On small Dirac neutrino masses in string theory

Abstract We study how tiny Dirac neutrino masses consistent with experimental constraints can arise in string theory SM-like vacua. We use as a laboratory 4d N $$ \mathcal{N} $$ = 1 type IIA Calabi-Yau orientifold compactifications, and in particular recent results on Yukawa couplings at infinite fi...

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Main Authors: Gonzalo F. Casas, Luis E. Ibáñez, Fernando Marchesano
Format: Article
Language:English
Published: SpringerOpen 2025-01-01
Series:Journal of High Energy Physics
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Online Access:https://doi.org/10.1007/JHEP01(2025)083
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author Gonzalo F. Casas
Luis E. Ibáñez
Fernando Marchesano
author_facet Gonzalo F. Casas
Luis E. Ibáñez
Fernando Marchesano
author_sort Gonzalo F. Casas
collection DOAJ
description Abstract We study how tiny Dirac neutrino masses consistent with experimental constraints can arise in string theory SM-like vacua. We use as a laboratory 4d N $$ \mathcal{N} $$ = 1 type IIA Calabi-Yau orientifold compactifications, and in particular recent results on Yukawa couplings at infinite field-space distance. In this regime we find Dirac neutrino masses of the form m ν ≃ g ν ⟨H⟩, with g ν the gauge coupling of the massive U(1) under which the right-handed neutrinos ν R are charged, and which should be in the range g ν ≃ 10 −14 − 10 −12 to reproduce neutrino data. The neutrino mass suppression occurs because the right-handed neutrino kinetic term behaves as K νν ≃ 1/ g ν 2 $$ {g}_{\nu}^2 $$ . At the same time a tower of ν R -like states appears with characteristic scale m 0 ≃ g ν 2 M P $$ {g}_{\nu}^2{M}_{\textrm{P}} $$ ≃ 0.1 − 500 eV, in agreement with Swampland expectations. Two large hidden dimensions only felt by the ν R sector arise at the same scale, while the string scale is around M s ≃ g ν M P ≃ 10 − 700 TeV. Some phenomenological implications and model building challenges are described. We also describe the difficulties in obtaining appropriate tiny neutrino Yukawas in the cases of a single or more than two large dimensions. Thus the case with two large dimensions seems to be quite unique.
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issn 1029-8479
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spelling doaj-art-95080539e0d9452db69152a9ff50d4642025-02-09T12:07:26ZengSpringerOpenJournal of High Energy Physics1029-84792025-01-012025113810.1007/JHEP01(2025)083On small Dirac neutrino masses in string theoryGonzalo F. Casas0Luis E. Ibáñez1Fernando Marchesano2Instituto de Física Teórica UAM-CSICDepartamento de Física Teórica, Universidad Autónoma de MadridDepartamento de Física Teórica, Universidad Autónoma de MadridAbstract We study how tiny Dirac neutrino masses consistent with experimental constraints can arise in string theory SM-like vacua. We use as a laboratory 4d N $$ \mathcal{N} $$ = 1 type IIA Calabi-Yau orientifold compactifications, and in particular recent results on Yukawa couplings at infinite field-space distance. In this regime we find Dirac neutrino masses of the form m ν ≃ g ν ⟨H⟩, with g ν the gauge coupling of the massive U(1) under which the right-handed neutrinos ν R are charged, and which should be in the range g ν ≃ 10 −14 − 10 −12 to reproduce neutrino data. The neutrino mass suppression occurs because the right-handed neutrino kinetic term behaves as K νν ≃ 1/ g ν 2 $$ {g}_{\nu}^2 $$ . At the same time a tower of ν R -like states appears with characteristic scale m 0 ≃ g ν 2 M P $$ {g}_{\nu}^2{M}_{\textrm{P}} $$ ≃ 0.1 − 500 eV, in agreement with Swampland expectations. Two large hidden dimensions only felt by the ν R sector arise at the same scale, while the string scale is around M s ≃ g ν M P ≃ 10 − 700 TeV. Some phenomenological implications and model building challenges are described. We also describe the difficulties in obtaining appropriate tiny neutrino Yukawas in the cases of a single or more than two large dimensions. Thus the case with two large dimensions seems to be quite unique.https://doi.org/10.1007/JHEP01(2025)083D-BranesString and Brane PhenomenologyLarge Extra DimensionsTheories of Flavour
spellingShingle Gonzalo F. Casas
Luis E. Ibáñez
Fernando Marchesano
On small Dirac neutrino masses in string theory
Journal of High Energy Physics
D-Branes
String and Brane Phenomenology
Large Extra Dimensions
Theories of Flavour
title On small Dirac neutrino masses in string theory
title_full On small Dirac neutrino masses in string theory
title_fullStr On small Dirac neutrino masses in string theory
title_full_unstemmed On small Dirac neutrino masses in string theory
title_short On small Dirac neutrino masses in string theory
title_sort on small dirac neutrino masses in string theory
topic D-Branes
String and Brane Phenomenology
Large Extra Dimensions
Theories of Flavour
url https://doi.org/10.1007/JHEP01(2025)083
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