On one master integral for three-loop on-shell HQET propagator diagrams with mass
arXiv:0705.2609 · doi:10.1088/1126-6708/2007/07/033
Abstract
An exact expression for the master integral I_2 arising in three-loop on-shell HQET propagator diagrams with mass is derived and its analytical expansion in the dimensional regularization parameter epsilon is given.
6 pages, 1 figure; v3: completely re-written, 2 new authors, many new results, additional references
References in corpus (11)
- Harmonic sums, Mellin transforms and Integrals
- Automatized analytic continuation of Mellin-Barnes integrals
- Nested Sums, Expansion of Transcendental Functions and Multi-Scale Multi-Loop Integrals
- Massive Feynman diagrams and inverse binomial sums
- Expansion around half-integer values, binomial sums and inverse binomial sums
- Gauss hypergeometric function: reduction, epsilon-expansion for integer/half-integer parameters and Feynman diagrams
- Applying Groebner Bases to Solve Reduction Problems for Feynman Integrals
- All order epsilon-expansion of Gauss hypergeometric functions with integer and half/integer values of parameters
- An Algorithm to Construct Groebner Bases for Solving Integration by Parts Relations
- Decoupling of heavy quarks in HQET
- One loop scalar functions in the heavy quark effective theory
Cited by in corpus (14)
- HypExp 2, Expanding Hypergeometric Functions about Half-Integer Parameters
- Mass effects in muon and semileptonic b -> c decays
- Three-Loop Chromomagnetic Interaction in HQET
- Heavy-to-heavy quark decays at NNLO
- Quantifying the performance of jet definitions for kinematic reconstruction at the LHC
- Renormalization of parton quasi-distributions beyond the leading order: spacelike vs. timelike
- Multiple (inverse) binomial sums of arbitrary weight and depth and the all-order epsilon-expansion of generalized hypergeometric functions with one half-integer value of parameter
- Reconciling thermal leptogenesis with the gravitino problem in SUSY models with mixed axion/axino dark matter
- Matching the heavy-quark fields in QCD and HQET at four loops
- Higher radiative corrections in HQET
- Hypergeometric functions with rational arguments
- Quark sector of Coulomb gauge Quantum Chromodynamics
- Introduction to effective field theories. 3. Bloch--Nordsieck effective theory, HQET
- Three-loop results in HQET