nLab Yukawa coupling

Idea

In the standard model of particle physics, the Yukawa couplings encode the interaction between the fundamental fermion fields and the Higgs field, and thus, via the Higgs mechanism, the masses of the fermion field after electroweak symmetry breaking.

In string phenomenology

In intersecting D-brane models Yukawa couplings are encoded by worldsheet instantons of open strings stretching between the intersecting D-branes (see Marchesano 03, Section 7.5). Mathematically this is encoded by derived hom-spaces in a Fukaya category (see Marchesano 03, Section 7.5).

table grabbed from Marchesano 03

Related concepts

• coupling constant

• minimal coupling

• standard model of particle physics

• spinors in Yang-Mills theory

References

General

See also

• Wikipedia, Yukawa interactions

In string theory

On computation of Yukawa couplings in heterotic string theory:

• Stefan Blesneag, Evgeny Buchbinder, Andrei Constantin, Andre Lukas, Eran Palti, Matter Field Kähler Metric in Heterotic String Theory from Localisation (arXiv:1801.09645)

• Giorgi Butbaia, Damián Mayorga Peña, Justin Tan, Per Berglund, Tristan Hübsch, Vishnu Jejjala, Challenger Mishra, Physical Yukawa Couplings in Heterotic String Compactifications [arXiv:2401.15078]

• Andrei Constantin, Cristofero S. Fraser-Taliente, Thomas R. Harvey, Andre Lukas, Burt Ovrut, Computation of Quark Masses from String Theory [arXiv:2402.01615]

and in intersecting D-brane models of type II string theory via Fukaya categories:

• D. Cremades, Luis Ibáñez, Fernando Marchesano, Yukawa couplings in intersecting D-brane models, JHEP 0307 (2003) 038 (arXiv:hep-th/0302105)

• Fernando Marchesano, section 7 of Intersecting D-brane Models (arXiv:hep-th/0307252)

Realistic Yukawa couplings and fermion masses in an MSSM Pati-Salam GUT model with 3 generations of fermions realized on intersecting D6-branes KK-compactified on a toroidal orbifold $T^6\sslash (\mathbb{Z}_2 \times \mathbb{Z}_2)$ are claimed in

• Ching-Ming Chen, Tianjun Li, Van Eric Mayes, Dimitri Nanopoulos, A Realistic World from Intersecting D6-Branes, Phys.Lett.B665:267-270, 2008 (arXiv:hep-th/0703280, doi:10.1016/j.physletb.2008.06.024)

• Ching-Ming Chen, Tianjun Li, Van Eric Mayes, Dimitri Nanopoulos, Realistic Yukawa Textures and SUSY Spectra from Intersecting Branes, Phys. Rev. D77:125023, 2008 (arXiv:0711.0396)

• Van Eric Mayes, All Fermion Masses and Mixings in an Intersecting D-brane World (arXiv:1902.00983)

• Jordan Gemmill, Evan Howington, Van E. Mayes, One String to Rule Them All: Neutrino Masses and Mixing Angles (arXiv:1907.07106)

• Tianjun Li, Adeel Mansha, Rui Sun, Revisiting the Supersymmetric Pati-Salam Models from Intersecting D6-branes (arXiv:1910.04530)

See also:

• Per Berglund, Giorgi Butbaia, Tristan Hübsch, Vishnu Jejjala, Damián Mayorga Peña, Challenger Mishra, Justin Tan: Precision String Phenomenology [arXiv:2407.13836]