: | https://hdl.handle.net/1721.1/132002 |
| _version_ | 1826192370164563968 |
|---|---|
| author | Billis, Georgios Ebert, Markus A Michel, Johannes K L Tackmann, Frank J |
| author2 | Massachusetts Institute of Technology. Center for Theoretical Physics |
| author_facet | Massachusetts Institute of Technology. Center for Theoretical Physics Billis, Georgios Ebert, Markus A Michel, Johannes K L Tackmann, Frank J |
| author_sort | Billis, Georgios |
| collection | MIT |
| description | 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. |
| first_indexed | 2024-09-23T09:10:59Z |
| format | Article |
| id | mit-1721.1/132002 |
| institution | Massachusetts Institute of Technology |
| language | English |
| last_indexed | 2024-09-23T09:10:59Z |
| publishDate | 2021 |
| publisher | Springer Berlin Heidelberg |
| record_format | dspace |
| spelling | mit-1721.1/1320022023-12-22T19:00:39Z A toolbox for $$q_{T}$$ q T and 0-jettiness subtractions at $$\hbox {N}^3\hbox {LO}$$ N 3 LO Billis, Georgios Ebert, Markus A Michel, Johannes K L Tackmann, Frank J Massachusetts Institute of Technology. Center for Theoretical Physics 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. 2021-09-20T17:41:22Z 2021-09-20T17:41:22Z 2021-02-16 2021-02-21T04:55:57Z Article http://purl.org/eprint/type/JournalArticle https://hdl.handle.net/1721.1/132002 The European Physical Journal Plus. 2021 Feb 16;136(2):214 PUBLISHER_CC en https://doi.org/10.1140/epjp/s13360-021-01155-y Creative Commons Attribution https://creativecommons.org/licenses/by/4.0/ The Author(s) application/pdf Springer Berlin Heidelberg Springer Berlin Heidelberg |
| spellingShingle | Billis, Georgios Ebert, Markus A Michel, Johannes K L Tackmann, Frank J A toolbox for $$q_{T}$$ q T and 0-jettiness subtractions at $$\hbox {N}^3\hbox {LO}$$ N 3 LO |
| title | A toolbox for $$q_{T}$$ q T and 0-jettiness subtractions at $$\hbox {N}^3\hbox {LO}$$ N 3 LO |
| title_full | A toolbox for $$q_{T}$$ q T and 0-jettiness subtractions at $$\hbox {N}^3\hbox {LO}$$ N 3 LO |
| title_fullStr | A toolbox for $$q_{T}$$ q T and 0-jettiness subtractions at $$\hbox {N}^3\hbox {LO}$$ N 3 LO |
| title_full_unstemmed | A toolbox for $$q_{T}$$ q T and 0-jettiness subtractions at $$\hbox {N}^3\hbox {LO}$$ N 3 LO |
| title_short | A toolbox for $$q_{T}$$ q T and 0-jettiness subtractions at $$\hbox {N}^3\hbox {LO}$$ N 3 LO |
| title_sort | toolbox for q t q t and 0 jettiness subtractions at hbox n 3 hbox lo n 3 lo |
| url | https://hdl.handle.net/1721.1/132002 |
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