# B -> d* l nu and b -> d l nu form-factors in staggered chiral perturbation theory

## Abstract

We calculate the B {yields} D and B {yields} D* form factors at zero recoil in Staggered Chiral Perturbation Theory. We consider heavy-light mesons in which only the light (u, d, or s) quark is staggered; current lattice simulations generally use a highly improved action such as the Fermilab or NRQCD action for the heavy (b or c) quark. We work to lowest order in the heavy quark expansion and to next-to-leading order in the chiral expansion. We present results for a partially quenched theory with three sea quarks in which there are no mass degeneracies (the ''1+1+1'' theory) and for a partially quenched theory in which the u and d sea quark masses are equal (the ''2+1'' theory). We also present results for full (2+1) QCD, along with a numerical estimate of the size of staggered discretization errors. Finally, we calculate the finite volume corrections to the form factors and estimate their numerical size in current lattice simulations.

- Authors:

- Publication Date:

- Research Org.:
- Fermi National Accelerator Lab. (FNAL), Batavia, IL (United States)

- Sponsoring Org.:
- USDOE

- OSTI Identifier:
- 879125

- Report Number(s):
- FERMILAB-PUB-05-534-T

arXiv eprint number hep-lat/0512007; TRN: US0700926

- DOE Contract Number:
- AC02-76CH03000

- Resource Type:
- Journal Article

- Resource Relation:
- Journal Name: Phys.Rev.D73:054501,2006

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; FERMILAB; FORM FACTORS; MESONS; PERTURBATION THEORY; QUANTUM CHROMODYNAMICS; QUARKS; SEAS; Lattice, Phenomenology-HEP

### Citation Formats

```
Laiho, Jack, Van de Water, Ruth S., and /Fermilab.
```*B -> d* l nu and b -> d l nu form-factors in staggered chiral perturbation theory*. United States: N. p., 2005.
Web.

```
Laiho, Jack, Van de Water, Ruth S., & /Fermilab.
```*B -> d* l nu and b -> d l nu form-factors in staggered chiral perturbation theory*. United States.

```
Laiho, Jack, Van de Water, Ruth S., and /Fermilab. Thu .
"B -> d* l nu and b -> d l nu form-factors in staggered chiral perturbation theory". United States.
doi:. https://www.osti.gov/servlets/purl/879125.
```

```
@article{osti_879125,
```

title = {B -> d* l nu and b -> d l nu form-factors in staggered chiral perturbation theory},

author = {Laiho, Jack and Van de Water, Ruth S. and /Fermilab},

abstractNote = {We calculate the B {yields} D and B {yields} D* form factors at zero recoil in Staggered Chiral Perturbation Theory. We consider heavy-light mesons in which only the light (u, d, or s) quark is staggered; current lattice simulations generally use a highly improved action such as the Fermilab or NRQCD action for the heavy (b or c) quark. We work to lowest order in the heavy quark expansion and to next-to-leading order in the chiral expansion. We present results for a partially quenched theory with three sea quarks in which there are no mass degeneracies (the ''1+1+1'' theory) and for a partially quenched theory in which the u and d sea quark masses are equal (the ''2+1'' theory). We also present results for full (2+1) QCD, along with a numerical estimate of the size of staggered discretization errors. Finally, we calculate the finite volume corrections to the form factors and estimate their numerical size in current lattice simulations.},

doi = {},

journal = {Phys.Rev.D73:054501,2006},

number = ,

volume = ,

place = {United States},

year = {Thu Dec 01 00:00:00 EST 2005},

month = {Thu Dec 01 00:00:00 EST 2005}

}