The MSR mass and the O(Λ[subscript QCD]) renormalon sum rule
We provide a detailed description and analysis of a low-scale short-distance mass scheme, called the MSR mass, that is useful for high-precision top quark mass determinations, but can be applied for any heavy quark Q. In contrast to earlier low-scale short-distance mass schemes, the MSR scheme has a...
| Main Authors: | , , , , , , , |
|---|---|
| Other Authors: | |
| Format: | Article |
| Language: | English |
| Published: |
Springer Berlin Heidelberg
2018
|
| Online Access: | http://hdl.handle.net/1721.1/115160 https://orcid.org/0000-0003-0248-0979 |
| _version_ | 1826201199359033344 |
|---|---|
| author | Hoang, André H Jain, Ambar Lepenik, Christopher Mateu, Vicent Scimemi, Ignazio Stewart, Iain W Hoang, André H. Preisser, Moritz |
| author2 | Massachusetts Institute of Technology. Center for Theoretical Physics |
| author_facet | Massachusetts Institute of Technology. Center for Theoretical Physics Hoang, André H Jain, Ambar Lepenik, Christopher Mateu, Vicent Scimemi, Ignazio Stewart, Iain W Hoang, André H. Preisser, Moritz |
| author_sort | Hoang, André H |
| collection | MIT |
| description | We provide a detailed description and analysis of a low-scale short-distance mass scheme, called the MSR mass, that is useful for high-precision top quark mass determinations, but can be applied for any heavy quark Q. In contrast to earlier low-scale short-distance mass schemes, the MSR scheme has a direct connection to the well known [bar over MS] mass commonly used for high-energy applications, and is determined by heavy quark on-shell self-energy Feynman diagrams. Indeed, the MSR mass scheme can be viewed as the simplest extension of the [bar over MS] mass concept to renormalization scales ≪ m[subscript Q]. The MSR mass depends on a scale R that can be chosen freely, and its renormalization group evolution has a linear dependence on R, which is known as R-evolution. Using R-evolution for the MSR mass we provide details of the derivation of an analytic expression for the normalization of the O(Λ[subscript QCD]) renormalon asymptotic behavior of the pole mass in perturbation theory. This is referred to as the O(Λ[subscript QCD]) renormalon sum rule, and can be applied to any perturbative series. The relations of the MSR mass scheme to other low-scale short-distance masses are analyzed as well. Keywords: Heavy Quark Physics, Perturbative QCD, Quark Masses and SM Parameters, Renormalization Regularization and Renormalons |
| first_indexed | 2024-09-23T11:47:46Z |
| format | Article |
| id | mit-1721.1/115160 |
| institution | Massachusetts Institute of Technology |
| language | English |
| last_indexed | 2024-09-23T11:47:46Z |
| publishDate | 2018 |
| publisher | Springer Berlin Heidelberg |
| record_format | dspace |
| spelling | mit-1721.1/1151602022-09-27T21:59:23Z The MSR mass and the O(Λ[subscript QCD]) renormalon sum rule Hoang, André H Jain, Ambar Lepenik, Christopher Mateu, Vicent Scimemi, Ignazio Stewart, Iain W Hoang, André H. Preisser, Moritz Massachusetts Institute of Technology. Center for Theoretical Physics Massachusetts Institute of Technology. Department of Physics Preisser, Moritz Stewart, Iain W We provide a detailed description and analysis of a low-scale short-distance mass scheme, called the MSR mass, that is useful for high-precision top quark mass determinations, but can be applied for any heavy quark Q. In contrast to earlier low-scale short-distance mass schemes, the MSR scheme has a direct connection to the well known [bar over MS] mass commonly used for high-energy applications, and is determined by heavy quark on-shell self-energy Feynman diagrams. Indeed, the MSR mass scheme can be viewed as the simplest extension of the [bar over MS] mass concept to renormalization scales ≪ m[subscript Q]. The MSR mass depends on a scale R that can be chosen freely, and its renormalization group evolution has a linear dependence on R, which is known as R-evolution. Using R-evolution for the MSR mass we provide details of the derivation of an analytic expression for the normalization of the O(Λ[subscript QCD]) renormalon asymptotic behavior of the pole mass in perturbation theory. This is referred to as the O(Λ[subscript QCD]) renormalon sum rule, and can be applied to any perturbative series. The relations of the MSR mass scheme to other low-scale short-distance masses are analyzed as well. Keywords: Heavy Quark Physics, Perturbative QCD, Quark Masses and SM Parameters, Renormalization Regularization and Renormalons United States. Department of Energy (Grant DE-SC0011090) Simons Foundation (Grant 327942) 2018-05-02T14:55:06Z 2018-05-02T14:55:06Z 2018-04 2018-04-06T04:14:32Z Article http://purl.org/eprint/type/JournalArticle 1029-8479 http://hdl.handle.net/1721.1/115160 Hoang, André H., et al. “The MSR Mass and the O (Λ[subscript QCD] Renormalon Sum Rule.” Journal of High Energy Physics, vol. 2018, no. 4, Apr. 2018. © 2017 Springer International Publishing AG https://orcid.org/0000-0003-0248-0979 en http://dx.doi.org/10.1007/JHEP04(2018)003 Journal of High Energy Physics Creative Commons Attribution http://creativecommons.org/licenses/by/4.0/ The Author(s) application/pdf Springer Berlin Heidelberg Springer Berlin Heidelberg |
| spellingShingle | Hoang, André H Jain, Ambar Lepenik, Christopher Mateu, Vicent Scimemi, Ignazio Stewart, Iain W Hoang, André H. Preisser, Moritz The MSR mass and the O(Λ[subscript QCD]) renormalon sum rule |
| title | The MSR mass and the O(Λ[subscript QCD]) renormalon sum rule |
| title_full | The MSR mass and the O(Λ[subscript QCD]) renormalon sum rule |
| title_fullStr | The MSR mass and the O(Λ[subscript QCD]) renormalon sum rule |
| title_full_unstemmed | The MSR mass and the O(Λ[subscript QCD]) renormalon sum rule |
| title_short | The MSR mass and the O(Λ[subscript QCD]) renormalon sum rule |
| title_sort | msr mass and the o λ subscript qcd renormalon sum rule |
| url | http://hdl.handle.net/1721.1/115160 https://orcid.org/0000-0003-0248-0979 |
| work_keys_str_mv | AT hoangandreh themsrmassandtheolsubscriptqcdrenormalonsumrule AT jainambar themsrmassandtheolsubscriptqcdrenormalonsumrule AT lepenikchristopher themsrmassandtheolsubscriptqcdrenormalonsumrule AT mateuvicent themsrmassandtheolsubscriptqcdrenormalonsumrule AT scimemiignazio themsrmassandtheolsubscriptqcdrenormalonsumrule AT stewartiainw themsrmassandtheolsubscriptqcdrenormalonsumrule AT hoangandreh themsrmassandtheolsubscriptqcdrenormalonsumrule AT preissermoritz themsrmassandtheolsubscriptqcdrenormalonsumrule AT hoangandreh msrmassandtheolsubscriptqcdrenormalonsumrule AT jainambar msrmassandtheolsubscriptqcdrenormalonsumrule AT lepenikchristopher msrmassandtheolsubscriptqcdrenormalonsumrule AT mateuvicent msrmassandtheolsubscriptqcdrenormalonsumrule AT scimemiignazio msrmassandtheolsubscriptqcdrenormalonsumrule AT stewartiainw msrmassandtheolsubscriptqcdrenormalonsumrule AT hoangandreh msrmassandtheolsubscriptqcdrenormalonsumrule AT preissermoritz msrmassandtheolsubscriptqcdrenormalonsumrule |