# Symmetry-preserving contact interaction model for heavy-light mesons

## Abstract

We use a symmetry-preserving regularization method of ultraviolet divergences in a vector-vector contact interaction model for low-energy QCD. The contact interaction is a representation of nonperturbative kernels used Dyson-Schwinger and Bethe-Salpeter equations. The regularization method is based on a subtraction scheme that avoids standard steps in the evaluation of divergent integrals that invariably lead to symmetry violation. Aiming at the study of heavy-light mesons, we have implemented the method to the pseudoscalar π and K mesons. We have solved the Dyson-Schwinger equation for the u, d and s quark propagators, and obtained the bound-state Bethe-Salpeter amplitudes in a way that the Ward-Green-Takahashi identities reflecting global symmetries of the model are satisfied for arbitrary routing of the momenta running in loop integrals.

- Authors:

- Instituto de Física Teórica, Universidade Estadual Paulista (Brazil)
- (Brazil)

- Publication Date:

- OSTI Identifier:
- 22499103

- Resource Type:
- Journal Article

- Resource Relation:
- Journal Name: AIP Conference Proceedings; Journal Volume: 1701; Journal Issue: 1; Conference: 11. conference on quark confinement and hadron spectrum, Saint Petersburg (Russian Federation), 8-12 Sep 2014; Other Information: (c) 2016 AIP Publishing LLC; Country of input: International Atomic Energy Agency (IAEA)

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; BETHE-SALPETER EQUATION; BOUND STATE; EVALUATION; INTERACTIONS; KAONS; KERNELS; PROPAGATOR; QUANTUM CHROMODYNAMICS; ROUTING; S QUARKS; SYMMETRY BREAKING; ULTRAVIOLET DIVERGENCES; VECTORS

### Citation Formats

```
Serna, F. E., Brito, M. A., Krein, G., and Rua Dr. Bento Teobaldo Ferraz, 271 - Bloco II, 01140-070 São Paulo, SP.
```*Symmetry-preserving contact interaction model for heavy-light mesons*. United States: N. p., 2016.
Web. doi:10.1063/1.4938727.

```
Serna, F. E., Brito, M. A., Krein, G., & Rua Dr. Bento Teobaldo Ferraz, 271 - Bloco II, 01140-070 São Paulo, SP.
```*Symmetry-preserving contact interaction model for heavy-light mesons*. United States. doi:10.1063/1.4938727.

```
Serna, F. E., Brito, M. A., Krein, G., and Rua Dr. Bento Teobaldo Ferraz, 271 - Bloco II, 01140-070 São Paulo, SP. Fri .
"Symmetry-preserving contact interaction model for heavy-light mesons". United States. doi:10.1063/1.4938727.
```

```
@article{osti_22499103,
```

title = {Symmetry-preserving contact interaction model for heavy-light mesons},

author = {Serna, F. E. and Brito, M. A. and Krein, G. and Rua Dr. Bento Teobaldo Ferraz, 271 - Bloco II, 01140-070 São Paulo, SP},

abstractNote = {We use a symmetry-preserving regularization method of ultraviolet divergences in a vector-vector contact interaction model for low-energy QCD. The contact interaction is a representation of nonperturbative kernels used Dyson-Schwinger and Bethe-Salpeter equations. The regularization method is based on a subtraction scheme that avoids standard steps in the evaluation of divergent integrals that invariably lead to symmetry violation. Aiming at the study of heavy-light mesons, we have implemented the method to the pseudoscalar π and K mesons. We have solved the Dyson-Schwinger equation for the u, d and s quark propagators, and obtained the bound-state Bethe-Salpeter amplitudes in a way that the Ward-Green-Takahashi identities reflecting global symmetries of the model are satisfied for arbitrary routing of the momenta running in loop integrals.},

doi = {10.1063/1.4938727},

journal = {AIP Conference Proceedings},

number = 1,

volume = 1701,

place = {United States},

year = {Fri Jan 22 00:00:00 EST 2016},

month = {Fri Jan 22 00:00:00 EST 2016}

}