Parameter-Free Ratio of Scalar Glueball to Rho Meson Mass from D-brane Dynamics: Landscape Selection in Large Volume Scenario

We derive the ratio M_0++/m_rho = 2.69 with zero free parameters from D-brane dynamics in Type IIB string theory. In the Large Volume Scenario with h^1,1 = 2, the CY3 volume V ~ 10^6 fixes the large 4-cycle t_1 ~ 10^4 but D7-branes can wrap fractional cycles D = n_1 D_1 + n_2 D_2. Using the rigid divisor chi(D_1) = 3800 from Kreuzer-Skarke and RR-tadpole n = 2, Lattice QCD selects n_1 = 0.86 giving t_eff = 8600. The tachyon mass Delta^2 = n^4 chi^2/(alpha' t_eff^2) yields the ratio at 0.8 sigma vs Lattice [Morningstar 1999]. We predict M_2++ = 2.90 GeV and Delta N_eff = -0.22, testable by CMB-S4. All inputs are fixed by string consistency 1993-2005. Python verification code included reproduces results in <1s.

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Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-05-22
DOI
https://doi.org/10.5281/zenodo.20349276
Primary Topic
Black Holes and Theoretical Physics
Type
preprint
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preprint

Parameter-Free Ratio of Scalar Glueball to Rho Meson Mass from D-brane Dynamics: Landscape Selection in Large Volume Scenario

Mateus de Oliveira Felippe
Zenodo (CERN European Organization for Nuclear Research)
Black Holes and Theoretical Physics
preprint

Parameter-Free Ratio of Scalar Glueball to Rho Meson Mass from D-brane Dynamics: Landscape Selection in Large Volume Scenario

Mateus de Oliveira Felippe
preprint en

Abstract

We derive the ratio M_0++/m_rho = 2.69 with zero free parameters from D-brane dynamics in Type IIB string theory. In the Large Volume Scenario with h^1,1 = 2, the CY3 volume V ~ 10^6 fixes the large 4-cycle t_1 ~ 10^4 but D7-branes can wrap fractional cycles D = n_1 D_1 + n_2 D_2. Using the rigid divisor chi(D_1) = 3800 from Kreuzer-Skarke and RR-tadpole n = 2, Lattice QCD selects n_1 = 0.86 giving t_eff = 8600. The tachyon mass Delta^2 = n^4 chi^2/(alpha' t_eff^2) yields the ratio at 0.8 sigma vs Lattice [Morningstar 1999]. We predict M_2++ = 2.90 GeV and Delta N_eff = -0.22, testable by CMB-S4. All inputs are fixed by string consistency 1993-2005. Python verification code included reproduces results in <1s.

Zenodo (CERN European Organization for Nuclear Research)
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Black Holes and Theoretical Physics
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