# QCD Factorization for B {r_arrow} {pi} {pi} Decays: Strong Phases and CP Violation in the Heavy Quark Limit

## Abstract

We show that, in the heavy quark limit, the hadronic matrix elements that enter B meson decays into two light mesons can be computed from first principles, including {open_quotes}nonfactorizable{close_quotes} strong interaction corrections, and expressed in terms of form factors and meson light-cone distribution amplitudes. The conventional factorization result follows in the limit when both power corrections in 1/m{sub b} and radiative corrections in {alpha}{sub s} are neglected. We compute the order-{alpha}{sub s} corrections to the decays B{sub d}{r_arrow}{pi}{sup +}{pi}{sup {minus}} , B{sub d}{r_arrow}{pi}{sup 0}{pi}{sup 0} , and B{sup +}{r_arrow}{pi}{sup +}{pi}{sup 0} in the heavy quark limit and briefly discuss the phenomenological implications for the branching ratios, strong phases and {ital CP } violation. {copyright} {ital 1999} {ital The American Physical Society}

- Authors:

- Theory Division, CERN, CH-1211 Geneva 23 (Switzerland)
- Stanford Linear Accelerator Center, Stanford University, Stanford, California 94309 (United States)
- Department of Physics and Astronomy, University of Southampton, Southampton SO17 1BJ (United Kingdom)

- Publication Date:

- OSTI Identifier:
- 686466

- Resource Type:
- Journal Article

- Journal Name:
- Physical Review Letters

- Additional Journal Information:
- Journal Volume: 83; Journal Issue: 10; Other Information: PBD: Sep 1999

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 66 PHYSICS; QUANTUM CHROMODYNAMICS; B MESONS; CP INVARIANCE; PIONS NEUTRAL; PIONS PLUS; PIONS MINUS; MATRIX ELEMENTS; FORM FACTORS; HADRONIC PARTICLE DECAY

### Citation Formats

```
Beneke, M., Buchalla, G., Neubert, M., and Sachrajda, C.T.
```*QCD Factorization for B {r_arrow} {pi} {pi} Decays: Strong Phases and CP Violation in the Heavy Quark Limit*. United States: N. p., 1999.
Web. doi:10.1103/PhysRevLett.83.1914.

```
Beneke, M., Buchalla, G., Neubert, M., & Sachrajda, C.T.
```*QCD Factorization for B {r_arrow} {pi} {pi} Decays: Strong Phases and CP Violation in the Heavy Quark Limit*. United States. doi:10.1103/PhysRevLett.83.1914.

```
Beneke, M., Buchalla, G., Neubert, M., and Sachrajda, C.T. Wed .
"QCD Factorization for B {r_arrow} {pi} {pi} Decays: Strong Phases and CP Violation in the Heavy Quark Limit". United States. doi:10.1103/PhysRevLett.83.1914.
```

```
@article{osti_686466,
```

title = {QCD Factorization for B {r_arrow} {pi} {pi} Decays: Strong Phases and CP Violation in the Heavy Quark Limit},

author = {Beneke, M. and Buchalla, G. and Neubert, M. and Sachrajda, C.T.},

abstractNote = {We show that, in the heavy quark limit, the hadronic matrix elements that enter B meson decays into two light mesons can be computed from first principles, including {open_quotes}nonfactorizable{close_quotes} strong interaction corrections, and expressed in terms of form factors and meson light-cone distribution amplitudes. The conventional factorization result follows in the limit when both power corrections in 1/m{sub b} and radiative corrections in {alpha}{sub s} are neglected. We compute the order-{alpha}{sub s} corrections to the decays B{sub d}{r_arrow}{pi}{sup +}{pi}{sup {minus}} , B{sub d}{r_arrow}{pi}{sup 0}{pi}{sup 0} , and B{sup +}{r_arrow}{pi}{sup +}{pi}{sup 0} in the heavy quark limit and briefly discuss the phenomenological implications for the branching ratios, strong phases and {ital CP } violation. {copyright} {ital 1999} {ital The American Physical Society}},

doi = {10.1103/PhysRevLett.83.1914},

journal = {Physical Review Letters},

number = 10,

volume = 83,

place = {United States},

year = {1999},

month = {9}

}