Toward multi-differential cross sections: measuring two angularities on a single jet
The analytic study of differential cross sections in QCD has typically focused on individual observables, such as mass or thrust, to great success. Here, we present a first study of double differential jet cross sections considering two recoil-free angularities measured on a single jet. By analyzing...
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| Format: | Article |
| Language: | en_US |
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Springer-Verlag
2015
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| Online Access: | http://hdl.handle.net/1721.1/94580 https://orcid.org/0000-0002-3181-4301 https://orcid.org/0000-0002-4819-4081 https://orcid.org/0000-0002-5290-8315 |
| _version_ | 1826212060431646720 |
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| author | Larkoski, Andrew Moult, Ian James Neill, Duff Austin |
| author2 | Massachusetts Institute of Technology. Center for Theoretical Physics |
| author_facet | Massachusetts Institute of Technology. Center for Theoretical Physics Larkoski, Andrew Moult, Ian James Neill, Duff Austin |
| author_sort | Larkoski, Andrew |
| collection | MIT |
| description | The analytic study of differential cross sections in QCD has typically focused on individual observables, such as mass or thrust, to great success. Here, we present a first study of double differential jet cross sections considering two recoil-free angularities measured on a single jet. By analyzing the phase space defined by the two angularities and using methods from soft-collinear effective theory, we prove that the double differential cross section factorizes at the boundaries of the phase space. We also show that the cross section in the bulk of the phase space cannot be factorized using only soft and collinear modes, excluding the possibility of a global factorization theorem in soft-collinear effective theory. Nevertheless, we are able to define a simple interpolation procedure that smoothly connects the factorization theorem at one boundary to the other. We present an explicit example of this at next-to-leading logarithmic accuracy and show that the interpolation is unique up to α[superscript 4][subscript s] order in the exponent of the cross section, under reasonable assumptions. This is evidence that the interpolation is sufficiently robust to account for all logarithms in the bulk of phase space to the accuracy of the boundary factorization theorem. We compare our analytic calculation of the double differential cross section to Monte Carlo simulation and find qualitative agreement. Because our arguments rely on general structures of the phase space, we expect that much of our analysis would be relevant for the study of phenomenologically well-motivated observables, such as N -subjettiness, energy correlation functions, and planar flow. |
| first_indexed | 2024-09-23T15:15:49Z |
| format | Article |
| id | mit-1721.1/94580 |
| institution | Massachusetts Institute of Technology |
| language | en_US |
| last_indexed | 2024-09-23T15:15:49Z |
| publishDate | 2015 |
| publisher | Springer-Verlag |
| record_format | dspace |
| spelling | mit-1721.1/945802022-10-02T01:44:48Z Toward multi-differential cross sections: measuring two angularities on a single jet Larkoski, Andrew Moult, Ian James Neill, Duff Austin Massachusetts Institute of Technology. Center for Theoretical Physics Massachusetts Institute of Technology. Department of Physics Massachusetts Institute of Technology. Laboratory for Nuclear Science Larkoski, Andrew Moult, Ian James Neill, Duff Austin The analytic study of differential cross sections in QCD has typically focused on individual observables, such as mass or thrust, to great success. Here, we present a first study of double differential jet cross sections considering two recoil-free angularities measured on a single jet. By analyzing the phase space defined by the two angularities and using methods from soft-collinear effective theory, we prove that the double differential cross section factorizes at the boundaries of the phase space. We also show that the cross section in the bulk of the phase space cannot be factorized using only soft and collinear modes, excluding the possibility of a global factorization theorem in soft-collinear effective theory. Nevertheless, we are able to define a simple interpolation procedure that smoothly connects the factorization theorem at one boundary to the other. We present an explicit example of this at next-to-leading logarithmic accuracy and show that the interpolation is unique up to α[superscript 4][subscript s] order in the exponent of the cross section, under reasonable assumptions. This is evidence that the interpolation is sufficiently robust to account for all logarithms in the bulk of phase space to the accuracy of the boundary factorization theorem. We compare our analytic calculation of the double differential cross section to Monte Carlo simulation and find qualitative agreement. Because our arguments rely on general structures of the phase space, we expect that much of our analysis would be relevant for the study of phenomenologically well-motivated observables, such as N -subjettiness, energy correlation functions, and planar flow. United States. Dept. of Energy (Cooperative Research Agreement DE-FG02-05ER-41360) United States. Dept. of Energy (Cooperative Research Agreement DE-SC0011090) Natural Sciences and Engineering Research Council of Canada MIT Department of Physics Pappalardo Program 2015-02-18T15:27:14Z 2015-02-18T15:27:14Z 2014-09 2014-07 Article http://purl.org/eprint/type/JournalArticle 1029-8479 1126-6708 http://hdl.handle.net/1721.1/94580 Larkoski, Andrew J., Ian Moult, and Duff Neill. “Toward Multi-Differential Cross Sections: Measuring Two Angularities on a Single Jet.” J. High Energ. Phys. 2014, no. 9 (September 2014). https://orcid.org/0000-0002-3181-4301 https://orcid.org/0000-0002-4819-4081 https://orcid.org/0000-0002-5290-8315 en_US http://dx.doi.org/10.1007/JHEP09(2014)046 Journal of High Energy Physics Creative Commons Attribution http://creativecommons.org/licenses/by/4.0/ application/pdf Springer-Verlag Springer-Verlag |
| spellingShingle | Larkoski, Andrew Moult, Ian James Neill, Duff Austin Toward multi-differential cross sections: measuring two angularities on a single jet |
| title | Toward multi-differential cross sections: measuring two angularities on a single jet |
| title_full | Toward multi-differential cross sections: measuring two angularities on a single jet |
| title_fullStr | Toward multi-differential cross sections: measuring two angularities on a single jet |
| title_full_unstemmed | Toward multi-differential cross sections: measuring two angularities on a single jet |
| title_short | Toward multi-differential cross sections: measuring two angularities on a single jet |
| title_sort | toward multi differential cross sections measuring two angularities on a single jet |
| url | http://hdl.handle.net/1721.1/94580 https://orcid.org/0000-0002-3181-4301 https://orcid.org/0000-0002-4819-4081 https://orcid.org/0000-0002-5290-8315 |
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