## Forward Compton scattering with weak neutral current: Constraints from sum rules

## Abstract

We generalize forward real Compton amplitude to the case of the interference of the electromagnetic and weak neutral current, formulate a low-energy theorem, relate the new amplitudes to the interference structure functions and obtain a new set of sum rules. Furthermore, we address a possible new sum rule that relates the product of the axial charge and magnetic moment of the nucleon to the 0th moment of the structure function g5(ν, 0). For the dispersive γ Z-box correction to the proton’s weak charge, the application of the GDH sum rule allows us to reduce the uncertainty due to resonance contributions by a factor of two. Finally, the finite energy sum rule helps addressing the uncertainty in that calculation due to possible duality violations.

- Authors:

- Johannes Gutenberg Univ., Mainz (Germany)
- Univ. of Washington, Seattle, WA (United States); Ohio Univ., Athens, OH (United States); Fermi National Accelerator Lab. (FNAL), Batavia, IL (United States)

- Publication Date:

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

- Sponsoring Org.:
- USDOE Office of Science (SC), High Energy Physics (HEP) (SC-25)

- OSTI Identifier:
- 1244110

- Alternate Identifier(s):
- OSTI ID: 1221235

- Report Number(s):
- FERMILAB-PUB-15-051

Journal ID: ISSN 0370-2693; arXiv eprint number arXiv:1501.05357; TRN: US1600993

- Grant/Contract Number:
- AC02-07CH11359; FG02-93ER-40756

- Resource Type:
- Published Article

- Journal Name:
- Physics Letters. Section B

- Additional Journal Information:
- Journal Volume: 747; Journal ID: ISSN 0370-2693

- Publisher:
- Elsevier

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS

### Citation Formats

```
Gorchtein, Mikhail, and Zhang, Xilin. Forward Compton scattering with weak neutral current: Constraints from sum rules. United States: N. p., 2015.
Web. doi:10.1016/j.physletb.2015.06.009.
```

```
Gorchtein, Mikhail, & Zhang, Xilin. Forward Compton scattering with weak neutral current: Constraints from sum rules. United States. doi:10.1016/j.physletb.2015.06.009.
```

```
Gorchtein, Mikhail, and Zhang, Xilin. Tue .
"Forward Compton scattering with weak neutral current: Constraints from sum rules". United States. doi:10.1016/j.physletb.2015.06.009.
```

```
@article{osti_1244110,
```

title = {Forward Compton scattering with weak neutral current: Constraints from sum rules},

author = {Gorchtein, Mikhail and Zhang, Xilin},

abstractNote = {We generalize forward real Compton amplitude to the case of the interference of the electromagnetic and weak neutral current, formulate a low-energy theorem, relate the new amplitudes to the interference structure functions and obtain a new set of sum rules. Furthermore, we address a possible new sum rule that relates the product of the axial charge and magnetic moment of the nucleon to the 0th moment of the structure function g5(ν, 0). For the dispersive γ Z-box correction to the proton’s weak charge, the application of the GDH sum rule allows us to reduce the uncertainty due to resonance contributions by a factor of two. Finally, the finite energy sum rule helps addressing the uncertainty in that calculation due to possible duality violations.},

doi = {10.1016/j.physletb.2015.06.009},

journal = {Physics Letters. Section B},

number = ,

volume = 747,

place = {United States},

year = {2015},

month = {6}

}

DOI: 10.1016/j.physletb.2015.06.009

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