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

Gorchtein, Mikhail; Zhang, Xilin

doi:10.1016/j.physletb.2015.06.009

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

Journal Article · Wed Jul 01 00:00:00 EDT 2015 · Physics Letters B

DOI:https://doi.org/10.1016/j.physletb.2015.06.009· OSTI ID:1244110

Gorchtein, Mikhail; Zhang, Xilin

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.

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Research Organization:: Fermi National Accelerator Laboratory (FNAL), Batavia, IL (United States)

Sponsoring Organization:: USDOE Office of Science (SC), High Energy Physics (HEP)

Grant/Contract Number:: FG02-93ER-40756; SFB 1044; AC02-07CH11359

OSTI ID:: 1244110

Alternate ID(s):: OSTI ID: 1221235

Report Number(s):: FERMILAB-PUB-15-051; S0370269315004311; PII: S0370269315004311

Journal Information:: Physics Letters B, Journal Name: Physics Letters B Vol. 747 Journal Issue: C; ISSN 0370-2693

Publisher:: ElsevierCopyright Statement

Country of Publication:: Netherlands

Language:: English

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Cited by: 6 works

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References (46)

$γ Z$ corrections to forward-angle parity-violating $e p$ scattering Sibirtsev, A.; Blunden, P. G.; Melnitchouk, W. Physical Review D, Vol. 82, Issue 1 https://doi.org/10.1103/PhysRevD.82.013011	journal	July 2010
The Drell–Hearn sum rule at order α3 Dicus, Duane A.; Vega, Roberto Physics Letters B, Vol. 501, Issue 1-2 https://doi.org/10.1016/S0370-2693(01)00112-5	journal	March 2001
Extraction of spin-dependent parton densities and their uncertainties de Florian, Daniel; Sassot, Rodolfo; Stratmann, Marco Physical Review D, Vol. 80, Issue 3 https://doi.org/10.1103/PhysRevD.80.034030	journal	August 2009
Compton scattering from nuclei and photo-absorption sum rules Gorchtein, Mikhail; Hobbs, Timothy; Londergan, J. Timothy Physical Review C, Vol. 84, Issue 6 https://doi.org/10.1103/PhysRevC.84.065202	journal	December 2011
Unitary isobar model --MAID2007 Drechsel, D.; Kamalov, S. S.; Tiator, L. The European Physical Journal A, Vol. 34, Issue 1 https://doi.org/10.1140/epja/i2007-10490-6	journal	October 2007
A dispersion theory of symmetry breaking Fubini, S.; Furlan, G.; Rossetti, C. Il Nuovo Cimento A, Vol. 40, Issue 4 https://doi.org/10.1007/BF02824674	journal	December 1965
Scattering of Low-Energy Photons by Particles of Spin ½ Gell-Mann, M.; Goldberger, M. L. Physical Review, Vol. 96, Issue 5 https://doi.org/10.1103/PhysRev.96.1433	journal	December 1954
Helicity Dependence of $γ p \to N π$ below 450 MeV and Contribution to the Gerasimov-Drell-Hearn Sum Rule Ahrens, J.; Altieri, S.; Annand, J. R. M. Physical Review Letters, Vol. 84, Issue 26 https://doi.org/10.1103/PhysRevLett.84.5950	journal	June 2000
Neutrinoproduction of photons and pions from nucleons in a chiral effective field theory for nuclei Serot, Brian D.; Zhang, Xilin Physical Review C, Vol. 86, Issue 1 https://doi.org/10.1103/PhysRevC.86.015501	journal	July 2012
Model dependence of the $γ Z$ dispersion correction to the parity-violating asymmetry in elastic $e p$ scattering Gorchtein, Mikhail; Horowitz, C. J.; Ramsey-Musolf, Michael J. Physical Review C, Vol. 84, Issue 1 https://doi.org/10.1103/PhysRevC.84.015502	journal	July 2011
Constrained $γ Z$ interference corrections to parity-violating electron scattering Hall, N. L.; Blunden, P. G.; Melnitchouk, W. Physical Review D, Vol. 88, Issue 1 https://doi.org/10.1103/PhysRevD.88.013011	journal	July 2013
Review of Particle Physics Olive, K. A. Chinese Physics C, Vol. 38, Issue 9 https://doi.org/10.1088/1674-1137/38/9/090001	journal	August 2014
Single photon events from neutral current interactions at MiniBooNE Wang, En; Alvarez-Ruso, Luis; Nieves, Juan Physics Letters B, Vol. 740 https://doi.org/10.1016/j.physletb.2014.11.025	journal	January 2015
Superconvergence relations and parity violating analog of Gerasimov-Drell-Hearn sum rule Kurek, Krzysztof; Lukaszuk, Leszek Physical Review C, Vol. 70, Issue 6 https://doi.org/10.1103/PhysRevC.70.065204	journal	December 2004
Low-energy Compton scattering and the polarizabilities of the proton Olmos de León, V.; Wissmann, F.; Achenbach, P. The European Physical Journal A, Vol. 10, Issue 2 https://doi.org/10.1007/s100500170132	journal	April 2001
�ber die Gesamtst�rke der von einem Zustande ausgehenden Absorptionslinien Kuhn, W. Zeitschrift f�r Physik, Vol. 33, Issue 1 https://doi.org/10.1007/BF01328322	journal	December 1925
First Measurement of the Gerasimov-Drell-Hearn Sum Rule for ${}^{1}H$ from 0.7 to 1.8 GeV at ELSA Dutz, H.; Helbing, K.; Krimmer, J. Physical Review Letters, Vol. 91, Issue 19 https://doi.org/10.1103/PhysRevLett.91.192001	journal	November 2003
Empirical fit to precision inclusive electron-proton cross sections in the resonance region Christy, M. E.; Bosted, P. E. Physical Review C, Vol. 81, Issue 5 https://doi.org/10.1103/PhysRevC.81.055213	journal	May 2010
Small x: two pomerons! Donnachie, A.; Landshoff, P. V. Physics Letters B, Vol. 437, Issue 3-4 https://doi.org/10.1016/S0370-2693(98)00899-5	journal	October 1998
Parity violation in $γ \vec{p}$ Compton scattering Bedaque, Paulo F.; Savage, Martin J. Physical Review C, Vol. 62, Issue 1 https://doi.org/10.1103/PhysRevC.62.018501	journal	June 2000
Can neutrino-induced photon production explain the low energy excess in MiniBooNE? Zhang, Xilin; Serot, Brian D. Physics Letters B, Vol. 719, Issue 4-5 https://doi.org/10.1016/j.physletb.2013.01.057	journal	February 2013
Standard model gauging of the Wess-Zumino-Witten term: Anomalies, global currents, and pseudo-Chern-Simons interactions Harvey, Jeffrey A.; Hill, Christopher T.; Hill, Richard J. Physical Review D, Vol. 77, Issue 8 https://doi.org/10.1103/PhysRevD.77.085017	journal	April 2008
Sum rules for parity violating Compton amplitudes Łukaszuk, Leszek Nuclear Physics A, Vol. 709, Issue 1-4 https://doi.org/10.1016/S0375-9474(02)01016-3	journal	October 2002
First Measurement of the Gerasimov-Drell-Hearn Integral for ${}^{1}H$ from 200 to 800 MeV Ahrens, J.; Altieri, S.; Annand, J. R. M. Physical Review Letters, Vol. 87, Issue 2 https://doi.org/10.1103/PhysRevLett.87.022003	journal	June 2001
Anomaly Mediated Neutrino-Photon Interactions at Finite Baryon Density Harvey, Jeffrey A.; Hill, Christopher T.; Hill, Richard J. Physical Review Letters, Vol. 99, Issue 26 https://doi.org/10.1103/PhysRevLett.99.261601	journal	December 2007
Impact of hadronic and nuclear corrections on global analysis of spin-dependent parton distributions Jimenez-Delgado, P.; Accardi, A.; Melnitchouk, W. Physical Review D, Vol. 89, Issue 3 https://doi.org/10.1103/PhysRevD.89.034025	journal	February 2014
Exact Sum Rule for Nucleon Magnetic Moments Drell, S. D.; Hearn, A. C. Physical Review Letters, Vol. 16, Issue 20 https://doi.org/10.1103/PhysRevLett.16.908	journal	May 1966
The Drell-Hearn sum rule and the lepton magnetic moment in the Weinberg model of weak and electromagnetic interactions Altarelli, G.; Cabibbo, N.; Maiani, L. Physics Letters B, Vol. 40, Issue 3 https://doi.org/10.1016/0370-2693(72)90833-7	journal	July 1972
Forward Compton Scattering Damashek, Marc; Gilman, Frederick J. Physical Review D, Vol. 1, Issue 5 https://doi.org/10.1103/PhysRevD.1.1319	journal	March 1970
Systematics of radial and angular-momentum Regge trajectories of light nonstrange $q \bar{q}$ -states Masjuan, Pere; Arriola, Enrique Ruiz; Broniowski, Wojciech Physical Review D, Vol. 85, Issue 9 https://doi.org/10.1103/PhysRevD.85.094006	journal	May 2012
Regge model for nucleon-nucleon spin-dependent amplitudes Ford, William P.; Van Orden, J. W. Physical Review C, Vol. 87, Issue 1 https://doi.org/10.1103/PhysRevC.87.014004	journal	January 2013
�ber die Zahl der Dispersionselektronen, die einem station�ren Zustand zugeordnet sind Reiche, F.; Thomas, W. Zeitschrift f�r Physik, Vol. 34, Issue 1 https://doi.org/10.1007/BF01328494	journal	December 1925
Dispersion $γ Z$ -Box Correction to the Weak Charge of the Proton Gorchtein, M.; Horowitz, C. J. Physical Review Letters, Vol. 102, Issue 9 https://doi.org/10.1103/PhysRevLett.102.091806	journal	March 2009
Scattering of Light of Very Low Frequency by Systems of Spin ½ Low, F. E. Physical Review, Vol. 96, Issue 5 https://doi.org/10.1103/PhysRev.96.1428	journal	December 1954
Low energy analysis of $ν N \to ν N γ$ in the standard model Hill, Richard J. Physical Review D, Vol. 81, Issue 1 https://doi.org/10.1103/PhysRevD.81.013008	journal	January 2010
First Determination of the Weak Charge of the Proton Androic, D.; Armstrong, D. S.; Asaturyan, A. Physical Review Letters, Vol. 111, Issue 14 https://doi.org/10.1103/PhysRevLett.111.141803	journal	October 2013
Analysis of recent $ \eta$ photoproduction data Sibirtsev, A.; Haidenbauer, J.; Krewald, S. The European Physical Journal A, Vol. 46, Issue 3 https://doi.org/10.1140/epja/i2010-11049-2	journal	October 2010
Measurements of Parity-Violating Asymmetries in Electron-Deuteron Scattering in the Nucleon Resonance Region Wang, D.; Pan, K.; Subedi, R. Physical Review Letters, Vol. 111, Issue 8 https://doi.org/10.1103/PhysRevLett.111.082501	journal	August 2013
Über die Zahl der Dispersionselektronen, die einem stationären Zustande zugeordnet sind. (Vorläufige Mitteilung) Thomas, W. Die Naturwissenschaften, Vol. 13, Issue 28 https://doi.org/10.1007/BF01558908	journal	July 1925
Parity violation in $\vec{γ} p$ Compton scattering Chen, Jiunn-Wei; Cohen, Thomas D.; Kao, Chung Wen Physical Review C, Vol. 64, Issue 5 https://doi.org/10.1103/PhysRevC.64.055206	journal	October 2001
Polarizability of nucleons Baldin, A. M. Nuclear Physics, Vol. 18 https://doi.org/10.1016/0029-5582(60)90408-9	journal	August 1960
Unexplained Excess of Electronlike Events from a 1-GeV Neutrino Beam Aguilar-Arevalo, A. A.; Anderson, C. E.; Bazarko, A. O. Physical Review Letters, Vol. 102, Issue 10 https://doi.org/10.1103/PhysRevLett.102.101802	journal	March 2009
Event Excess in the MiniBooNE Search for ${\bar{ν}}_{μ} \to {\bar{ν}}_{e}$ Oscillations Aguilar-Arevalo, A. A.; Anderson, C. E.; Brice, S. J. Physical Review Letters, Vol. 105, Issue 18 https://doi.org/10.1103/PhysRevLett.105.181801	journal	October 2010
Parity-Violating Electron Scattering and the Electric and Magnetic Strange Form Factors of the Nucleon Armstrong, D. S.; McKeown, R. D. Annual Review of Nuclear and Particle Science, Vol. 62, Issue 1 https://doi.org/10.1146/annurev-nucl-102010-130419	journal	November 2012
Classical photoabsorption sum rules Brodsky, Stanley J.; Schmidt, Ivan Physics Letters B, Vol. 351, Issue 1-3 https://doi.org/10.1016/0370-2693(95)00372-R	journal	May 1995
Determination of the Strange Nucleon Form Factors Shanahan, P. E.; Horsley, R.; Nakamura, Y. Physical Review Letters, Vol. 114, Issue 9 https://doi.org/10.1103/PhysRevLett.114.091802	journal	March 2015

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