The $n_{f}$ terms of the three-loop cusp anomalous dimension in QCD - INSPIRE

DataBETA

The $n_{f}$ terms of the three-loop cusp anomalous dimension in QCD

Andrey Grozin
(
- Novosibirsk, IYF and
- Novosibirsk State U.
)
,
Johannes M. Henn
(
- Princeton, Inst. Advanced Study
)
,
Gregory P. Korchemsky
(
- IPhT, Saclay
)
,
Peter Marquard
(
- DESY, Zeuthen
)

Jun 30, 2014

8 pages

Part of Proceedings, 12th DESY Workshop on Elementary Particle Physics: Loops and Legs in Quantum Field Theory (LL2014) : Weimar, Germany, April 27-May 2, 2014, 016

Published in:

PoS LL2014 (2014) 016

Contribution to:

- LL2014
, 016

Published: 2014

e-Print:

1406.7828 [hep-th]

DOI:

10.22323/1.211.0016

Report number:

IPHT-T14-093,
DESY-14-113,
LPN14-080,
SFB-CPP-14-33

View in:

reference search8 citations

Citations per year

Abstract: (arXiv)

In this talk we present the result for the

n_f

dependent piece of the three-loop cusp anomalous dimension in QCD. Remarkably, it is parametrized by the same simple functions appearing in analogous anomalous dimensions in

{\mathcal N}=4

SYM at one and two loops. We also compute all required master integrals using a recently proposed refinement of the differential equation method. The analytic results are expressed in terms of harmonic polylogarithms of uniform weight.

Note:

8 pages, 2 figures; v2: typo in eq. (4.4) fixed, 'three-loop' added to title

anomalous dimension
quantum chromodynamics
differential equations
master integral

References(47)

Figures(2)

[1]

Gauge Fields as Rings of Glue

Alexander M. Polyakov
(
- Landau Inst.
)

- Nucl.Phys.B 164 (1980) 171-188
•
DOI:
- 10.1016/0550-3213(80)90507-6

[1]

Renormalization of Loop Functions for All Loops

Richard A. Brandt
(
- New York U.
)
,
Filippo Neri
(
- Rutgers U., Piscataway
)
,
Masa-aki Sato
(
- New York U.
)

- Phys.Rev.D 24 (1981) 879
•
DOI:
- 10.1103/PhysRevD.24.879

[2]

Loop Space Formalism and Renormalization Group for the Infrared Asymptotics of {QCD}

G.P. Korchemsky
(
- Southern Federal U.
)
,
A.V. Radyushkin
(
- Dubna, JINR
)

- Phys.Lett.B 171 (1986) 459-467,
- Phys. Lett. B171 (1986) 459-467 and Dubna Jinr - 85-716 (85,REC.JAN.86) 14p,
- In *Tbilisi 1986, Proceedings, Quarks '86* 405-413 and Dubna JINR - 85-716 (85,rec.Jan.86) 14 p.
•
DOI:
- 10.1016/0370-2693(86)91439-5

[2]

Infrared factorization, Wilson lines and the heavy quark limit

G.P. Korchemsky
(
- INFN, Parma and
- Parma U.
)
,
A.V. Radyushkin
(
- Marseille, CPT
)

- Phys.Lett.B 279 (1992) 359-366
•
e-Print:
- hep-ph/9203222
•
DOI:
- 10.1016/0370-2693(92)90405-S

[3]

Heavy quark symmetry

Matthias Neubert
(
- SLAC
)

- Phys.Rept. 245 (1994) 259-396
•
e-Print:
- hep-ph/9306320
•
DOI:
- 10.1016/0370-1573(94)90091-4

[3]

Heavy quark physics

Aneesh V. Manohar
(
- UC, San Diego
)
,
Mark B. Wise
(
- Caltech
)

- Camb.Monogr.Part.Phys.Nucl.Phys.Cosmol. 10 (2000) 1-191,
- Cambridge Monographs on Particle Physics, Nuclear Physics, and Cosmology, Vol. 10
•
DOI:
- 10.1017/9781009402125

[3]

Heavy quark effective theory

A.G. Grozin
(
- Novosibirsk, IYF
)

- Springer Tracts Mod.Phys. 201 (2004) 1-213,
- Berlin, Germany: Springer (2004) 213 p,
- (Springer tracts in modern physics. 201)
•
DOI:
- 10.1007/b79301

[4]

Renormalization of the Wilson Loops Beyond the Leading Order

G.P. Korchemsky
(
- Dubna, JINR
)
,
A.V. Radyushkin
(
- Dubna, JINR
)

- Nucl.Phys.B 283 (1987) 342-364,
- Nucl. Phys. B283 ( 1987) 342-364
•
DOI:
- 10.1016/0550-3213(87)90277-X

[4]

Two-loop soft anomalous dimensions and NNLL resummation for heavy quark production

Nikolaos Kidonakis
(
- Kennesaw State U.
)

- Phys.Rev.Lett. 102 (2009) 232003
•
e-Print:
- 0903.2561
•
DOI:
- 10.1103/PhysRevLett.102.232003

[4]

Generalized quark-antiquark potential at weak and strong coupling

- JHEP 06 (2011) 131
•
e-Print:
- 1105.5144
•
DOI:
- 10.1007/JHEP06(2011)131

[5]

The cusp anomalous dimension at three loops and beyond

- JHEP 05 (2012) 098
•
e-Print:
- 1203.1019
•
DOI:
- 10.1007/JHEP05(2012)098

[5]

Systematics of the cusp anomalous dimension

- JHEP 11 (2012) 058
•
e-Print:
- 1207.2161
•
DOI:
- 10.1007/JHEP11(2012)058

[5]

The four-loop cusp anomalous dimension in $\mathcal{N} =$ 4 super Yang-Mills and analytic integration techniques for Wilson line integrals

- JHEP 09 (2013) 147
•
e-Print:
- 1304.6418
•
DOI:
- 10.1007/JHEP09(2013)147

[6]

Wilson loops in large N field theories

Juan Martin Maldacena
(
- Harvard U.
)

- Phys.Rev.Lett. 80 (1998) 4859-4862
•
e-Print:
- hep-th/9803002
•
DOI:
- 10.1103/PhysRevLett.80.4859

[6]

Wilson loops and minimal surfaces

Nadav Drukker
(
- Santa Barbara, KITP and
- Princeton U.
)
,
David J. Gross
(
- Santa Barbara, KITP
)
,
Hirosi Ooguri
(
- UC, Berkeley and
- LBL, Berkeley
)

- Phys.Rev.D 60 (1999) 125006
•
e-Print:
- hep-th/9904191
•
DOI:
- 10.1103/PhysRevD.60.125006

[6]

Quark-antiquark potential in AdS at one loop

Valentina Forini
(
- Potsdam, Max Planck Inst.
)

- JHEP 11 (2010) 079
•
e-Print:
- 1009.3939
•
DOI:
- 10.1007/JHEP11(2010)079

[7]

An exact formula for the radiation of a moving quark in N=4 super Yang Mills

- JHEP 06 (2012) 048
•
e-Print:
- 1202.4455
•
DOI:
- 10.1007/JHEP06(2012)048

[7]

Exact results for static and radiative fields of a quark in N=4 super Yang-Mills

- JHEP 05 (2012) 093
•
e-Print:
- 1202.5292
•
DOI:
- 10.1007/JHEP05(2012)093

[8]

The quark anti-quark potential and the cusp anomalous dimension from a TBA equation

- JHEP 08 (2012) 134
•
e-Print:
- 1203.1913
•
DOI:
- 10.1007/JHEP08(2012)134

[8]

Integrable Wilson loops

Nadav Drukker
(
- King's Coll. London, Dept. Math
)

- JHEP 10 (2013) 135
•
e-Print:
- 1203.1617
•
DOI:
- 10.1007/JHEP10(2013)135

[8]

Analytic Solution of Bremsstrahlung TBA

- JHEP 11 (2012) 075
•
e-Print:
- 1207.5489
•
DOI:
- 10.1007/JHEP11(2012)075

[8]

Reformulating the TBA equations for the quark anti-quark potential and their two loop expansion

Zoltán Bajnok
(
- Wigner RCP, Budapest
)
,
János Balog
(
- Wigner RCP, Budapest
)
,
Diego H. Correa
(
- La Plata U.
)
,
Árpád Hegedüs
(
- Wigner RCP, Budapest
)
,
Fidel I. Schaposnik Massolo
(
- La Plata U.
)

et al.

- JHEP 03 (2014) 056
•
e-Print:
- 1312.4258
•
DOI:
- 10.1007/JHEP03(2014)056

[9]

Higgs-regularized three-loop four-gluon amplitude in N=4 SYM: exponentiation and Regge limits

Johannes M. Henn
(
- Humboldt U., Berlin
)
,
Stephen G. Naculich
(
- Bowdoin Coll.
)
,
Howard J. Schnitzer
(
- Brandeis U.
)
,
Marcus Spradlin
(
- Brown U.
)

- JHEP 04 (2010) 038
•
e-Print:
- 1001.1358
•
DOI:
- 10.1007/JHEP04(2010)038

[10]

Gauge / string duality for QCD conformal operators

Andrei V. Belitsky
(
- Maryland U.
)
,
A.S. Gorsky
(
- Moscow, ITEP and
- IHES, Bures-sur-Yvette
)
,
G.P. Korchemsky
(
- Orsay, LPT
)

- Nucl.Phys.B 667 (2003) 3-54
•
e-Print:
- hep-th/0304028
•
DOI:
- 10.1016/S0550-3213(03)00542-X

[11]

Iterated path integrals

Kuo-Tsai Chen

- Bull.Am.Math.Soc. 83 (1977) 831-879
•
DOI:
- 10.1090/S0002-9904-1977-14320-6

1-25 of 47
1
2
25 / page