Reaching the Planck scale with muon lifetime measurements
Autor(a) principal: | |
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Data de Publicação: | 2021 |
Outros Autores: | |
Tipo de documento: | Artigo |
Idioma: | eng |
Título da fonte: | Repositório Institucional da UFLA |
Texto Completo: | http://repositorio.ufla.br/jspui/handle/1/50173 |
Resumo: | Planck scale modified dispersion relations are one way to capture the influence of quantum gravity on the propagation of fundamental point particles effectively. We derive the time dilation between an observer’s or particle’s proper time, given by a Finslerian length measure induced from a modified dispersion relation, and a reference laboratory time. To do so, the Finsler length measure for general first order perturbations of the general relativistic dispersion relation is constructed explicitly. From this we then derive the time dilation formula for the κ -Poincaré dispersion relation in several momentum space bases, as well as for modified dispersion relations considered in the context of string theory and loop quantum gravity. Most interestingly we find that the momentum Lorentz factor in the present and future colliders can, in principle, become large enough to constrain the Finsler realization of the κ -Poincaré dispersion relation in the bicrossproduct basis as well as a string theory inspired modified dispersion relation, at Planck scale sensitivity with the help of the muon’s lifetime. |
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Reaching the Planck scale with muon lifetime measurementsAlternative gravity theoriesGravitationQuantum gravityEscala de PlanckMúon - Vida médiaFísica quânticaPlanck scale modified dispersion relations are one way to capture the influence of quantum gravity on the propagation of fundamental point particles effectively. We derive the time dilation between an observer’s or particle’s proper time, given by a Finslerian length measure induced from a modified dispersion relation, and a reference laboratory time. To do so, the Finsler length measure for general first order perturbations of the general relativistic dispersion relation is constructed explicitly. From this we then derive the time dilation formula for the κ -Poincaré dispersion relation in several momentum space bases, as well as for modified dispersion relations considered in the context of string theory and loop quantum gravity. Most interestingly we find that the momentum Lorentz factor in the present and future colliders can, in principle, become large enough to constrain the Finsler realization of the κ -Poincaré dispersion relation in the bicrossproduct basis as well as a string theory inspired modified dispersion relation, at Planck scale sensitivity with the help of the muon’s lifetime.American Physical Society2022-06-09T22:24:52Z2022-06-09T22:24:52Z2021-05info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfLOBO, I. P.; PFEIFER, C. Reaching the Planck scale with muon lifetime measurements. Physical Review D, [S.I.], v. 103, 106025, 2021. DOI: 10.1103/PhysRevD.103.106025.http://repositorio.ufla.br/jspui/handle/1/50173Physical Review Dreponame:Repositório Institucional da UFLAinstname:Universidade Federal de Lavras (UFLA)instacron:UFLAhttp://creativecommons.org/licenses/by/4.0/info:eu-repo/semantics/openAccessLobo, Iarley P.Pfeifer, Christianeng2023-05-09T17:35:53Zoai:localhost:1/50173Repositório InstitucionalPUBhttp://repositorio.ufla.br/oai/requestnivaldo@ufla.br || repositorio.biblioteca@ufla.bropendoar:2023-05-09T17:35:53Repositório Institucional da UFLA - Universidade Federal de Lavras (UFLA)false |
dc.title.none.fl_str_mv |
Reaching the Planck scale with muon lifetime measurements |
title |
Reaching the Planck scale with muon lifetime measurements |
spellingShingle |
Reaching the Planck scale with muon lifetime measurements Lobo, Iarley P. Alternative gravity theories Gravitation Quantum gravity Escala de Planck Múon - Vida média Física quântica |
title_short |
Reaching the Planck scale with muon lifetime measurements |
title_full |
Reaching the Planck scale with muon lifetime measurements |
title_fullStr |
Reaching the Planck scale with muon lifetime measurements |
title_full_unstemmed |
Reaching the Planck scale with muon lifetime measurements |
title_sort |
Reaching the Planck scale with muon lifetime measurements |
author |
Lobo, Iarley P. |
author_facet |
Lobo, Iarley P. Pfeifer, Christian |
author_role |
author |
author2 |
Pfeifer, Christian |
author2_role |
author |
dc.contributor.author.fl_str_mv |
Lobo, Iarley P. Pfeifer, Christian |
dc.subject.por.fl_str_mv |
Alternative gravity theories Gravitation Quantum gravity Escala de Planck Múon - Vida média Física quântica |
topic |
Alternative gravity theories Gravitation Quantum gravity Escala de Planck Múon - Vida média Física quântica |
description |
Planck scale modified dispersion relations are one way to capture the influence of quantum gravity on the propagation of fundamental point particles effectively. We derive the time dilation between an observer’s or particle’s proper time, given by a Finslerian length measure induced from a modified dispersion relation, and a reference laboratory time. To do so, the Finsler length measure for general first order perturbations of the general relativistic dispersion relation is constructed explicitly. From this we then derive the time dilation formula for the κ -Poincaré dispersion relation in several momentum space bases, as well as for modified dispersion relations considered in the context of string theory and loop quantum gravity. Most interestingly we find that the momentum Lorentz factor in the present and future colliders can, in principle, become large enough to constrain the Finsler realization of the κ -Poincaré dispersion relation in the bicrossproduct basis as well as a string theory inspired modified dispersion relation, at Planck scale sensitivity with the help of the muon’s lifetime. |
publishDate |
2021 |
dc.date.none.fl_str_mv |
2021-05 2022-06-09T22:24:52Z 2022-06-09T22:24:52Z |
dc.type.status.fl_str_mv |
info:eu-repo/semantics/publishedVersion |
dc.type.driver.fl_str_mv |
info:eu-repo/semantics/article |
format |
article |
status_str |
publishedVersion |
dc.identifier.uri.fl_str_mv |
LOBO, I. P.; PFEIFER, C. Reaching the Planck scale with muon lifetime measurements. Physical Review D, [S.I.], v. 103, 106025, 2021. DOI: 10.1103/PhysRevD.103.106025. http://repositorio.ufla.br/jspui/handle/1/50173 |
identifier_str_mv |
LOBO, I. P.; PFEIFER, C. Reaching the Planck scale with muon lifetime measurements. Physical Review D, [S.I.], v. 103, 106025, 2021. DOI: 10.1103/PhysRevD.103.106025. |
url |
http://repositorio.ufla.br/jspui/handle/1/50173 |
dc.language.iso.fl_str_mv |
eng |
language |
eng |
dc.rights.driver.fl_str_mv |
http://creativecommons.org/licenses/by/4.0/ info:eu-repo/semantics/openAccess |
rights_invalid_str_mv |
http://creativecommons.org/licenses/by/4.0/ |
eu_rights_str_mv |
openAccess |
dc.format.none.fl_str_mv |
application/pdf |
dc.publisher.none.fl_str_mv |
American Physical Society |
publisher.none.fl_str_mv |
American Physical Society |
dc.source.none.fl_str_mv |
Physical Review D reponame:Repositório Institucional da UFLA instname:Universidade Federal de Lavras (UFLA) instacron:UFLA |
instname_str |
Universidade Federal de Lavras (UFLA) |
instacron_str |
UFLA |
institution |
UFLA |
reponame_str |
Repositório Institucional da UFLA |
collection |
Repositório Institucional da UFLA |
repository.name.fl_str_mv |
Repositório Institucional da UFLA - Universidade Federal de Lavras (UFLA) |
repository.mail.fl_str_mv |
nivaldo@ufla.br || repositorio.biblioteca@ufla.br |
_version_ |
1807835207117570048 |