Fetching the paper…

Reading the bibliography…

Non-renormalization Theorems without Supersymmetry · Around

2015

Non-renormalization Theorems without Supersymmetry

Cheung, Clifford, Shen, Chia-Hsien

Original
PDF
Post on X

Understand

We derive a new class of one-loop non-renormalization theorems that strongly constrain the running of higher dimension operators in a general four-dimensional quantum field theory.

Our logic follows from unitarity: cuts of one-loop amplitudes are products of tree amplitudes, so if the latter vanish then so too will the associated divergences.
Finiteness is then ensured by simple selection rules that zero out tree amplitudes for certain helicity configurations.
For each operator we define holomorphic and anti-holomorphic weights, $(w,\overline w) =(n - h,n+h)$, where $n$ and $h$ are the number and sum over helicities of the particles created by that operator.

Built on

T. Kinoshita, J.Math.Phys. 3
1962
Earlier work this paper cites.
T. Lee and M. Nauenberg, Phys.Rev. 133
1964
Earlier work this paper cites.
S. Weinberg, Phys.Rev. 140
1965
Earlier work this paper cites.
G. Passarino and M. Veltman, Nucl.Phys. B160
1979
Earlier work this paper cites.
J. Gasser and H. Leutwyler, Annals Phys. 158
1984
Earlier work this paper cites.
S. J. Parke and T. Taylor, Phys.Lett. B157
1985
Earlier work this paper cites.
Z. Kunszt, Nucl.Phys. B271
1986
Earlier work this paper cites.

Similar

Z. Bern, L. J. Dixon, and D. A. Kosower, Phys.Rev.Lett. 70
1993
Cited alongside, same era.
G. Mahlon, Phys.Rev. D49
1994
Cited alongside, same era.
Z. Bern, L. J. Dixon, D. C. Dunbar, and D. A. Kosower, Nucl.Phys. B435
1995
Cited alongside, same era.
L. J. Dixon, (1996), arXiv:hep-ph/9601359 [hep-ph]
1996
Cited alongside, same era.
P. Benincasa and F. Cachazo, (2007), arXiv:0705.4305 [hep-th]
Original
2007
Cited alongside, same era.
C. Cheung and D. O’Connell, JHEP 0907
Original
2009
Cited alongside, same era.

Then

B. Grzadkowski, M. Iskrzynski, M. Misiak, and J. Rosiek, JHEP 1010
Original
2010
Later among the works it cites.
L. J. Dixon, J. M. Henn, J. Plefka, and T. Schuster, JHEP 1101
Original
2011
Later among the works it cites.
C. Grojean, E. E. Jenkins, A. V. Manohar, and M. Trott, JHEP 1304
Original
2013
Later among the works it cites.
Y.-t. Huang, D. A. McGady, and C. Peng, Phys.Rev. D87
Original
2013
Later among the works it cites.
E. E. Jenkins, A. V. Manohar, and M. Trott, JHEP 1401
Original
2014
Later among the works it cites.

Beyond the bibliography

alphaXiv searches the wider corpus for related work and actual follow-ups.

Open on alphaXiv

alphaXiv is searching for related work…

N. Arkani-Hamed, F. Cachazo, and J. Kaplan, JHEP 1009

2010

Cited alongside, same era.

Z. Bern, L. J. Dixon, D. C. Dunbar, and D. A. Kosower, Nucl.Phys. B425

Cited in the paper.

R. Alonso, E. E. Jenkins, and A. V. Manohar, Phys.Lett. B739

Cited in the paper.

E. E. Jenkins, A. V. Manohar, and M. Trott, JHEP 1310

Cited in the paper.

J. Elias-Miró, J. Espinosa, E. Masso, and A. Pomarol, JHEP 1308

Cited in the paper.

J. Elias-Miró, J. Espinosa, E. Masso, and A. Pomarol, JHEP 1311

Cited in the paper.

R. Alonso, E. E. Jenkins, A. V. Manohar, and M. Trott, JHEP 1404

2014

Later among the works it cites.