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We discuss a renormalization scheme for relativistic baryon chiral perturbation theory which provides a simple and consistent power counting for renormalized diagrams. The method involves finite subtractions of dimensionally regularized…

High Energy Physics - Phenomenology · Physics 2008-11-26 T. Fuchs , J. Gegelia , G. Japaridze , S. Scherer

We discuss the matching conditions and renormalization group evolution of non-relativistic QCD. A variant of the conventional MS-bar scheme is proposed in which a subtraction velocity nu is used rather than a subtraction scale mu. We derive…

High Energy Physics - Phenomenology · Physics 2009-10-31 Michael E. Luke , Aneesh V. Manohar , Ira Z. Rothstein

The first complete calculation of the quadratic quark mass correction to the correlator of the two currents relevant for the strangeness-changing semihadronic tau-decay rate is presented including its real part at the four-loop level. This…

High Energy Physics - Phenomenology · Physics 2008-11-26 P. A. Baikov , K. G. Chetyrkin , J. H. Kühn

We discuss the gauge dependence of fermion mass definition and physical result under the conventional on-shell mass renormalization scheme and the recently proposed pole mass renormalization scheme in standard model. By the two-loop…

High Energy Physics - Phenomenology · Physics 2007-05-23 Yong Zhou

Starting from a well defined local Lagrangian, we analyze the renormalization group equations in terms of the two different arbitrary scales associated with the regularization procedure and with the physical renormalization of the bare…

High Energy Physics - Theory · Physics 2018-10-12 Jean-François Mathiot

We introduce an optimal renormalization group analysis pertinent to the analysis of polarization functions associated with the $s$-quark mass relevant in $\tau$-decay. The technique is based on the renormalization group invariance…

High Energy Physics - Phenomenology · Physics 2016-12-30 B. Ananthanarayan , Diganta Das

We analyze the renormalization group equations for the Standard Model at the one and two loops levels. At one loop level we find an exact constant of evolution built from the product of the quark masses and the gauge couplings $g_{1}$ and $…

High Energy Physics - Phenomenology · Physics 2017-03-24 S. Rebeca Juárez W. , Piotr Kielanowski , Gerardo Mora , Arno Bohm

The general relation between the standard expansion coefficients and the beta function for the QCD coupling is exactly derived in a mathematically strict way. It is accordingly found that an infinite number of logarithmic terms are lost in…

High Energy Physics - Theory · Physics 2007-05-23 G. X. Peng

We reconsider the prediction of the semileptonic branching ratio of B mesons, using a recent calculation of the radiative corrections with account for finite quark masses in nonleptonic decays and taking into account 1/m_b^2 corrections.…

High Energy Physics - Phenomenology · Physics 2009-10-28 E. Bagan , Patricia Ball , V. M. Braun , P. Gosdzinsky

Models with vector-like leptons can strongly modify the lepton mass generation mechanism and lead to correlated effects in lepton-Higgs couplings and lepton dipole moments. Here we begin an analysis of higher-order corrections in such…

High Energy Physics - Phenomenology · Physics 2024-11-12 Kilian Möhling , Dominik Stöckinger , Hyejung Stöckinger-Kim

As an alternative to directly integrating their defining equations to find the running coupling $a(\mu)$ and the running mass $m(\mu)$, we expand these quantities in powers of $\ln\left(\frac{\mu}{\mu^\prime}\right)$ and their boundary…

High Energy Physics - Theory · Physics 2019-03-27 F. A. Chishtie , D. G. C. McKeon , T. N. Sherry

We study model-independently the implications of non-standard scalar and pseudoscalar interactions for the decays b ->s gamma, b -> s g, b -> s l^+l^- (l=e,mu) and B_s -> mu^+ mu^-. We find sizeable renormalization effects from scalar and…

High Energy Physics - Phenomenology · Physics 2008-11-26 G. Hiller , F. Krüger

We calculate the QCD factors $a_1$ and $a_2$, entering the tests of factorization in non-leptonic heavy meson decays, beyond the leading logarithmic approximation in three renormalization schemes (NDR, HV, DRED). We investigate their…

High Energy Physics - Phenomenology · Physics 2009-10-28 A. J. Buras

Analytic formulae for the one-loop order QCD corrections to the differential width of the semileptonic b decay are given with the tau polarization taken into account. Thence the polarization of tau is expressed by its energy and the…

High Energy Physics - Phenomenology · Physics 2009-10-30 M. Jezabek , P. Urban

The leptonic and semileptonic decay propertis of Bc mesons are studied in a QCD potential model. The CKM element for the leptonic decay is calculated by evaluating its decay constant. With the help of the Isgur-Wise function, the form…

High Energy Physics - Phenomenology · Physics 2025-11-17 K K Pathak , S Bhattacharya , T Das

We report results of our ongoing investigation concerning semileptonic decays of heavy pseudoscalar mesons into pseudoscalar and vector mesons. Particular attention is paid to uncertainties in the $q^2$ and the heavy quark mass dependence…

High Energy Physics - Lattice · Physics 2009-10-28 S. Güsken , K. Schilling , G. Siegert

We discuss the dependence of running couplings on the choice of regularization method in a general softly-broken N=1 supersymmetric theory. Regularization by dimensional reduction respects supersymmetry, but standard dimensional…

High Energy Physics - Phenomenology · Physics 2009-10-22 Stephen P. Martin , Michael T. Vaughn

The renormalization group is used to sum the leading-log (LL) contributions to the effective action for a large constant external gauge field in terms of the one-loop renormalization group (RG) function beta, the next-to-leading-log (NLL)…

High Energy Physics - Theory · Physics 2015-05-27 D. G. C. McKeon

Our Vcb extraction is based on recent Belle results, with unfolded kinematical dependence. We use two different parameterizations of the form factors, the CLN and BGL parameterizations. We discuss how the known discrepancy between the…

High Energy Physics - Phenomenology · Physics 2018-08-27 Vincenzo Afferrante , Guido Martinelli

Results of perturbation theory in quantum field theory generally depend on the renormalization scheme that is in use. In particular, they depend on the scale. We try to make perturbation theory scheme invariant by re-expanding with respect…

High Energy Physics - Phenomenology · Physics 2009-11-10 Chris Dams , Ronald Kleiss