Thrust at N3LL with power corrections and a precision global fit for αs(mZ)
We give a factorization formula for the e[superscript +]e[superscript -] thrust distribution dσ/dτ with τ=1-T based on the soft-collinear effective theory. The result is applicable for all τ, i.e. in the peak, tail, and far-tail regions. The formula includes O(α[subscript s][superscript 3]) fixed-or...
| Main Authors: | , , , , |
|---|---|
| Other Authors: | |
| Format: | Article |
| Language: | en_US |
| Published: |
American Physical Society
2011
|
| Online Access: | http://hdl.handle.net/1721.1/67291 https://orcid.org/0000-0003-0248-0979 |
| _version_ | 1826211957240233984 |
|---|---|
| author | Abbate, Riccardo Fickinger, Michael Hoang, Andre H. Mateu Barreda, Vicent Stewart, Iain |
| author2 | Massachusetts Institute of Technology. Center for Theoretical Physics |
| author_facet | Massachusetts Institute of Technology. Center for Theoretical Physics Abbate, Riccardo Fickinger, Michael Hoang, Andre H. Mateu Barreda, Vicent Stewart, Iain |
| author_sort | Abbate, Riccardo |
| collection | MIT |
| description | We give a factorization formula for the e[superscript +]e[superscript -] thrust distribution dσ/dτ with τ=1-T based on the soft-collinear effective theory. The result is applicable for all τ, i.e. in the peak, tail, and far-tail regions. The formula includes O(α[subscript s][superscript 3]) fixed-order QCD results, resummation of singular partonic α[subscript s][superscript j]ln[superscript k](τ)/τ terms with N[superscript 3]LL accuracy, hadronization effects from fitting a universal nonperturbative soft function defined with field theory, bottom quark mass effects, QED corrections, and the dominant top mass dependent terms from the axial anomaly. We do not rely on Monte Carlo generators to determine nonperturbative effects since they are not compatible with higher order perturbative analyses. Instead our treatment is based on fitting nonperturbative matrix elements in field theory, which are moments Ω[subscript i] of a nonperturbative soft function. We present a global analysis of all available thrust data measured at center-of-mass energies Q=35–207 GeV in the tail region, where a two-parameter fit to α[subscript s](m[subscript Z]) and the first moment Ω[subscript 1] suffices. We use a short-distance scheme to define Ω1, called the R-gap scheme, thus ensuring that the perturbative dσ/dτ does not suffer from an O(Λ[subscript QCD]) renormalon ambiguity. We find α[subscript s](m[subscript Z])=0.1135±(0.0002)[subscript expt]±(0.0005)[subscript hadr]±(0.0009)[subscript pert], with χ2/dof=0.91, where the displayed 1-sigma errors are the total experimental error, the hadronization uncertainty, and the perturbative theory uncertainty, respectively. The hadronization uncertainty in αs is significantly decreased compared to earlier analyses by our two-parameter fit, which determines Ω[subscript 1]=0.323 GeV with 16% uncertainty. |
| first_indexed | 2024-09-23T15:14:05Z |
| format | Article |
| id | mit-1721.1/67291 |
| institution | Massachusetts Institute of Technology |
| language | en_US |
| last_indexed | 2024-09-23T15:14:05Z |
| publishDate | 2011 |
| publisher | American Physical Society |
| record_format | dspace |
| spelling | mit-1721.1/672912022-10-02T01:31:58Z Thrust at N3LL with power corrections and a precision global fit for αs(mZ) Abbate, Riccardo Fickinger, Michael Hoang, Andre H. Mateu Barreda, Vicent Stewart, Iain Massachusetts Institute of Technology. Center for Theoretical Physics Massachusetts Institute of Technology. Department of Physics Stewart, Iain Abbate, Riccardo Stewart, Iain We give a factorization formula for the e[superscript +]e[superscript -] thrust distribution dσ/dτ with τ=1-T based on the soft-collinear effective theory. The result is applicable for all τ, i.e. in the peak, tail, and far-tail regions. The formula includes O(α[subscript s][superscript 3]) fixed-order QCD results, resummation of singular partonic α[subscript s][superscript j]ln[superscript k](τ)/τ terms with N[superscript 3]LL accuracy, hadronization effects from fitting a universal nonperturbative soft function defined with field theory, bottom quark mass effects, QED corrections, and the dominant top mass dependent terms from the axial anomaly. We do not rely on Monte Carlo generators to determine nonperturbative effects since they are not compatible with higher order perturbative analyses. Instead our treatment is based on fitting nonperturbative matrix elements in field theory, which are moments Ω[subscript i] of a nonperturbative soft function. We present a global analysis of all available thrust data measured at center-of-mass energies Q=35–207 GeV in the tail region, where a two-parameter fit to α[subscript s](m[subscript Z]) and the first moment Ω[subscript 1] suffices. We use a short-distance scheme to define Ω1, called the R-gap scheme, thus ensuring that the perturbative dσ/dτ does not suffer from an O(Λ[subscript QCD]) renormalon ambiguity. We find α[subscript s](m[subscript Z])=0.1135±(0.0002)[subscript expt]±(0.0005)[subscript hadr]±(0.0009)[subscript pert], with χ2/dof=0.91, where the displayed 1-sigma errors are the total experimental error, the hadronization uncertainty, and the perturbative theory uncertainty, respectively. The hadronization uncertainty in αs is significantly decreased compared to earlier analyses by our two-parameter fit, which determines Ω[subscript 1]=0.323 GeV with 16% uncertainty. United States. Dept. of Energy (Director, Office of Science, Office of Nuclear Physics grant DE-FG02-94ER40818) United States. Dept. of Energy (Director, Office of Science, Office of Nuclear Physics grant DE-FG02-06ER41449) Marie Curie Research Training Networks (Contract MRTN-CT-2006-035482 (FLAVIAnet)) Marie Curie Research Training Networks (Contract MRTN-CT-2006-035505 (HEPTOOLS)) 2011-11-28T14:59:07Z 2011-11-28T14:59:07Z 2011-04 2010-08 Article http://purl.org/eprint/type/JournalArticle 1550-7998 1550-2368 http://hdl.handle.net/1721.1/67291 Abbate, Riccardo et al. “Thrust at N^{3}LL with Power Corrections and a Precision Global Fit for α_{s}(m_{Z}).” Physical Review D 83.7 (2011) © 2011 American Physical Society https://orcid.org/0000-0003-0248-0979 en_US http://dx.doi.org/10.1103/PhysRevD.83.074021 Physical Review D Article is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use. application/pdf American Physical Society APS |
| spellingShingle | Abbate, Riccardo Fickinger, Michael Hoang, Andre H. Mateu Barreda, Vicent Stewart, Iain Thrust at N3LL with power corrections and a precision global fit for αs(mZ) |
| title | Thrust at N3LL with power corrections and a precision global fit for αs(mZ) |
| title_full | Thrust at N3LL with power corrections and a precision global fit for αs(mZ) |
| title_fullStr | Thrust at N3LL with power corrections and a precision global fit for αs(mZ) |
| title_full_unstemmed | Thrust at N3LL with power corrections and a precision global fit for αs(mZ) |
| title_short | Thrust at N3LL with power corrections and a precision global fit for αs(mZ) |
| title_sort | thrust at n3ll with power corrections and a precision global fit for αs mz |
| url | http://hdl.handle.net/1721.1/67291 https://orcid.org/0000-0003-0248-0979 |
| work_keys_str_mv | AT abbatericcardo thrustatn3llwithpowercorrectionsandaprecisionglobalfitforasmz AT fickingermichael thrustatn3llwithpowercorrectionsandaprecisionglobalfitforasmz AT hoangandreh thrustatn3llwithpowercorrectionsandaprecisionglobalfitforasmz AT mateubarredavicent thrustatn3llwithpowercorrectionsandaprecisionglobalfitforasmz AT stewartiain thrustatn3llwithpowercorrectionsandaprecisionglobalfitforasmz |